Mathematical Modelling: Theory and Applications

Analysis and Control of Age-Dependent Population Dynamics

Authors: Anita, S.

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eBook $139.00
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About this book

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.

Table of contents (5 chapters)

  • Introduction

    Aniţa, Sebastian

    Pages 1-14

  • Analysis of Age-Dependent Population Dynamics

    Aniţa, Sebastian

    Pages 15-64

  • Optimal Control of Population Dynamics

    Aniţa, Sebastian

    Pages 65-108

  • Analysis of Population Dynamics with Diffusion

    Aniţa, Sebastian

    Pages 109-136

  • Control of Population Dynamics with Diffusion

    Aniţa, Sebastian

    Pages 137-170

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-94-015-9436-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-7923-6639-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-90-481-5590-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Analysis and Control of Age-Dependent Population Dynamics
Authors
Series Title
Mathematical Modelling: Theory and Applications
Series Volume
11
Copyright
2000
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-015-9436-3
DOI
10.1007/978-94-015-9436-3
Hardcover ISBN
978-0-7923-6639-3
Softcover ISBN
978-90-481-5590-3
Series ISSN
1386-2960
Edition Number
1
Number of Pages
IX, 201
Topics