Cover of: Analysis and Control of Age-Dependent Population Dynamics | Sebastian AniЕЈa

Analysis and Control of Age-Dependent Population Dynamics

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Springer Netherlands , Dordrecht
Mathematics, Differential equations, partial, Integral equations, Mathematical optimiz
About the Edition

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.

Statementby Sebastian Aniţa
SeriesMathematical Modelling: Theory and Applications -- 11, Mathematical Modelling: Theory and Applications -- 11
Classifications
LC ClassificationsQA315-316, QA402.3, QA402.5-QA402.6
The Physical Object
Format[electronic resource] /
Pagination1 online resource (ix, 201 p.)
ID Numbers
Open LibraryOL27016614M
ISBN 109048155908, 9401594368
ISBN 139789048155903, 9789401594363
OCLC/WorldCa851373359

This is the first book devoted to the control of continuous age structured focuses on the basic properties ofthe solutions and on the control of age structured population dynamics with or without diffusion.

Analysis and Control of Age-Dependent Population Dynamics (Mathematical Modelling: Theory and Applications Book 11) - Kindle edition by Anita, S. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Analysis and Control of Age-Dependent Population Dynamics (Mathematical Modelling: Theory and Manufacturer: Springer Netherlands.

Buy Analysis and Control of Age-Dependent Population Dynamics (Mathematical Modelling: Theory and Applications Volume 11) on FREE SHIPPING on qualified ordersFormat: Hardcover. 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 : $ 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 Analysis and Control of Age-Dependent Population Dynamics book in demography, nowadays it is fundamental in epidemiology and ecology too.

Another important study worth to mention is that a book of analysis and control of age-dependent population dynamics was written by Aniţa [13] in This book is the first book devoted to the control of continuous age structured population dynamics and it.

Abstract. This chapter is devoted to the basic properties of the models of age-dependent population dynamics without diffusion. The main focus is on the existence, uniqueness and positivity of solutions of the linear model and of the nonlinear by: 3.

On a Population Dynamics Control Problem with Age Dependence and Spatial Structure Article in Journal of Mathematical Analysis and Applications (2) August with 83 Reads. Non-linear Age-dependent Population Dynamics On the other hand, the substitutions (a0, to)=(0, t-a) and h=a in () lead to the conclusion that.

a -J).(~, P(t-a+at)) dot. p(a, t)=B(t-a)e for t>a, () where B(t)=p(O, t) () is the birth-rate. Get this from a library. Analysis and control of age-dependent population dynamics. [Sebastian Aniţa] -- "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. Population dynamics presentation 1. PopulationDynamics 2. Population Dispersionthe pattern of distribution in which a population exists seasonal and annual aphy is the study of these changes.

Ecologistsuse demographic analysis to predict the growth of apopulationBirth rate, death rate, immigration and emigration can beused. to analyze. One standard method to simplify the analysis is to consider the evolution of the total number of healthy and infected individuals rather than the state of each individual separately.

This is commonly referred to as population dynamics [29], [30]. Furthermore, the recovery and. Langlais time behavior in a nonlinear age-dependent population dynamics problem with spatial diffusion J. Math. Biol., 26 (), pp. Google ScholarAuthor: Lin Lin Li, Cláudia Pio Ferreira, Bedreddine Ainseba.

This is the first book devoted to the control of continuous age structured focuses on the basic properties ofthe solutions and on the control of age structured population dynamics with or without diffusion.

approaches and results in the mathematical theory of age-dependent models. Theory and Applications: Analysis. A discrete age-structured Bernardelli, Lewis and Leslie (BLL) population model for a single species is formulated under age dependent harvesting condition.

Here, after an initial period during which the growth of the species is not much, harvesting is by: 5. Population Dynamics. A population is a group of individuals (all members of a single species) who live together in the same habitat and are likely to interbreed.

Each population has a unique physical distribution in time and space.

Description Analysis and Control of Age-Dependent Population Dynamics EPUB

It may contain individuals of different ages and its size (density) is likely to change over time, growing or shrinking according to the reproductive success of its.

() Population dynamics with age-dependent diffusion and death rates. European Journal of Applied MathematicsWendi Wang and Xiao-Qiang by: SIAM Journal on Applied Mathematics > Vol Issue 3 > () An optimal birth control problem for a dynamical population model with size-structure.

Nonlinear Analysis: () Age-dependent population dynamics with several interior variables and spatial by: BibTeX @MISC{Chan90jouknalof, author = {W. Chan and B.

