Epidemic Dynamics in Heterogeneous Populations

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Publisher :
ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.:/5 (817 download)

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Book Synopsis Epidemic Dynamics in Heterogeneous Populations by : Thomas Joseph Hladish

Download or read book Epidemic Dynamics in Heterogeneous Populations written by Thomas Joseph Hladish and published by . This book was released on 2012 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Epidemiological models traditionally make the assumption that populations are homogeneous. By relaxing that assumption, models often become more complicated, but better representations of the real world. Here we describe new computational tools for studying heterogeneous populations, and we examine consequences of two particular types of heterogeneity: that people are not all equally likely to interact, and that people are not all equally likely to become infected if exposed to a pathogen. Contact network epidemiology provides a robust and flexible paradigm for thinking about heterogeneous populations. Despite extensive mathematical and algorithmic methods, however, we lack a programming framework for working with epidemiological contact networks and for the simulation of disease transmission through such networks. We present EpiFire, a C++ applications programming interface and graphical user interface, which includes a fast and efficient library for generating, analyzing and manipulating networks. EpiFire also provides a variety of traditional and network-based epidemic simulations. Heterogeneous population structure may cause multi-wave epidemics, but urban populations are generally assumed to be too well mixed to have such structure. Multi-wave epidemics are not predicted by simple models, and are particularly problematic for public health officials deploying limited resources. Using a unique empirical interaction network for 103,000 people in Montreal, Canada, we show that large, urban populations may feature sufficient community structure to drive multi-wave dynamics, and that highly connected individuals may play an important role in whether communities are synchronized. Finally, we show that heterogeneous immunity is an important determinant of influenza epidemic size. While many epidemic models assume a homogeneously susceptible population and describe dynamics for one season, the trans-seasonal dynamics of partially immunizing diseases likely play a critical role in determining both future epidemic size and pathogen evolution. We present a multi-season network model of a population exposed to a pathogen conferring partial cross-immunity that decays over time. We fit the model to 25 years of influenza-like illness epidemic data from France using a novel Bayesian technique. Using conservative priors, we estimate important epidemiological quantities that are consistent with empirical studies.

The Population Dynamics of Infectious Diseases: Theory and Applications

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Publisher : Springer
ISBN 13 : 1489929010
Total Pages : 380 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis The Population Dynamics of Infectious Diseases: Theory and Applications by : Roy M. Anderson

Download or read book The Population Dynamics of Infectious Diseases: Theory and Applications written by Roy M. Anderson and published by Springer. This book was released on 2013-11-22 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the beginning of this century there has been a growing interest in the study of the epidemiology and population dynamics of infectious disease agents. Mathematical and statistical methods have played an important role in the development of this field and a large, and sophisticated, literature exists which is concerned with the theory of epidemiological processes in popu lations and the dynamics of epidemie and endemie disease phenomena. Much ofthis literature is, however, rather formal and abstract in character, and the field has tended to become rather detached from its empirical base. Relatively little of the literature, for example, deals with the practical issues which are of major concern to public health workers. Encouragingly, in recent years there are signs of an increased awareness amongst theoreticians of the need to confront predictions with observed epidemiological trends, and to pay elose attention to the biological details of the interaction between host and disease agent. This trend has in part been stimulated by the early work of Ross and Macdonald, on the transmission dynamics of tropical parasitic infections, but a further impetus has been the recent advances made by ecologists in blending theory and observation in the study of plant and animal populations.

Epidemic Dynamics in Metapopulations

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (119 download)

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Book Synopsis Epidemic Dynamics in Metapopulations by : Christina Tadiri

