Analysis and Control of Age-Dependent Population Dynamics

Analysis and Control of Age-Dependent Population Dynamics
Author :
Publisher : Springer Science & Business Media
Total Pages : 220
Release :
ISBN-10 : 0792366395
ISBN-13 : 9780792366393
Rating : 4/5 (393 Downloads)

Book Synopsis Analysis and Control of Age-Dependent Population Dynamics by : S. Anita

Download or read book Analysis and Control of Age-Dependent Population Dynamics written by S. Anita and published by Springer Science & Business Media. This book was released on 2000-10-31 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to some of the most biologically significant control problems governed by continuous age-dependent population dynamics. It investigates the existence, uniqueness, positivity, and asymptotic behaviour of the solutions of the continuous age-structured models. Some comparison results are also established. In the optimal control problems the emphasis is on first order necessary conditions of optimality. These conditions allow the determination of the optimal control or the approximation of the optimal control problem. The exact controllability for some models with diffusion and internal control is also studied. These subjects are treated using new concepts and techniques of modern optimal control theory, such as Clarke's generalized gradient, Ekeland's variational principle, Hamilton-Jacobi equations, and Carleman estimates. A background in advanced calculus and partial differential equations is required. Audience: This work will be of interest to students in mathematics, biology, and engineering, and researchers in applied mathematics, control theory, and biology.


Analysis and Control of Age-Dependent Population Dynamics Related Books

Analysis and Control of Age-Dependent Population Dynamics
Language: en
Pages: 220
Authors: S. Anita
Categories: Mathematics
Type: BOOK - Published: 2000-10-31 - Publisher: Springer Science & Business Media

GET EBOOK

This volume is devoted to some of the most biologically significant control problems governed by continuous age-dependent population dynamics. It investigates t
Current Trends in Analysis, its Applications and Computation
Language: en
Pages: 663
Authors: Paula Cerejeiras
Categories: Mathematics
Type: BOOK - Published: 2022-10-03 - Publisher: Springer Nature

GET EBOOK

This volume contains the contributions of the participants of the 12th ISAAC congress which was held at the University of Aveiro, Portugal, from July 29 to Augu
Age-Structured Population Dynamics in Demography and Epidemiology
Language: en
Pages: 566
Authors: Hisashi Inaba
Categories: Social Science
Type: BOOK - Published: 2017-03-15 - Publisher: Springer

GET EBOOK

This book is the first one in which basic demographic models are rigorously formulated by using modern age-structured population dynamics, extended to study rea
Future Control and Automation
Language: en
Pages: 542
Authors: Wei Deng
Categories: Technology & Engineering
Type: BOOK - Published: 2012-07-11 - Publisher: Springer Science & Business Media

GET EBOOK

This volume Future Control and Automation- Volume 2 includes best papers from 2012 2nd International Conference on Future Control and Automation (ICFCA 2012) he
Mathematics in Population Biology
Language: en
Pages: 564
Authors: Horst R. Thieme
Categories: Science
Type: BOOK - Published: 2018-06-05 - Publisher: Princeton University Press

GET EBOOK

The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologis