The Basic Approach to Age-Structured Population Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Basic Approach to Age-Structured Population Dynamics write by Mimmo Iannelli. This book was released on 2017-08-27. The Basic Approach to Age-Structured Population Dynamics available in PDF, EPUB and Kindle. 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.
Age-Structured Population Dynamics in Demography and Epidemiology
Age-Structured Population Dynamics in Demography and Epidemiology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Age-Structured Population Dynamics in Demography and Epidemiology write by Hisashi Inaba. This book was released on 2017-03-15. Age-Structured Population Dynamics in Demography and Epidemiology available in PDF, EPUB and Kindle. 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.
Functional Analytic Approach to Age-structured Population Dynamics
Functional Analytic Approach to Age-structured Population Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Functional Analytic Approach to Age-structured Population Dynamics write by Hisashi Inaba. This book was released on 1989. Functional Analytic Approach to Age-structured Population Dynamics available in PDF, EPUB and Kindle.
Mathematical Theory of Age-structured Population Dynamics
Mathematical Theory of Age-structured Population Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Theory of Age-structured Population Dynamics write by Mimmo Iannelli. This book was released on 1995. Mathematical Theory of Age-structured Population Dynamics available in PDF, EPUB and Kindle.
Analysis and Control of Age-Dependent Population Dynamics
Analysis and Control of Age-Dependent Population Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis and Control of Age-Dependent Population Dynamics write by S. Anita. This book was released on 2013-04-17. Analysis and Control of Age-Dependent Population Dynamics available in PDF, EPUB and Kindle. The material of the present book is an extension of a graduate course given by the author at the University "Al.I. Cuza" Iasi and is intended for stu dents and researchers interested in the applications of optimal control and in mathematical biology. Age is one of the most important parameters in the evolution of a bi ological population. Even if for a very long period age structure has been considered only in demography, nowadays it is fundamental in epidemiology and ecology too. This is the first book devoted to the control of continuous age structured populationdynamics.It focuses on the basic properties ofthe solutions and on the control of age structured population dynamics with or without diffusion. The main goal of this work is to familiarize the reader with the most important problems, approaches and results in the mathematical theory of age-dependent models. Special attention is given to optimal harvesting and to exact controllability problems, which are very important from the econom ical or ecological points of view. We use some new concepts and techniques in modern control theory such as Clarke's generalized gradient, Ekeland's variational principle, and Carleman estimates. The methods and techniques we use can be applied to other control problems.
