Threshold And Stability For Age Structured Epidemic Model
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Threshold And Stability For Age Structured Epidemic Model
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Author : Hisashi Inaba
language : en
Publisher:
Release Date : 1989
Threshold And Stability For Age Structured Epidemic Model written by Hisashi Inaba and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Age factors in disease categories.
Threshold And Stability For An Age Structured Epidemic Model
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Author : Hisashi Inaba
language : nl
Publisher:
Release Date : 1989
Threshold And Stability For An Age Structured Epidemic Model written by Hisashi Inaba and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Age Structured Epidemic Modeling
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Author : Xue-Zhi Li
language : en
Publisher: Springer Nature
Release Date : 2020-05-28
Age Structured Epidemic Modeling written by Xue-Zhi Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-28 with Mathematics categories.
This book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides the tools for the analysis of this type of partial differential equation models. This book presents general theoretical tools as well as large number of specific examples to guide the reader to develop their own tools that they may then apply to study structured models in mathematical epidemiology. The book will be a valuable addition to the arsenal of all researchers interested in developing theory or studying specific models with age structure.
Age Structured Population Dynamics In Demography And Epidemiology
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Author : Hisashi Inaba
language : en
Publisher: Springer
Release Date : 2017-03-15
Age Structured Population Dynamics In Demography And Epidemiology written by Hisashi Inaba and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-15 with Social Science categories.
This book is the first one in which basic demographic models are rigorously formulated by using modern age-structured population dynamics, extended to study real-world population problems. Age structure is a crucial factor in understanding population phenomena, and the essential ideas in demography and epidemiology cannot be understood without mathematical formulation; therefore, this book gives readers a robust mathematical introduction to human population studies. In the first part of the volume, classical demographic models such as the stable population model and its linear extensions, density-dependent nonlinear models, and pair-formation models are formulated by the McKendrick partial differential equation and are analyzed from a dynamical system point of view. In the second part, mathematical models for infectious diseases spreading at the population level are examined by using nonlinear differential equations and a renewal equation. Since an epidemic can be seen as a nonlinear renewal process of an infected population, this book will provide a natural unification point of view for demography and epidemiology. The well-known epidemic threshold principle is formulated by the basic reproduction number, which is also a most important key index in demography. The author develops a universal theory of the basic reproduction number in heterogeneous environments. By introducing the host age structure, epidemic models are developed into more realistic demographic formulations, which are essentially needed to attack urgent epidemiological control problems in the real world.
The Basic Approach To Age Structured Population Dynamics
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Author : Mimmo Iannelli
language : en
Publisher: Springer
Release Date : 2017-08-27
The Basic Approach To Age Structured Population Dynamics written by Mimmo Iannelli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-27 with Mathematics categories.
This book provides an introduction to age-structured population modeling which emphasizes the connection between mathematical theory and underlying biological assumptions. Through the rigorous development of the linear theory and the nonlinear theory alongside numerics, the authors explore classical equations that describe the dynamics of certain ecological systems. Modeling aspects are discussed to show how relevant problems in the fields of demography, ecology and epidemiology can be formulated and treated within the theory. In particular, the book presents extensions of age-structured modeling to the spread of diseases and epidemics while also addressing the issue of regularity of solutions, the asymptotic behavior of solutions, and numerical approximation. With sections on transmission models, non-autonomous models and global dynamics, this book fills a gap in the literature on theoretical population dynamics. The Basic Approach to Age-Structured Population Dynamics will appeal to graduate students and researchers in mathematical biology, epidemiology and demography who are interested in the systematic presentation of relevant models and mathematical methods.
Size Structured Epidemic Models
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Author : Griselle Torres García
language : en
Publisher:
Release Date : 2012
Size Structured Epidemic Models written by Griselle Torres García and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Epidemics categories.
There have been many studies on the dynamics of infectious diseases considering the age structure of the population. This study analyzes the dynamics when the population is stratified by size. This kind of models are useful in the spread of a disease in fisheries where size matters, for microorganism populations or even human diseases that are driven by weight. A simple size structured SIR model is introduced for which a threshold condition, R0, equilibria and stability are established in special cases. Hethcote's approach is used to derive, from first principles, a parallel ODE size-structure system involving n-size classes. The specific case of n = 2 is partially analyzed. Constant effort harvesting is added to this model with the purpose of exploring the role of controls and harvesting. Different harvesting policies are proposed and analyzed through simulations.
Optimal Control Of Age Structured Populations In Economy Demography And The Environment
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Author : Raouf Boucekkine
language : en
Publisher: Routledge
Release Date : 2013-05-13
Optimal Control Of Age Structured Populations In Economy Demography And The Environment written by Raouf Boucekkine and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-13 with Business & Economics categories.
This book covers a wide range of topics within mathematical modelling and the optimization of economic, demographic, technological and environmental phenomena. Each chapter is written by experts in their field and represents new advances in modelling theory and practice. These essays are exemplary of the fruitful interaction between theory and practice when exploring global and local changes. The unifying theme of the book is the use of mathematical models and optimization methods to describe age-structured populations in economy, demography, technological change, and the environment. Emphasis is placed on deterministic dynamic models that take age or size structures, delay effects, and non-standard decision variables into account. In addition, the contributions deal with the age structure of assets, resources, and populations under study. Interdisciplinary modelling has enormous potential for discovering new insights in global and regional development. Optimal Control of Age-structured Populations in Economy, Demography, and the Environment is a rich and excellent source of information on state-of-the-art modelling expertise and references. The book provides the necessary mathematical background for readers from different areas, such as applied sciences, management sciences and operations research, which helps guide the development of practical models. As well as this the book also surveys the current practice in applied modelling and looks at new research areas for a general mathematical audience. This book will be of interest primarily to researchers, postgraduate students, as well as a wider scientific community, including those focussing on the subjects of applied mathematics, environmental sciences, economics, demography, management, and operations research.
Dynamical Modeling And Analysis Of Epidemics
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Author : Zhien Ma
language : en
Publisher: World Scientific
Release Date : 2009
Dynamical Modeling And Analysis Of Epidemics written by Zhien Ma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
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.
Epidemic Models
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Author : Denis Mollison
language : en
Publisher: Cambridge University Press
Release Date : 1995-07-13
Epidemic Models written by Denis Mollison and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-13 with Mathematics categories.
Surveys the state of epidemic modelling, resulting from the NATO Advanced Workshop at the Newton Institute in 1993.
Dynamical Models Of Epidemics In Age Structured Populations
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Author : Viggo Anker Andreasen
language : en
Publisher:
Release Date : 1988
Dynamical Models Of Epidemics In Age Structured Populations written by Viggo Anker Andreasen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Epidemics categories.