Download or read book Epidemic Dynamics in Metapopulations written by Christina Tadiri and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Understanding infectious disease dynamics is of fundamental concern to human health and conservation, particularly in the context of globalization, habitat fragmentation and climate change.This thesis uses the well-studied model system of guppies and their ectoparasite, Gyrodactylus turnbulli to investigate how heterogeneity at multiple levels of interest may influence host-parasite dynamics in metapopulations using a series of laboratory experiments bridged with theoretical work. It specifically examines three types of heterogeneity at the individual, population and metapopulation level that may affect parasite dynamics at those levels and demonstrates theoretically the importance of heterogeneity in individual resistance.At the metapopulation level the effect of variability in initial parasite distribution among tanks and the presence or absence of connectivity on host and parasite outcomes was investigated using isolated tanks into which either a high or low number of parasites were introduced, and groups of tanks connected by host migration into which a high number of parasites were introduced to one tank or a low number of parasites were introduced to all tanks. It was found that, in accord with basic metapopulation and epidemiolocal theory, connectivity increased parasite persistence in metapopulations compared to isolated tanks.Importantly an interactive effect of connectivity and parasite load on host outcomes was detected: at low parasite introductory loads, connectivity had no impact on parasite mean intensity, however at high loads connectivity lowered the mean intensity, indicating an importance of considering parasite distribution when determining disease mitigation and conservation strategies.Moving one level down, heterogeneity at the population level was investigated specifically in the form of sex and sex ratio and group size. It was found that females endured higher parasite loads than males in isolation, and that parasites persisted for longer in groups than on isolated fish, regardless of whether they were all-male, all-female or mixed-sex, again highlighting the importance of connectivity to disease persistence. Again, an important interactive effect of heterogeneity and connectivity was observed, as no difference in parasite burdens was observed among groups, indicating a benefit of connectivity for female hosts. At the individual level, data from the first metapopulation experiment were re-examined in the context of individual host competence, and the role that heterogeneity in migrating individuals may have on disease incidence. Fish were categorized as having intense infections, prolonged infections, both or neither, and it was found that fish with prolonged infections, regardless of parasite intensity were responsible for the most transmission, indicating that tolerance may be an important and overlooked mechanism in the spread of infectious disease and that individual heterogeneity in resistance and tolerance can impact metapopulation outcomes. Finally, data obtained from these experiments were used to develop a mathematical model that describes this system. The model can also be used to predict longer-term dynamics and to estimate the effects of various parameters that we have not been able to effectively test in the laboratory, as well as identify parameters whose heterogeneity have the greatest impact on host-parasite dynamics through sensitivity analysis. Outbreak peak magnitude and timing were most sensitive to parameters relating to host resistance and parasite virulence, indicating that heterogeneity in these traits has the potential to impact epidemic dynamics. Ideally, this model can be applied to other directly transmitted, directly reproducing parasites for which parasite burden impacts host-parasite relations. Together, these projects offer further insight into epidemic dynamics in metapopulations and the role of host heterogeneity and connectivity in the dissemination of disease"--

Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains

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Publisher : CRC Press
ISBN 13 : 1351251686
Total Pages : 338 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains by : Harkaran Singh

Download or read book Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains written by Harkaran Singh and published by CRC Press. This book was released on 2018-12-07 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mankind now faces even more challenging environment- and health-related problems than ever before. Readily available transportation systems facilitate the swift spread of diseases as large populations migrate from one part of the world to another. Studies on the spread of the communicable diseases are very important. This book, Mathematical Population Dynamics and Epidemiology in Temporal and Spatio-Temporal Domains, provides a useful experimental tool for making practical predictions, building and testing theories, answering specific questions, determining sensitivities of the parameters, forming control strategies, and much more. This volume focuses on the study of population dynamics with special emphasis on the migration of populations and the spreading of epidemics among human and animal populations. It also provides the background needed to interpret, construct, and analyze a wide variety of mathematical models. Most of the techniques presented in the book can be readily applied to model other phenomena, in biology as well as in other disciplines.

