عنوان

Analysis and Control of Age-Dependent Population Dynamics

شابک

9789048155903

شابک

9789401594363

شماره

b408425

عنوان اصلي

Analysis and Control of Age-Dependent Population Dynamics

نام عام مواد

[Book]

نام نخستين پديدآور

by Sebastian Aniţa.

محل نشرو پخش و غیره

Dordrecht :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

2000.

عنوان فروست

Mathematical Modelling: Theory and Applications,

مشخصه جلد

11

شاپا ي ISSN فروست

1386-2960 ;

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9789048155903

عنوان

Springer eBooks

موضوع مستند نشده

Differential equations, Partial.

موضوع مستند نشده

Integral equations.

موضوع مستند نشده

Mathematical optimization.

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Aniţa, Sebastian.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301073900.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y