Trends In Biomathematics Exploring Epidemics Eco Epidemiological Systems And Optimal Control Strategies

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Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies

Author : Rubem P. Mondaini
Publisher : Springer
ISBN 13 : 9783031590719
Total Pages : 0 pages
Book Rating : 4.5/5 (97 download)

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Book Synopsis Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies by : Rubem P. Mondaini

Download or read book Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies written by Rubem P. Mondaini and published by Springer. This book was released on 2024-07-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume convenes carefully selected, peer-reviewed papers presented at the BIOMAT 2023 International Symposium, which was virtually held on November 6-9, 2023, with an organization staff based in Rio de Janeiro, Brazil. In this volume, the reader will find studies on the epidemic model of the COVID-19 pandemic, aspects of risk-based testing and quarantine, as well as joint efforts in the search for the perfect vaccine. Additionally, the volume covers the influence of fear and the saturated fear cost in predator-prey dynamics, optimal control techniques applied to HPV infection and cervical cancer cells, generic epidemic models for disease propagation, discretized SIS model with no vertical transmission, dynamics of vibrio-phage interactions, and antibiotics treatment for septic arthritis. Comprehensive Reviews are also included on the applications of CHIRP ultrasound for the mathematical modeling of evaporation of nanodroplets and on Alternative Entropy Measures and their application in the studies of distributions of discrete probabilities of occurrence. These works aim to motivate Ph.D. students and new practitioners in the field of Biomathematics. Held every year since 2001, the BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to foster the interdisciplinary exchange of results, ideas, and techniques, promoting truly international cooperation for problem discussion. BIOMAT volumes published from 2017 to 2022 are also available by Springer.

Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells

Author : Rubem P. Mondaini
Publisher : Springer Nature
ISBN 13 : 303073241X
Total Pages : 395 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells by : Rubem P. Mondaini

Download or read book Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells written by Rubem P. Mondaini and published by Springer Nature. This book was released on 2021-07-27 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers together selected, peer-reviewed papers presented at the BIOMAT 2020 International Symposium, which was virtually held on November 1-6, 2020, with an organization staff based in Rio de Janeiro, Brazil. Topics covered in this volume include infection modeling, with an emphasis on different aspects of the COVID-19 and novel Coronavirus spread; a description of the effectiveness of quarantine measures via dynamic analysis of SLIR model; hemodynamic simulations in time-dependent domains; an optimal control model for the Ebola disease; and the co-existence of chaos and control in the context of biological models. Texts in agroforestry, economic development, and wastewater treatment processes complete this volume. Held every year since 2001, the BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to promote the interdisciplinary exchange of results, ideas and techniques, promoting truly international cooperation for problem discussion. The 20th edition of the BIOMAT International Symposium has received contributions by authors from 18 countries: Algeria, Brazil, Cameroon, Canada, Chile, China (Hong Kong), Colombia, Germany, Hungary, India, Italy, Morocco, Nigeria, Russia, Senegal, South Africa, USA, and Uzbekistan. Previous BIOMAT volumes with selected works from 2017, 2018, and 2019 were also published by Springer.

Mathematical Analysis of Infectious Diseases

Author : Praveen Agarwal
Publisher : Elsevier
ISBN 13 : 0323905048
Total Pages : 344 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Mathematical Analysis of Infectious Diseases by : Praveen Agarwal

Download or read book Mathematical Analysis of Infectious Diseases written by Praveen Agarwal and published by Elsevier. This book was released on 2022-06-08 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Analysis of Infectious Diseases updates on the mathematical and epidemiological analysis of infectious diseases. Epidemic mathematical modeling and analysis is important, not only to understand disease progression, but also to provide predictions about the evolution of disease. One of the main focuses of the book is the transmission dynamics of the infectious diseases like COVID-19 and the intervention strategies. It also discusses optimal control strategies like vaccination and plasma transfusion and their potential effectiveness on infections using compartmental and mathematical models in epidemiology like SI, SIR, SICA, and SEIR. The book also covers topics like: biodynamic hypothesis and its application for the mathematical modeling of biological growth and the analysis of infectious diseases, mathematical modeling and analysis of diagnosis rate effects and prediction of viruses, data-driven graphical analysis of epidemic trends, dynamic simulation and scenario analysis of the spread of diseases, and the systematic review of the mathematical modeling of infectious disease like coronaviruses. Offers analytical and numerical techniques for virus models Discusses mathematical modeling and its applications in treating infectious diseases or analyzing their spreading rates Covers the application of differential equations for analyzing disease problems Examines probability distribution and bio-mathematical applications

Optimal Control Applied to Biological Models

Author : Suzanne Lenhart
Publisher : CRC Press
ISBN 13 : 1420011413
Total Pages : 272 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Optimal Control Applied to Biological Models by : Suzanne Lenhart

Download or read book Optimal Control Applied to Biological Models written by Suzanne Lenhart and published by CRC Press. This book was released on 2007-05-07 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into t

An Introduction to Mathematical Epidemiology

Author : Maia Martcheva
Publisher : Springer
ISBN 13 : 1489976124
Total Pages : 453 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis An Introduction to Mathematical Epidemiology by : Maia Martcheva

Download or read book An Introduction to Mathematical Epidemiology written by Maia Martcheva and published by Springer. This book was released on 2015-10-20 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of infectious diseases. It includes model building, fitting to data, local and global analysis techniques. Various types of deterministic dynamical models are considered: ordinary differential equation models, delay-differential equation models, difference equation models, age-structured PDE models and diffusion models. It includes various techniques for the computation of the basic reproduction number as well as approaches to the epidemiological interpretation of the reproduction number. MATLAB code is included to facilitate the data fitting and the simulation with age-structured models.

