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Bayesian Inference For Infectious Disease Transmission Models Based On Ordinary Differential Equations
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Book Synopsis Bayesian Inference for Infectious Disease Transmission Models Based on Ordinary Differential Equations by : Felix Weidemann
Download or read book Bayesian Inference for Infectious Disease Transmission Models Based on Ordinary Differential Equations written by Felix Weidemann and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Modeling Approach To Infectious Diseases, A: Cross Diffusion Pde Models For Epidemiology by : Schiesser William E
Download or read book Mathematical Modeling Approach To Infectious Diseases, A: Cross Diffusion Pde Models For Epidemiology written by Schiesser William E and published by World Scientific. This book was released on 2018-06-27 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling Paradigms and Analysis of Disease Transmission Models by : Abba B. Gumel
Download or read book Modeling Paradigms and Analysis of Disease Transmission Models written by Abba B. Gumel and published by American Mathematical Soc.. This book was released on 2010 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume stems from two DIMACS activities, the U.S.-Africa Advanced Study Institute and the DIMACS Workshop, both on Mathematical Modeling of Infectious Diseases in Africa, held in South Africa in the summer of 2007. It contains both tutorial papers and research papers. Students and researchers should find the papers on modeling and analyzing certain diseases currently affecting Africa very informative. In particular, they can learn basic principles of disease modeling and stability from the tutorial papers where continuous and discrete time models, optimal control, and stochastic features are introduced.
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.
Book Synopsis Mathematical Epidemiology by : Fred Brauer
Download or read book Mathematical Epidemiology written by Fred Brauer and published by Springer. This book was released on 2008-04-13 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).
Book Synopsis Mathematical Modelling and Analysis of Infectious Diseases by : Khalid Hattaf
Download or read book Mathematical Modelling and Analysis of Infectious Diseases written by Khalid Hattaf and published by Springer Nature. This book was released on 2020-07-30 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses significant research and study topics related to mathematical modelling and analysis of infectious diseases. It includes several models and modelling approaches with different aims, such as identifying and analysing causes of occurrence and re-occurrence, causes of spreading, treatments and control strategies. A valuable resource for researchers, students, educators, scientists, professionals and practitioners interested in gaining insights into various aspects of infectious diseases using mathematical modelling and mathematical analysis, the book will also appeal to general readers wanting to understand the dynamics of various diseases and related issues. Key Features Mathematical models that describe population prevalence or incidence of infectious diseases Mathematical tools and techniques to analyse data on the incidence of infectious diseases Early detection and risk estimate models of infectious diseases Mathematical models that describe the transmission of infectious diseases and analyse data Dynamical analysis and control strategies for infectious diseases Studies comparing the utility of particular models in describing infected diseases-related issues such as social, health and economic
Book Synopsis Bayesian Analysis of Infectious Diseases by : Lyle D. Broemeling
Download or read book Bayesian Analysis of Infectious Diseases written by Lyle D. Broemeling and published by CRC Press. This book was released on 2021-02-08 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bayesian Analysis of Infectious Diseases -COVID-19 and Beyond shows how the Bayesian approach can be used to analyze the evolutionary behavior of infectious diseases, including the coronavirus pandemic. The book describes the foundation of Bayesian statistics while explicating the biology and evolutionary behavior of infectious diseases, including viral and bacterial manifestations of the contagion. The book discusses the application of Markov Chains to contagious diseases, previews data analysis models, the epidemic threshold theorem, and basic properties of the infection process. Also described are the chain binomial model for the evolution of epidemics. Features: Represents the first book on infectious disease from a Bayesian perspective. Employs WinBUGS and R to generate observations that follow the course of contagious maladies. Includes discussion of the coronavirus pandemic as well as many examples from the past, including the flu epidemic of 1918-1919. Compares standard non-Bayesian and Bayesian inferences. Offers a companion website with the R and WinBUGS code.
