Analyse Et Controle De Modeles De Dynamique De Populations

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Analyse et contrôle de modèles de dynamique de populations

Author : Yuan He
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (873 download)

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Book Synopsis Analyse et contrôle de modèles de dynamique de populations by : Yuan He

Download or read book Analyse et contrôle de modèles de dynamique de populations written by Yuan He and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: La présente thèse est divisée en deux parties. La première partie concerne l'analyse mathématique et la contrôlabilité exacte à zéro pour une catégorie de systèmes structurés décrivant la dynamique d'une population d'insectes. La seconde partie est consacrée à l'étude de la stabilité de la conductivité d'un système de réaction diffusion modélisant l'activité électrique du coeur.Dans le chapitre 2, on considère que la population d'adultes se diffuse dans la vignoble,la fonction de la croissance des individus à chaque stade dépend des variations climatiques et de la variété des raisins. En utilisant la méthode de point fixe, on obtient l'existence et l'unicité des solutions du modèle. On démontre ensuite l'existence d'un attracteur global pour le système dynamique. Enfin, on utilise la théorie des opérateurs compacts et le théorème de point fixe de Krasnoselskii pour prouver l'existence des états stationnaires.Dans le chapitre 3, on traite le problème de contrôlabilité exacte du modèle de Lobesia Botrana, lorsque la fonction de croissance est égale à 1. On suppose que les quatre sous-catégories de ce système sont dans une phase statique. On obtient que la population d'oeufs peut être contrôlée à zéro. Ce résultat est basé sur des estimations à priori combinées avec un théorème de point fixe.Lorsque les papillons adultes se dispersent spatialement, on introduit un contrôle sur la population d'oeufs, de larves et de femelles dans une petite région du vignoble. On montre alors la contrôlabilité exacte à zéro pour les femelles.Dans la deuxième partie de cette thèse, on analyse la stabilité des coefficients de diffusion d'un système parabolique qui modélise l'activité électrique du coeur. On établit une estimation de Carleman pour le système de réaction-diffusion. En combinant cette estimation avec des estimations d'énergie avec poids on obtient le résultat de stabilité.

Analysis and Control of Age-Dependent Population Dynamics

Author : S. Anita
Publisher : Springer Science & Business Media
ISBN 13 : 9401594368
Total Pages : 207 pages
Book Rating : 4.4/5 (15 download)

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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 2013-04-17 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analyse Spatiale Et Dynamique Des Populations

Author : Denise Pumain
Publisher : John Libbey Eurotext
ISBN 13 : 9780861963102
Total Pages : 466 pages
Book Rating : 4.9/5 (631 download)

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Book Synopsis Analyse Spatiale Et Dynamique Des Populations by : Denise Pumain

Download or read book Analyse Spatiale Et Dynamique Des Populations written by Denise Pumain and published by John Libbey Eurotext. This book was released on 1991 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability in Model Populations

Author : Laurence D. Mueller
Publisher : Princeton University Press
ISBN 13 : 0691007330
Total Pages : 332 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Stability in Model Populations by : Laurence D. Mueller

Download or read book Stability in Model Populations written by Laurence D. Mueller and published by Princeton University Press. This book was released on 2000-11-12 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviewing the general theory of population stability, this text critically analyzes techniques for inferring whether a given population is in balance or not. It goes on to show how rigorous empirical research can reveal both the proximal causes of stability and its most evolutionary cases.

Dynamic Population Models

Author : Robert Schoen
Publisher : Springer Science & Business Media
ISBN 13 : 1402052308
Total Pages : 254 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Dynamic Population Models by : Robert Schoen

Download or read book Dynamic Population Models written by Robert Schoen and published by Springer Science & Business Media. This book was released on 2007-05-05 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Population Models is the first book to comprehensively discuss and synthesize the emerging field of dynamic modeling. Incorporating the latest research, it includes thorough discussions of population growth and momentum under gradual fertility declines, the impact of changes in the timing of events on fertility measures, and the complex relationship between period and cohort measures. The book is designed to be accessible to those with only a minimal knowledge of calculus.

Introduction to Population Modeling

Author : J. C. Frauenthal
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (49 download)

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Book Synopsis Introduction to Population Modeling by : J. C. Frauenthal

Download or read book Introduction to Population Modeling written by J. C. Frauenthal and published by . This book was released on 1980 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus is on the formulation and solution of mathematical models with the idea of a population employed mainly as a pedogogical tool. If the biological setting is stripped away, the material can be interpreted as topics or the qualitative behavior of differential and difference equations. The first group of models investigate the dynamics of a single species, with particular interest in the consequences of treating time and population size in discrete and continuous terms. The second group study is the interaction of two or more species. A final section on complexity and stability attempts to summarize one of the basic questions in ecology using many of the developed ideas. At the conclusion of each topic, problems are provided to provide practice with mathematical concepts and techniques and an annotated list of references is also given at these points in the material. The document concludes with solutions to problems. (MP)