Modeling the Heterogeneous Temporal Dynamics of Epidemics on Networks

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (135 download)

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Book Synopsis Modeling the Heterogeneous Temporal Dynamics of Epidemics on Networks by : Andrea Joan Allen

Download or read book Modeling the Heterogeneous Temporal Dynamics of Epidemics on Networks written by Andrea Joan Allen and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models of infectious disease are important tools for understanding large-scale patterns of how a disease spreads through a population. Predictions of trends from disease models help guide public health prevention and mitigation measures. Most simple disease models assume that the population is randomly mixed, but real-world populations exhibit heterogeneous patterns in the way people interact. These differences in population structure can be represented by networks. Networks can then be incorporated into disease models by using various interdisciplinary concepts and tools. Yet even network disease models often overlook that populations change over time. In this thesis, two models of infectious disease are presented, for the purpose of analyzing how the spread of the disease evolves over time, particularly when the population is also changing.To model a changing population, a sequence of different networks can each be associated with a length of time each is active for. Although, how to construct these networks from real contact data, from things like wearable sensors, is a nontrivial problem. We present a method to ascertain if temporal data can be aggregated into a single network, or not. This method underlies an algorithm for compressing real data into a time-varying sequence of networks, creating a system still tractable enough to use existing network analysis tools. We show how fine-grained temporal contact data can be compressed into just a handful of ordered, static networks while preserving the most significant temporal trends of the dynamic population. Not only do populations change over time, but there is also inherent randomness involved in the spread of disease between individuals. To account for this, the underlying random process can be used as the basis for the disease model. Here, one particular model is presented that uses a random, or stochastic, framework to predict the temporal evolution of the spread of disease by tracking generations of infected individuals over time. We show that often the distribution of cumulative infections is heavy tailed, implying that deterministic models of spread, which present average point estimates, do not account for underlying uncertainty. The two models presented in this thesis address the heterogeneity of the temporal dynamics of infectious disease spread through a population. These models also contribute to a body of work focused on designing models that can leverage real data about population structure and contact patterns to produce more accurate predictions and insights.

Mathematical Epidemiology

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Publisher : Springer Science & Business Media
ISBN 13 : 3540789103
Total Pages : 415 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Mathematical Epidemiology by : Fred Brauer

Download or read book Mathematical Epidemiology written by Fred Brauer and published by Springer Science & Business Media. This book was released on 2008-04-30 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca).

Mathematical Tools for Understanding Infectious Disease Dynamics

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Publisher : Princeton University Press
ISBN 13 : 1400845629
Total Pages : 517 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematical Tools for Understanding Infectious Disease Dynamics by : Odo Diekmann

Download or read book Mathematical Tools for Understanding Infectious Disease Dynamics written by Odo Diekmann and published by Princeton University Press. This book was released on 2012-11-18 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling is critical to our understanding of how infectious diseases spread at the individual and population levels. This book gives readers the necessary skills to correctly formulate and analyze mathematical models in infectious disease epidemiology, and is the first treatment of the subject to integrate deterministic and stochastic models and methods. Mathematical Tools for Understanding Infectious Disease Dynamics fully explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology. This comprehensive and accessible book also features numerous detailed exercises throughout; full elaborations to all exercises are provided. Covers the latest research in mathematical modeling of infectious disease epidemiology Integrates deterministic and stochastic approaches Teaches skills in model construction, analysis, inference, and interpretation Features numerous exercises and their detailed elaborations Motivated by real-world applications throughout

Infectious Diseases of Humans

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Publisher : Oxford University Press
ISBN 13 : 9780198540403
Total Pages : 772 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Infectious Diseases of Humans by : Roy M. Anderson

Download or read book Infectious Diseases of Humans written by Roy M. Anderson and published by Oxford University Press. This book was released on 1991 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with infectious diseases -- viral, bacterial, protozoan and helminth -- in terms of the dynamics of their interaction with host populations. The book combines mathematical models with extensive use of epidemiological and other data. This analytic framework is highly useful for the evaluation of public health strategies aimed at controlling or eradicating particular infections. Such a framework is increasingly important in light of the widespread concern for primary health care programs aimed at such diseases as measles, malaria, river blindness, sleeping sickness, and schistosomiasis, and the advent of AIDS/HIV and other emerging viruses. Throughout the book, the mathematics is used as a tool for thinking clearly about fundamental and applied problems having to do with infectious diseases. The book is divided into two parts, one dealing with microparasites (viruses, bacteria and protozoans) and the other with macroparasites (helminths and parasitic arthropods). Each part begins with simple models, developed in a biologically intuitive way, and then goes on to develop more complicated and realistic models as tools for public health planning. The book synthesizes previous work in this rapidly growing field (much of which is scattered between the ecological and the medical literature) with a good deal of new material.