Book Synopsis Modeling Infectious Disease Parameters Based on Serological and Social Contact Data by : Niel Hens
Download or read book Modeling Infectious Disease Parameters Based on Serological and Social Contact Data written by Niel Hens and published by Springer Science & Business Media. This book was released on 2012-10-24 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical epidemiology of infectious diseases usually involves describing the flow of individuals between mutually exclusive infection states. One of the key parameters describing the transition from the susceptible to the infected class is the hazard of infection, often referred to as the force of infection. The force of infection reflects the degree of contact with potential for transmission between infected and susceptible individuals. The mathematical relation between the force of infection and effective contact patterns is generally assumed to be subjected to the mass action principle, which yields the necessary information to estimate the basic reproduction number, another key parameter in infectious disease epidemiology. It is within this context that the Center for Statistics (CenStat, I-Biostat, Hasselt University) and the Centre for the Evaluation of Vaccination and the Centre for Health Economic Research and Modelling Infectious Diseases (CEV, CHERMID, Vaccine and Infectious Disease Institute, University of Antwerp) have collaborated over the past 15 years. This book demonstrates the past and current research activities of these institutes and can be considered to be a milestone in this collaboration. This book is focused on the application of modern statistical methods and models to estimate infectious disease parameters. We want to provide the readers with software guidance, such as R packages, and with data, as far as they can be made publicly available.
Book Synopsis Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases by : Dongmei Chen
Download or read book Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases written by Dongmei Chen and published by John Wiley & Sons. This book was released on 2014-12-01 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features modern research and methodology on the spread of infectious diseases and showcases a broad range of multi-disciplinary and state-of-the-art techniques on geo-simulation, geo-visualization, remote sensing, metapopulation modeling, cloud computing, and pattern analysis Given the ongoing risk of infectious diseases worldwide, it is crucial to develop appropriate analysis methods, models, and tools to assess and predict the spread of disease and evaluate the risk. Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases features mathematical and spatial modeling approaches that integrate applications from various fields such as geo-computation and simulation, spatial analytics, mathematics, statistics, epidemiology, and health policy. In addition, the book captures the latest advances in the use of geographic information system (GIS), global positioning system (GPS), and other location-based technologies in the spatial and temporal study of infectious diseases. Highlighting the current practices and methodology via various infectious disease studies, Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases features: Approaches to better use infectious disease data collected from various sources for analysis and modeling purposes Examples of disease spreading dynamics, including West Nile virus, bird flu, Lyme disease, pandemic influenza (H1N1), and schistosomiasis Modern techniques such as Smartphone use in spatio-temporal usage data, cloud computing-enabled cluster detection, and communicable disease geo-simulation based on human mobility An overview of different mathematical, statistical, spatial modeling, and geo-simulation techniques Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases is an excellent resource for researchers and scientists who use, manage, or analyze infectious disease data, need to learn various traditional and advanced analytical methods and modeling techniques, and become aware of different issues and challenges related to infectious disease modeling and simulation. The book is also a useful textbook and/or supplement for upper-undergraduate and graduate-level courses in bioinformatics, biostatistics, public health and policy, and epidemiology.
Book Synopsis Bayesian Uncertainty Quantification for Differential Equation Models Related to Financial Volatility and Disease Transmission by : Kai Yin
Download or read book Bayesian Uncertainty Quantification for Differential Equation Models Related to Financial Volatility and Disease Transmission written by Kai Yin and published by . This book was released on 2021 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Bayesian approach is used to calibrate financial volatility and disease transmission models. The Bayesian approach can incorporate heterogeneous information through a hierarchical structure and provides a natural mechanism for regularization in the form of prior distributions. It also provides a quantitative assessment of uncertainties for the model input parameters via a posterior probability distribution. A hierarchical Bayes model is used to fuse asset price data in the physical measure and derivative price data in the risk-neutral measure to reduce uncertainties in the volatility estimation. The Karhunen-Lo\`eve expansion is used for dimension reduction of the unknown volatility functionals in the context of stochastic and local volatility models. The forward derivative pricing models are non-linear; hence, the Bayesian inference is based on Markov Chain Monte Carlo (MCMC) samples from the posterior distribution. The need for multiple evaluations of the forward model and the high dimensionality of the posteriors result in many computation challenges in the MCMC sampling. A two-stage adaptive Metropolis algorithm is used where the bad proposals are screened in the first inexpensive stage, and the proposals are drawn adaptively using the past samples, which results in faster convergence and mixing of the chain. A retrospective study of the COVID-19 transmission dynamics in Indian states is conducted by using a modified population-based SEIR model that incorporates the mobility data, testing data, and public behavior factors. A fully Bayesian method is used to calibrate the proposed model with reported epidemic data on daily cases, deaths, and recoveries. The calibrated model is used to estimate undetected cases and study the effects of different initial non-pharmaceutical intervention strategies.
