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Author : Glenn F. Webb
Release : 1985-01-05
Genre : Mathematics
Kind : eBook
Book Rating : 901/5 ( reviews)
Book Synopsis Theory of Nonlinear Age-Dependent Population Dynamics by : Glenn F. Webb
Download or read book Theory of Nonlinear Age-Dependent Population Dynamics written by Glenn F. Webb. This book was released on 1985-01-05. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Glenn F. Webb
Release : 1985
Genre : Population
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Theory of Nonlinear Age-dependent Population Dynamics Age-dependent Population Dynamics by : Glenn F. Webb
Download or read book Theory of Nonlinear Age-dependent Population Dynamics Age-dependent Population Dynamics written by Glenn F. Webb. This book was released on 1985. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. Anita
Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 368/5 ( reviews)
Book Synopsis Analysis and Control of Age-Dependent Population Dynamics by : S. Anita
Download or read book Analysis and Control of Age-Dependent Population Dynamics written by S. Anita. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Mimmo Iannelli
Release : 2017-08-27
Genre : Mathematics
Kind : eBook
Book Rating : 461/5 ( reviews)
Book Synopsis The Basic Approach to Age-Structured Population Dynamics by : Mimmo Iannelli
Download or read book The Basic Approach to Age-Structured Population Dynamics written by Mimmo Iannelli. This book was released on 2017-08-27. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Frank Hoppensteadt
Release : 1975-12-01
Genre : Social Science
Kind : eBook
Book Rating : 170/5 ( reviews)
Book Synopsis Mathematical Theories of Populations by : Frank Hoppensteadt
Download or read book Mathematical Theories of Populations written by Frank Hoppensteadt. This book was released on 1975-12-01. Available in PDF, EPUB and Kindle. Book excerpt: A basic model in population age structure is studied and then applied and extended to several population phenomena.