Gonorrhea Transmission Dynamics and Control

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Publisher : Springer
ISBN 13 : 366207544X
Total Pages : 116 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Gonorrhea Transmission Dynamics and Control by : H. W. Hethcote

Download or read book Gonorrhea Transmission Dynamics and Control written by H. W. Hethcote and published by Springer. This book was released on 2014-03-11 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Short History of Mathematical Population Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 0857291157
Total Pages : 160 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis A Short History of Mathematical Population Dynamics by : Nicolas Bacaër

Download or read book A Short History of Mathematical Population Dynamics written by Nicolas Bacaër and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.

Mathematical Models in Population Biology and Epidemiology

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Publisher : Springer Science & Business Media
ISBN 13 : 1475735162
Total Pages : 432 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematical Models in Population Biology and Epidemiology by : Fred Brauer

Download or read book Mathematical Models in Population Biology and Epidemiology written by Fred Brauer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

Modeling Transmission Heterogeneity for Infectious Disease Outbreaks

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Publisher :
ISBN 13 :
Total Pages : 127 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Modeling Transmission Heterogeneity for Infectious Disease Outbreaks by : Maimuna Shahnaz Majumder

Download or read book Modeling Transmission Heterogeneity for Infectious Disease Outbreaks written by Maimuna Shahnaz Majumder and published by . This book was released on 2018 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: The transmissibility of a given infectious disease is often described by its basic reproduction number (Ro) - namely, the average number of secondary infections caused by an index case in a fully susceptible population. Typical approaches to modeling transmission dynamics associated with infectious disease outbreaks frequently use Ro to produce deterministic case count projections, in effect treating the affected population as homogeneous (i.e. as if every individual in the population interest has an equal likelihood of passing on the infection of interest). As a result, such approaches often fail to effectively capture transmission dynamics during real-world outbreaks in heterogeneous populations. Here, we use analytical and simulation methods to show that the treatment of Ro as the mean of a random variable (thus permitting the estimation of non-deterministic case count projections) allows us to better assess outbreak trajectory and likelihood of disease propagation in non-homogeneous populations (Chapter 2). We then empirically investigate predictors of in-population transmission heterogeneity (i.e. the fact that some individuals in a given population are more likely than others to pass on the infection of interest) within the context of Middle East Respiratory Syndrome in South Korea using a combination of statistical- and review-driven approaches (Chapter 3). Then, in Chapter 4, we explore how in-population transmission heterogeneity can be used to our advantage through the deployment of risk-informed interventions (i.e. in which individuals who are more likely to pass on the infection of interest are exclusively targeted to receive the intervention) during infectious disease outbreaks. More specifically, we use the analytical and simulation methods first introduced in Chapter 2 - paired with inpopulation transmission heterogeneity data from Chapter 3 - to compare the utility of a variance-informed deployment scheme against a traditional, uniform deployment scheme (i.e. in which every individual has an equal likelihood of receiving the intervention). Finally, building off of our findings in Chapters 2, 3, and 4, we recommend four interrelated policies in Chapter 5 that aim to (1) normalize the treatment and reporting of Ro as the mean of a random variable and (2) improve access to the data required to sufficiently capture population heterogeneity when modeling disease propagation.

Dynamical Modeling and Analysis of Epidemics

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Publisher : World Scientific
ISBN 13 : 9812797491
Total Pages : 513 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Dynamical Modeling and Analysis of Epidemics by : Zhien Ma

Download or read book Dynamical Modeling and Analysis of Epidemics written by Zhien Ma and published by World Scientific. This book was released on 2009 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely book covers the basic concepts of the dynamics of epidemic disease, presenting various kinds of models as well as typical research methods and results. It introduces the latest results in the current literature, especially those obtained by highly rated Chinese scholars. A lot of attention is paid to the qualitative analysis of models, the sheer variety of models, and the frontiers of mathematical epidemiology. The process and key steps in epidemiological modeling and prediction are highlighted, using transmission models of HIV/AIDS, SARS, and tuberculosis as application examples.