Structured Population Models in Biology and Epidemiology

Author : Pierre Magal
Publisher : Springer
ISBN 13 : 3540782737
Total Pages : 314 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Structured Population Models in Biology and Epidemiology by : Pierre Magal

Download or read book Structured Population Models in Biology and Epidemiology written by Pierre Magal and published by Springer. This book was released on 2008-04-12 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this new century mankind faces ever more challenging environmental and publichealthproblems,suchaspollution,invasionbyexoticspecies,theem- gence of new diseases or the emergence of diseases into new regions (West Nile virus,SARS,Anthrax,etc.),andtheresurgenceofexistingdiseases(in?uenza, malaria, TB, HIV/AIDS, etc.). Mathematical models have been successfully used to study many biological, epidemiological and medical problems, and nonlinear and complex dynamics have been observed in all of those contexts. Mathematical studies have helped us not only to better understand these problems but also to ?nd solutions in some cases, such as the prediction and control of SARS outbreaks, understanding HIV infection, and the investi- tion of antibiotic-resistant infections in hospitals. Structuredpopulationmodelsdistinguishindividualsfromoneanother- cording to characteristics such as age, size, location, status, and movement, to determine the birth, growth and death rates, interaction with each other and with environment, infectivity, etc. The goal of structured population models is to understand how these characteristics a?ect the dynamics of these models and thus the outcomes and consequences of the biological and epidemiolo- cal processes. There is a very large and growing body of literature on these topics. This book deals with the recent and important advances in the study of structured population models in biology and epidemiology. There are six chapters in this book, written by leading researchers in these areas.

Matrix Population Models

Author : Hal Caswell
Publisher : Sinauer Associates, Incorporated
ISBN 13 :
Total Pages : 774 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Matrix Population Models by : Hal Caswell

Download or read book Matrix Population Models written by Hal Caswell and published by Sinauer Associates, Incorporated. This book was released on 2001 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: DEVELOPING MATRICES AND USING DATA PROCESSING TO CREATE POPULATION MODELS.

Population Dynamics

Author : Bertram G. Jr. Murray
Publisher : Elsevier
ISBN 13 : 0323159850
Total Pages : 223 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Population Dynamics by : Bertram G. Jr. Murray

Download or read book Population Dynamics written by Bertram G. Jr. Murray and published by Elsevier. This book was released on 2013-07-22 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population Dynamics: Alternative Models provides a theoretical framework of population dynamics. This book contains seven chapters that discuss the controversies surrounding discussions on the explicit view of the subject. Chapters 1 and 2 present a general introduction to the terminology, the mathematical background, and the philosophical approach that lie behind the theoretical development. Chapter 3 contains a series of models accounting for variations in population growth rates, sizes, and fluctuations, while Chapter 4 examines a model accounting for the evolution of life history patterns. A more detailed examination of the effects of predation on prey populations, especially with respect to determining a prey population's maximum sustainable yield, is explored in Chapter 5. Chapter 6 highlights the interspecific competition theory in terms of the population dynamics models presented in a previous chapter. Chapter 7 summarizes the developments in the population dynamics research studies. This work will be of great value to ecologists, biologists, and population dynamics researchers.

Stage-Structured Populations

Author : Bryan Manly
Publisher : Springer Science & Business Media
ISBN 13 : 9400908431
Total Pages : 198 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Stage-Structured Populations by : Bryan Manly

Download or read book Stage-Structured Populations written by Bryan Manly and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a review of methods for obtaining and analysing data from stage-structured biological populations. The topics covered are sam pling designs (Chapter 2), the estimation of parameters by maximum likelihood (Chapter 3), the analysis of sample counts of the numbers cif individuals in different stages at different times (Chapters 4 and 5), the analysis of data using Leslie matrix types of model (Chapter 6) and key factor analysis (Chapter 7). There is also some discussion of the approaches to modelling and estimation that have been used in five studies of particular populations (Chapter 8). There is a large literature on the modelling of biological populations, and a multitude of different approaches have been used in this area. The various approaches can be classified in different ways (Southwood, 1978, ch. 12), but for the purposes of this book it is convenient to think of the three categories mathematical, statistical and predictive modelling. Mathematical modelling is concerned largely with developing models that capture the most important qualitative features of population dynamics. In this case, the models that are developed do not have to be compared with data from natural populations. As representations of idealized systems, they can be quite informative in showing the effects of changing parameters, indicating what factors are most important in promoting stability, and so on.

Management and Analysis of Biological Populations

Author : Bean-San Goh
Publisher : Elsevier Science & Technology
ISBN 13 :
Total Pages : 310 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Management and Analysis of Biological Populations by : Bean-San Goh

Download or read book Management and Analysis of Biological Populations written by Bean-San Goh and published by Elsevier Science & Technology. This book was released on 1980 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Management and Analysis of Biological Populations ...

