
Analysis and Control of Age-Dependent Population Dynamics
S. Anita(Author)
Kluwer Academic Publishers
Published on 31. October 2000
Book
Hardback
IX, 201 pages
978-0-7923-6639-3 (ISBN)
Description
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.
More details
Series
Edition
2000 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
IX, 201 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 17 mm
Weight
494 gr
ISBN-13
978-0-7923-6639-3 (9780792366393)
DOI
10.1007/978-94-015-9436-3
Schweitzer Classification
Other editions
Additional editions

Book
12/2010
Springer
€106.99
Shipment within 15-20 days
Content
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.