عنوان

Analysis and Control of Age-Dependent Population Dynamics

(Number (ISBN

9789048155903

(Number (ISBN

9789401594363

Number

b408425

Title Proper

Analysis and Control of Age-Dependent Population Dynamics

General Material Designation

[Book]

First Statement of Responsibility

by Sebastian Aniţa.

Place of Publication, Distribution, etc.

Dordrecht :

Name of Publisher, Distributor, etc.

Imprint: Springer,

Date of Publication, Distribution, etc.

2000.

Series Title

Mathematical Modelling: Theory and Applications,

Volume Designation

11

ISSN of Series

1386-2960 ;

Text of Note

1 Introduction -- 2 Analysis of Age-Dependent Population Dynamics -- 3 Optimal Control of Population Dynamics -- 4 Analysis of Population Dynamics with Diffusion -- 5 Control of Population Dynamics with Diffusion -- Appendix 1: Elements of Nonlinear Analysis -- A1.1 Convex functions and subdifferentials -- A1.2 Generalized gradients of locally Lipschitz functions -- A1.3 The Ekeland variational principle -- Appendix 2: The Linear Heat Equation -- References.

0

Text of Note

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.

International Standard Book Number

9789048155903

Title

Springer eBooks

Differential equations, Partial.

Integral equations.

Mathematical optimization.

Mathematics.

Aniţa, Sebastian.

SpringerLink (Online service)

Date of Transaction

20190301073900.0

Electronic name

[Book]

Y