Quantitative Population Dynamics

Author : Douglas George Chapman
Publisher : International Co-Operative Publishing House
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Quantitative Population Dynamics by : Douglas George Chapman

Download or read book Quantitative Population Dynamics written by Douglas George Chapman and published by International Co-Operative Publishing House. This book was released on 1981 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Genetic adaptation and models of population dynamics. The habitat equation: a useful concept in population modeling. Exploitative competition in transient habitat patches. Population adaptation to a 'Noisy'environment: stochastic analogs of some deterministic models. Correlation and spectral analyses of the dynamics of a controlled rotifer population. Dinamic equilibria of helminthic infections?. A population model with two delays. Stability of model systems describing prey-predator communities. Surplus yield models od fisheries management. An approach to analyzing age data. An age structure model of yellow perch in western Lake Erie. The use of leslie-type age-structure models for the Pacific halibut population.

Modelling Population Dynamics

Author : Ken Newman
Publisher : Springer
ISBN 13 : 9781493951628
Total Pages : 215 pages
Book Rating : 4.9/5 (516 download)

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Book Synopsis Modelling Population Dynamics by : Ken Newman

Download or read book Modelling Population Dynamics written by Ken Newman and published by Springer. This book was released on 2016-09-17 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a unifying framework for estimating the abundance of open populations: populations subject to births, deaths and movement, given imperfect measurements or samples of the populations. The focus is primarily on populations of vertebrates for which dynamics are typically modelled within the framework of an annual cycle, and for which stochastic variability in the demographic processes is usually modest. Discrete-time models are developed in which animals can be assigned to discrete states such as age class, gender, maturity, population (within a metapopulation), or species (for multi-species models). The book goes well beyond estimation of abundance, allowing inference on underlying population processes such as birth or recruitment, survival and movement. This requires the formulation and fitting of population dynamics models. The resulting fitted models yield both estimates of abundance and estimates of parameters characterizing the underlying processes.

Modelling Fluctuating Populations

Author : R. M. Nisbet
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Modelling Fluctuating Populations by : R. M. Nisbet

Download or read book Modelling Fluctuating Populations written by R. M. Nisbet and published by John Wiley & Sons. This book was released on 1982 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.

Dynamique des populations - Licence 2 et 3 Master

Author : Christine Lauzeral
Publisher :
ISBN 13 : 9782100858545
Total Pages : 0 pages
Book Rating : 4.8/5 (585 download)

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Book Synopsis Dynamique des populations - Licence 2 et 3 Master by : Christine Lauzeral

Download or read book Dynamique des populations - Licence 2 et 3 Master written by Christine Lauzeral and published by . This book was released on 2024-05-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modelling Population Dynamics

Author : K. B. Newman
Publisher :
ISBN 13 : 9781493909780
Total Pages : 215 pages
Book Rating : 4.9/5 (97 download)

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Book Synopsis Modelling Population Dynamics by : K. B. Newman

Download or read book Modelling Population Dynamics written by K. B. Newman and published by . This book was released on 2014 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a unifying framework for estimating the abundance of open populations: populations subject to births, deaths and movement, given imperfect measurements or samples of the populations. The focus is primarily on populations of vertebrates for which dynamics are typically modelled within the framework of an annual cycle, and for which stochastic variability in the demographic processes is usually modest. Discrete-time models are developed in which animals can be assigned to discrete states such as age class, gender, maturity, population (within a metapopulation), or species (for multi-species models). The book goes well beyond estimation of abundance, allowing inference on underlying population processes such as birth or recruitment, survival and movement. This requires the formulation and fitting of population dynamics models. The resulting fitted models yield both estimates of abundance and estimates of parameters characterizing the underlying processes.

Analyse Mathématique de Modèles de Dynamique Des Populations

Author : Jimmy Garnier
Publisher :
ISBN 13 :
Total Pages : 159 pages
Book Rating : 4.:/5 (872 download)

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Book Synopsis Analyse Mathématique de Modèles de Dynamique Des Populations by : Jimmy Garnier

Download or read book Analyse Mathématique de Modèles de Dynamique Des Populations written by Jimmy Garnier and published by . This book was released on 2012 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis deals with the mathematical analysis of reaction-dispersion models of the form [delta]tu=D(u) +f(x,u). We investigate the influence of the reaction term f, the dispersal operator D and the initial datum u0 on the propagation of the solutions of these reaction-dispersion equations. We mainly focus on two types of equations: reaction-diffusion equations (D=[delta]2z and integro-differential equations (D is a convolution operator, D(u)=J* u-u). We first investigate the homogeneous reaction-diffusion equations. We provide a new and intuitive explanation of the notions of pushed and pulled traveling waves. This approach allows us to understand the inside dynamics the traveling fronts and the impact of the Allee effect, that is a low fertility at low density, during a colonisation. Our results also have important consequences in population genetics. In the more general and realistic framework of heterogeneous reaction-diffusion equations, we exhibit examples where the fragmentation of the media modifies the spreading speed of the solution. Finally, we investigate integro-differential equations and prove that emph{fat-tailed} dispersal kernels J, that is kernels which decay slower than any exponentially decaying function at infinity, lead to acceleration of the level sets of the solution u.