Control Theory from the Geometric Viewpoint

Author : Andrei A. Agrachev
Publisher : Springer Science & Business Media
ISBN 13 : 3662064049
Total Pages : 415 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Control Theory from the Geometric Viewpoint by : Andrei A. Agrachev

Download or read book Control Theory from the Geometric Viewpoint written by Andrei A. Agrachev and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional Analysis. No preliminary knowledge of Control Theory or Differential Geometry is required. What this book is about? The classical deterministic physical world is described by smooth dynamical systems: the future in such a system is com pletely determined by the initial conditions. Moreover, the near future changes smoothly with the initial data. If we leave room for "free will" in this fatalistic world, then we come to control systems. We do so by allowing certain param eters of the dynamical system to change freely at every instant of time. That is what we routinely do in real life with our body, car, cooker, as well as with aircraft, technological processes etc. We try to control all these dynamical systems! Smooth dynamical systems are governed by differential equations. In this book we deal only with finite dimensional systems: they are governed by ordi nary differential equations on finite dimensional smooth manifolds. A control system for us is thus a family of ordinary differential equations. The family is parametrized by control parameters.

Mathematical Models in Epidemiology

Author : Fred Brauer
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.

Mathematical Epidemiology

Author : Fred Brauer
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).

Mathematics of Epidemics on Networks

Author : István Z. Kiss
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 Modeling in Economics, Ecology and the Environment

Author : N.V. Hritonenko
Publisher : Springer Science & Business Media
ISBN 13 : 1441997334
Total Pages : 225 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Mathematical Modeling in Economics, Ecology and the Environment by : N.V. Hritonenko

Download or read book Mathematical Modeling in Economics, Ecology and the Environment written by N.V. Hritonenko and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific study of environmental and ecological problems is the development of mathematical and computer tools for rational management of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones (Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models ...

Epidemics

Author : Ottar N. Bjørnstad
Publisher : Springer
ISBN 13 : 3319974874
Total Pages : 312 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Epidemics by : Ottar N. Bjørnstad

Download or read book Epidemics written by Ottar N. Bjørnstad and published by Springer. This book was released on 2018-10-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to be a practical study in infectious disease dynamics. The book offers an easy to follow implementation and analysis of mathematical epidemiology. The book focuses on recent case studies in order to explore various conceptual, mathematical, and statistical issues. The dynamics of infectious diseases shows a wide diversity of pattern. Some have locally persistent chains-of-transmission, others persist spatially in ‘consumer-resource metapopulations’. Some infections are prevalent among the young, some among the old and some are age-invariant. Temporally, some diseases have little variation in prevalence, some have predictable seasonal shifts and others exhibit violent epidemics that may be regular or irregular in their timing. Models and ‘models-with-data’ have proved invaluable for understanding and predicting this diversity, and thence help improve intervention and control. Using mathematical models to understand infectious disease dynamics has a very rich history in epidemiology. The field has seen broad expansions of theories as well as a surge in real-life application of mathematics to dynamics and control of infectious disease. The chapters of Epidemics: Models and Data using R have been organized in a reasonably logical way: Chapters 1-10 is a mix and match of models, data and statistics pertaining to local disease dynamics; Chapters 11-13 pertains to spatial and spatiotemporal dynamics; Chapter 14 highlights similarities between the dynamics of infectious disease and parasitoid-host dynamics; Finally, Chapters 15 and 16 overview additional statistical methodology useful in studies of infectious disease dynamics. This book can be used as a guide for working with data, models and ‘models-and-data’ to understand epidemics and infectious disease dynamics in space and time.

Mathematical Modeling and Soft Computing in Epidemiology

Author : Jyoti Mishra
Publisher : CRC Press
ISBN 13 : 1000226948
Total Pages : 441 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Mathematical Modeling and Soft Computing in Epidemiology by : Jyoti Mishra

Download or read book Mathematical Modeling and Soft Computing in Epidemiology written by Jyoti Mishra and published by CRC Press. This book was released on 2020-12-28 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the uses of different mathematical modeling and soft computing techniques used in epidemiology for experiential research in projects such as how infectious diseases progress to show the likely outcome of an epidemic, and to contribute to public health interventions. This book covers mathematical modeling and soft computing techniques used to study the spread of diseases, predict the future course of an outbreak, and evaluate epidemic control strategies. This book explores the applications covering numerical and analytical solutions, presents basic and advanced concepts for beginners and industry professionals, and incorporates the latest methodologies and challenges using mathematical modeling and soft computing techniques in epidemiology. Primary users of this book include researchers, academicians, postgraduate students, and specialists.