Book Synopsis Handbook of Infectious Disease Data Analysis by : Leonhard Held
Download or read book Handbook of Infectious Disease Data Analysis written by Leonhard Held and published by CRC Press. This book was released on 2019-11-07 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen an explosion in new kinds of data on infectious diseases, including data on social contacts, whole genome sequences of pathogens, biomarkers for susceptibility to infection, serological panel data, and surveillance data. The Handbook of Infectious Disease Data Analysis provides an overview of many key statistical methods that have been developed in response to such new data streams and the associated ability to address key scientific and epidemiological questions. A unique feature of the Handbook is the wide range of topics covered. Key features Contributors include many leading researchers in the field Divided into four main sections: Basic concepts, Analysis of Outbreak Data, Analysis of Seroprevalence Data, Analysis of Surveillance Data Numerous case studies and examples throughout Provides both introductory material and key reference material
Book Synopsis Mathematical Models for Communicable Diseases by : Fred Brauer
Download or read book Mathematical Models for Communicable Diseases written by Fred Brauer and published by SIAM. This book was released on 2013-02-07 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.
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 2013 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book 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.
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.
Book Synopsis Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic by : Sarah Marie Treibert
Download or read book Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic written by Sarah Marie Treibert and published by Springer Nature. This book was released on 2021-12-11 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the prediction of possible future scenarios concerning the COVID-19 pandemic. Based on the well-known SIR model by Kermack and McKendrick a compartment model is established. This model comprises its own assumptions, transition rates and transmission dynamics, as well as a corresponding system of ordinary differential equations. Making use of numerical methods and a nonstandard-finite-difference scheme, two submodels are implemented in Matlab in order to make parameter estimations and compare different scenarios with each other.
Book Synopsis Vertically Transmitted Diseases by : Stavros Busenberg
Download or read book Vertically Transmitted Diseases written by Stavros Busenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infectious diseases are transmitted through various different mechanisms including person to person interactions, by insect vectors and via vertical transmission from a parent to an unborn offspring. The population dynamics of such disease transmission can be very complicated and the development of rational strategies for controlling and preventing the spread of these diseases requires careful modeling and analysis. The book describes current methods for formulating models and analyzing the dynamics of the propagation of diseases which include vertical transmission as one of the mechanisms for their spread. Generic models that describe broad classes of diseases as well as models that are tailored to the dynamics of a specific infection are formulated and analyzed. The effects of incubation periods, maturation delays, and age-structure, interactions between disease transmission and demographic changes, population crowding, spatial spread, chaotic dynamic behavior, seasonal periodicities and discrete time interval events are studied within the context of specific disease transmission models. No previous background in disease transmission modeling and analysis is assumedand the required biological concepts and mathematical methods are gradually introduced within the context of specific disease transmission models. Graphs are widely used to illustrate and explain the modeling assumptions and results. REMARKS: NOTE: the authors have supplied variants on the promotion text that are more suitable for promotionin different fields (by virtue of different emphasis in the content). They are not enclosed, but in the mathematics editorial.
Book Synopsis Mathematical Understanding of Infectious Disease Dynamics by : Stefan Ma
Download or read book Mathematical Understanding of Infectious Disease Dynamics written by Stefan Ma and published by World Scientific. This book was released on 2009 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on Mathematical Modeling of Infectious Diseases: Dynamics and Control from 15 August to 9 October 2005. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.
