Analysis and Control of Age-Dependent Population Dynamics

  • Sebastian Aniţa

Part of the Mathematical Modelling: Theory and Applications book series (MMTA, volume 11)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Sebastian Aniţa
    Pages 1-14
  3. Sebastian Aniţa
    Pages 15-64
  4. Sebastian Aniţa
    Pages 65-108
  5. Sebastian Aniţa
    Pages 109-136
  6. Sebastian Aniţa
    Pages 137-170
  7. Back Matter
    Pages 171-201

About this book

Introduction

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.

Keywords

Optimal control Termination behavior biology calculus differential equation dynamics mathematics partial differential equation population population dynamics

Authors and affiliations

  • Sebastian Aniţa
    • 1
    • 2
  1. 1.Faculty of MathematicsUniversity ‘Al. I. Cuza’ IaşiRomania
  2. 2.Institute of MathematicsRomanian AcademyIaşiRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-9436-3
  • Copyright Information Springer Science+Business Media B.V. 2000
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5590-3
  • Online ISBN 978-94-015-9436-3
  • Series Print ISSN 1386-2960
  • About this book
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