Mathematical Models in Epidemiology

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Publisher : Springer Nature
ISBN 13 : 1493998285
Total Pages : 628 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Mathematical Models in Epidemiology by : Fred Brauer

Download or read book Mathematical Models in Epidemiology written by Fred Brauer and published by Springer Nature. This book was released on 2019-10-10 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.

Modeling Infectious Diseases in Humans and Animals

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Publisher : Princeton University Press
ISBN 13 : 1400841038
Total Pages : 385 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Modeling Infectious Diseases in Humans and Animals by : Matt J. Keeling

Download or read book Modeling Infectious Diseases in Humans and Animals written by Matt J. Keeling and published by Princeton University Press. This book was released on 2011-09-19 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: For epidemiologists, evolutionary biologists, and health-care professionals, real-time and predictive modeling of infectious disease is of growing importance. This book provides a timely and comprehensive introduction to the modeling of infectious diseases in humans and animals, focusing on recent developments as well as more traditional approaches. Matt Keeling and Pejman Rohani move from modeling with simple differential equations to more recent, complex models, where spatial structure, seasonal "forcing," or stochasticity influence the dynamics, and where computer simulation needs to be used to generate theory. In each of the eight chapters, they deal with a specific modeling approach or set of techniques designed to capture a particular biological factor. They illustrate the methodology used with examples from recent research literature on human and infectious disease modeling, showing how such techniques can be used in practice. Diseases considered include BSE, foot-and-mouth, HIV, measles, rubella, smallpox, and West Nile virus, among others. Particular attention is given throughout the book to the development of practical models, useful both as predictive tools and as a means to understand fundamental epidemiological processes. To emphasize this approach, the last chapter is dedicated to modeling and understanding the control of diseases through vaccination, quarantine, or culling. Comprehensive, practical introduction to infectious disease modeling Builds from simple to complex predictive models Models and methodology fully supported by examples drawn from research literature Practical models aid students' understanding of fundamental epidemiological processes For many of the models presented, the authors provide accompanying programs written in Java, C, Fortran, and MATLAB In-depth treatment of role of modeling in understanding disease control

Mathematics of Epidemics on Networks

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Publisher : Springer
ISBN 13 : 3319508067
Total Pages : 423 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Mathematics of Epidemics on Networks by : István Z. Kiss

Download or read book Mathematics of Epidemics on Networks written by István Z. Kiss and published by Springer. This book was released on 2017-06-08 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an exciting new addition to the area of network science featuring a stronger and more methodical link of models to their mathematical origin and explains how these relate to each other with special focus on epidemic spread on networks. The content of the book is at the interface of graph theory, stochastic processes and dynamical systems. The authors set out to make a significant contribution to closing the gap between model development and the supporting mathematics. This is done by: Summarising and presenting the state-of-the-art in modeling epidemics on networks with results and readily usable models signposted throughout the book; Presenting different mathematical approaches to formulate exact and solvable models; Identifying the concrete links between approximate models and their rigorous mathematical representation; Presenting a model hierarchy and clearly highlighting the links between model assumptions and model complexity; Providing a reference source for advanced undergraduate students, as well as doctoral students, postdoctoral researchers and academic experts who are engaged in modeling stochastic processes on networks; Providing software that can solve differential equation models or directly simulate epidemics on networks. Replete with numerous diagrams, examples, instructive exercises, and online access to simulation algorithms and readily usable code, this book will appeal to a wide spectrum of readers from different backgrounds and academic levels. Appropriate for students with or without a strong background in mathematics, this textbook can form the basis of an advanced undergraduate or graduate course in both mathematics and other departments alike.

Mathematical Population Dynamics: Analysis of Heterogeneity Volume One:theory of Epidemics

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (115 download)

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Book Synopsis Mathematical Population Dynamics: Analysis of Heterogeneity Volume One:theory of Epidemics by : Ovide Arino

Download or read book Mathematical Population Dynamics: Analysis of Heterogeneity Volume One:theory of Epidemics written by Ovide Arino and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: