Theory of Nonlinear Age-Dependent Population Dynamics

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Release : 1985-01-05
Genre : Mathematics
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Book Rating : 901/5 ( reviews)

Theory of Nonlinear 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 Theory of Nonlinear Age-Dependent Population Dynamics write by Glenn F. Webb. This book was released on 1985-01-05. Theory of Nonlinear Age-Dependent Population Dynamics available in PDF, EPUB and Kindle.

Theory of Nonlinear Age-dependent Population Dynamics Age-dependent Population Dynamics

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Release : 1985
Genre : Population
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Book Rating : /5 ( reviews)

Theory of Nonlinear Age-dependent Population Dynamics 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 Theory of Nonlinear Age-dependent Population Dynamics Age-dependent Population Dynamics write by Glenn F. Webb. This book was released on 1985. Theory of Nonlinear Age-dependent Population Dynamics Age-dependent Population Dynamics available in PDF, EPUB and Kindle.

The Basic Approach to Age-Structured Population Dynamics

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Release : 2017-08-27
Genre : Mathematics
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Book Rating : 461/5 ( reviews)

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.

Analysis and Control of Age-Dependent Population Dynamics

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Release : 2013-04-17
Genre : Mathematics
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Book Rating : 368/5 ( reviews)

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.

Optimal Control of Partial Differential Equations II: Theory and Applications

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Release : 2013-03-14
Genre : Science
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Book Rating : 270/5 ( reviews)

Optimal Control of Partial Differential Equations II: Theory and Applications - 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 Optimal Control of Partial Differential Equations II: Theory and Applications write by K.-H. Hoffmann. This book was released on 2013-03-14. Optimal Control of Partial Differential Equations II: Theory and Applications available in PDF, EPUB and Kindle. This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" which, under the chairmanship of the editors, took place at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986. The great variety of topics covered by the contributions strongly indicates that also in the future it will be impossible to develop a unifying control theory of partial differential equations. On the other hand, there is a strong tendency to treat prob lems which are directly connected to practical applications. So this volume contains real-world applications like optimal cooling laws for the production of rolled steel or concrete solutions for the problem of optimal shape design in mechanics and hydrody namics. Another main topic is the construction of numerical methods. This includes applications of the finite element method as well as of Quasi-Newton-methods to con strained and unconstrained control problems. Also, very complex problems arising in the theory of free boundary value problems are treated. ]~inally, some contribu tions show how practical problems stimulate the further development of the theory; in particular, this is the case for fields like suboptimal control, necessary optimality conditions and sensitivity analysis. As usual, the lectures and stimulating discussions took place in the pleasant at mosphere of the Mathematisches Forschungsinstitut Oberwolfach. Special thanks of the participants are returned to the Director as well as to the staff of the institute.