Optimal Control of Nonlinear Processes

Author : Dieter Grass
Publisher : Springer Science & Business Media
ISBN 13 : 3540776478
Total Pages : 552 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Optimal Control of Nonlinear Processes by : Dieter Grass

Download or read book Optimal Control of Nonlinear Processes written by Dieter Grass and published by Springer Science & Business Media. This book was released on 2008-07-24 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic optimization is rocket science – and more. This volume teaches researchers and students alike to harness the modern theory of dynamic optimization to solve practical problems. These problems not only cover those in space flight, but also in emerging social applications such as the control of drugs, corruption, and terror. This volume is designed to be a lively introduction to the mathematics and a bridge to these hot topics in the economics of crime for current scholars. The authors celebrate Pontryagin’s Maximum Principle – that crowning intellectual achievement of human understanding. The rich theory explored here is complemented by numerical methods available through a companion web site.

Deterministic and Stochastic Optimal Control

Author : Wendell H. Fleming
Publisher : Springer Science & Business Media
ISBN 13 : 1461263808
Total Pages : 231 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Deterministic and Stochastic Optimal Control by : Wendell H. Fleming

Download or read book Deterministic and Stochastic Optimal Control written by Wendell H. Fleming and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book may be regarded as consisting of two parts. In Chapters I-IV we pre sent what we regard as essential topics in an introduction to deterministic optimal control theory. This material has been used by the authors for one semester graduate-level courses at Brown University and the University of Kentucky. The simplest problem in calculus of variations is taken as the point of departure, in Chapter I. Chapters II, III, and IV deal with necessary conditions for an opti mum, existence and regularity theorems for optimal controls, and the method of dynamic programming. The beginning reader may find it useful first to learn the main results, corollaries, and examples. These tend to be found in the earlier parts of each chapter. We have deliberately postponed some difficult technical proofs to later parts of these chapters. In the second part of the book we give an introduction to stochastic optimal control for Markov diffusion processes. Our treatment follows the dynamic pro gramming method, and depends on the intimate relationship between second order partial differential equations of parabolic type and stochastic differential equations. This relationship is reviewed in Chapter V, which may be read inde pendently of Chapters I-IV. Chapter VI is based to a considerable extent on the authors' work in stochastic control since 1961. It also includes two other topics important for applications, namely, the solution to the stochastic linear regulator and the separation principle.

Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases

Author : Piero Manfredi
Publisher : Springer Science & Business Media
ISBN 13 : 1461454743
Total Pages : 329 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases by : Piero Manfredi

Download or read book Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases written by Piero Manfredi and published by Springer Science & Business Media. This book was released on 2013-01-04 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume summarizes the state-of-the-art in the fast growing research area of modeling the influence of information-driven human behavior on the spread and control of infectious diseases. In particular, it features the two main and inter-related “core” topics: behavioral changes in response to global threats, for example, pandemic influenza, and the pseudo-rational opposition to vaccines. In order to make realistic predictions, modelers need to go beyond classical mathematical epidemiology to take these dynamic effects into account. With contributions from experts in this field, the book fills a void in the literature. It goes beyond classical texts, yet preserves the rationale of many of them by sticking to the underlying biology without compromising on scientific rigor. Epidemiologists, theoretical biologists, biophysicists, applied mathematicians, and PhD students will benefit from this book. However, it is also written for Public Health professionals interested in understanding models, and to advanced undergraduate students, since it only requires a working knowledge of mathematical epidemiology.

Global Public Health

Author : Franklin White
Publisher : Oxford University Press
ISBN 13 : 0199751900
Total Pages : 378 pages
Book Rating : 4.1/5 (997 download)

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Book Synopsis Global Public Health by : Franklin White

Download or read book Global Public Health written by Franklin White and published by Oxford University Press. This book was released on 2013-03-14 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Amid ongoing shifts world economic and political systems, the promise for future public health is more tenuous than ever. Will the today's economic systems sustain tomorrow's health? Will future generations inherit fair access to health and health care? The best hope for the health of future generations is the establishment of a well-grounded, global public health system for today. To that end, Global Public Health: Ecological Foundations addresses both the challenges and cooperative solutions of contemporary public health, all within a framework of social justice, environmental sustainability, and global cooperation. With an emphasis upon ecological foundations, this text approaches public health principles-history, foundations, topics, and applications-with a community-first perspective. By achieving global reach through cooperative, local interventions, this text illustrates that through the practice of public health we can also maintain the health of our world. Blending established wisdom with new perspectives, Global Public Health will stimulate better understanding of how the different streams of public health can work more synergistically to promote global health equity. It is a foundation on which future public health measures can be built and succeed.

Exploring ODEs

Author : Lloyd N. Trefethen
Publisher : SIAM
ISBN 13 : 1611975166
Total Pages : 342 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Exploring ODEs by : Lloyd N. Trefethen

Download or read book Exploring ODEs written by Lloyd N. Trefethen and published by SIAM. This book was released on 2017-12-21 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration.?