Guo and Suhmiited Kenneth and I. Cooke}, title = {JOUKNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS() Controlled Age- Dependent Population Dynamics Based on Parity Progression}, year = {}}. Numerical approximation is a vital method to investigate the properties of stochastic age-dependent population systems, since most stochastic age-dependent population systems cannot be solved explicitly.

In this paper, a Taylor approximation scheme for a class of age-dependent stochastic delay population equations with mean-reverting Ornstein-Uhlenbeck (OU) process and Poisson jumps is Author: Wenrui Li, Qimin Zhang, Meyer-Baese Anke, Ming Ye, Yan Li.

No data. Population dynamics is the branch of life sciences that studies the size and age composition of populations as dynamical systems, and the biological and environmental processes driving them (such as birth and death rates, and by immigration and emigration).

Transmission Dynamics of the Human Immunodeflciency Virus (HIV), the Causative Agent of AIDS 3 * Schenzle,D.()Anage-structuredmodelofpre-andpost-vaccinationmeaslestransmission. We investigate two optimal harvesting problems related to age-dependent population dynamics; namely we consider two problems of maximizing the profit for age-structured population dynamics with respect to a size-dependent harvesting effort.

We evaluate the directional derivatives for the cost functionals. The structure of the harvesting effort is uniquely determined by its intensity (magnitude Author: Sebastian Aniţa, Ana-Maria Moşsneagu.

6 G. Webb, Theory of nonlinear age-dependent population dynamics, vol. 89 of Monographs and Text- books in Pure and Applied Mathematics, Marcel Dekker, Inc., New York, E.

Zuazua (DeustoTech & UAM) Population dynamics control UPR, December 21 / 48File Size: 9MB. Preface. Notations. Introduction. Analysis of Age-Dependent Population Dynamics. Optimal Control of Population Dynamics.

Analysis of Population Dynamics with Diffusion. Control of Population Dynamics with Diffusion.

Details Analysis and Control of Age-Dependent Population Dynamics FB2

Appendix 1: Elements of Nonlinear Analysis. Appendix 2: The Linear Heat Equation. References. Index. Find many great new & used options and get the best deals for Mathematical Modelling Theory and Applications: Analysis and Control of Age-Dependent Population Dynamics 11 by S.

Anita (, Paperback) at the best online prices at eBay. Free shipping for many products. Heterogeneous population dynamics of active particles: Progression, mutations, and selection dynamics Numerical modelling of the competition between the adaptive immune system and virus, Control Cybern.

40 () Theory of Nonlinear Age-Dependent Population Dynamics (Marcel Dekker, ). Google Scholar; Published: 15 March Cited by: We then explain many resulting facets of the Fundamental Theorem of Demography, because the stable population model is a central tenet in the development of modern demography.

Indeed, its revision using functional analysis was the prelude to new, more general developments for structured population dynamics from the end of the s. Feedback control systems analysis of density dependent population dynamics.

Virus–virus interactions impact the population dynamics of influenza and the common cold Sema Nickbakhsha, Colette Maira,b, Louise Matthewsc,1, Richard Reevec, Paul C. Johnsonc, Fiona Thorburnd, Beatrix von Wissmanne, Arlene Reynolds f, James McMenamin, Rory N.

Gunsong, and Pablo R. Murciaa,1 aMRC-University of Glasgow Centre for Virus Research, Institute of Infection, Cited by: 4.

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Discrete age-structured population model with age dependent harvesting and its stability analysis Discrete age-structured population model with age dependent harvesting and its stability analysis Sadhukhan, D.; Mondal, B.; Maiti, M.

A discrete age-structured Bernardelli, Lewis and Leslie (BLL) population model for a single species is formulated under age .Reprinted from Vkislas on Nemtology Concepts and Principles of Population Dynamics H.

FERRIS AND L. T. WILSON Professor, Division of Nematology, University of California, Davis, CA Associate Professor, Department of Entomology, University of California, Davis, CA A population is a collection of individu- als of a single species of organisms spatiallyFile Size: 91KB.UNDERSTANDING ERITREA: A REVIEW ARTICLE ON The dynamics of an Unfinished African Revolution.

Eritrea Ancient History tovolume 1, Bloomington, IN: Lulu publishing, pages list of references and index. By Mohamed Kheir Omer. By Tekeste Negash Emeritus professor Ma The Dynamics of an unfinished African revolution is a very ambitious book.