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Author : ZHANG. SHENGHAI
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)
Download or read book One Age-Dependent Population Dynamics written by ZHANG. SHENGHAI and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Glenn F. Webb
Publisher : CRC Press
ISBN 13 : 9780824772901
Total Pages : 312 pages
Book Rating : 4.7/5 (729 download)
Download or read book Theory of Nonlinear Age-Dependent Population Dynamics written by Glenn F. Webb and published by CRC Press. This book was released on 1985-01-05 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. Anita
Publisher : Springer Science & Business Media
ISBN 13 : 9401594368
Total Pages : 207 pages
Book Rating : 4.4/5 (15 download)
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.
Author : Mats Gyllenberg
Publisher :
ISBN 13 : 9789517528771
Total Pages : pages
Book Rating : 4.5/5 (287 download)
Download or read book Age-dependent Population Dynamics written by Mats Gyllenberg and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Glenn F. Webb
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (96 download)
Download or read book Theory of Nonlinear Age-dependent Population Dynamics Age-dependent Population Dynamics written by Glenn F. Webb and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michel Chipot
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (532 download)
Download or read book On the Equations of Age-dependent Population Dynamics written by Michel Chipot and published by . This book was released on 1982 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. E. Swick
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (31 download)
Download or read book Stability and Bifurcation in Age-dependent Population Dynamics written by K. E. Swick and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. M. Cushing
Publisher : SIAM
ISBN 13 : 9781611970005
Total Pages : 106 pages
Book Rating : 4.9/5 (7 download)
Download or read book An Introduction to Structured Population Dynamics written by J. M. Cushing and published by SIAM. This book was released on 1998-01-01 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in the temporal fluctuations of biological populations can be traced to the dawn of civilization. How can mathematics be used to gain an understanding of population dynamics? This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models. This theory bridges the gap between the characteristics of individual organisms in a population and the dynamics of the total population as a whole. In this monograph, many applications that illustrate both the theory and a wide variety of biological issues are given, along with an interdisciplinary case study that illustrates the connection of models with the data and the experimental documentation of model predictions. The author also discusses the use of discrete and continuous models and presents a general modeling theory for structured population dynamics. Cushing begins with an obvious point: individuals in biological populations differ with regard to their physical and behavioral characteristics and therefore in the way they interact with their environment. Studying this point effectively requires the use of structured models. Specific examples cited throughout support the valuable use of structured models. Included among these are important applications chosen to illustrate both the mathematical theories and biological problems that have received attention in recent literature.
Author : Mimmo Iannelli
Publisher : Springer
ISBN 13 : 9402411461
Total Pages : 357 pages
Book Rating : 4.4/5 (24 download)
Download or read book The Basic Approach to Age-Structured Population Dynamics written by Mimmo Iannelli and published by Springer. This book was released on 2017-08-27 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to age-structured population modeling which emphasizes the connection between mathematical theory and underlying biological assumptions. Through the rigorous development of the linear theory and the nonlinear theory alongside numerics, the authors explore classical equations that describe the dynamics of certain ecological systems. Modeling aspects are discussed to show how relevant problems in the fields of demography, ecology and epidemiology can be formulated and treated within the theory. In particular, the book presents extensions of age-structured modeling to the spread of diseases and epidemics while also addressing the issue of regularity of solutions, the asymptotic behavior of solutions, and numerical approximation. With sections on transmission models, non-autonomous models and global dynamics, this book fills a gap in the literature on theoretical population dynamics. The Basic Approach to Age-Structured Population Dynamics will appeal to graduate students and researchers in mathematical biology, epidemiology and demography who are interested in the systematic presentation of relevant models and mathematical methods.
Author : Hisashi Inaba
Publisher : Springer
ISBN 13 : 981100188X
Total Pages : 566 pages
Book Rating : 4.8/5 (11 download)
Download or read book Age-Structured Population Dynamics in Demography and Epidemiology written by Hisashi Inaba and published by Springer. This book was released on 2017-03-15 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one in which basic demographic models are rigorously formulated by using modern age-structured population dynamics, extended to study real-world population problems. Age structure is a crucial factor in understanding population phenomena, and the essential ideas in demography and epidemiology cannot be understood without mathematical formulation; therefore, this book gives readers a robust mathematical introduction to human population studies. In the first part of the volume, classical demographic models such as the stable population model and its linear extensions, density-dependent nonlinear models, and pair-formation models are formulated by the McKendrick partial differential equation and are analyzed from a dynamical system point of view. In the second part, mathematical models for infectious diseases spreading at the population level are examined by using nonlinear differential equations and a renewal equation. Since an epidemic can be seen as a nonlinear renewal process of an infected population, this book will provide a natural unification point of view for demography and epidemiology. The well-known epidemic threshold principle is formulated by the basic reproduction number, which is also a most important key index in demography. The author develops a universal theory of the basic reproduction number in heterogeneous environments. By introducing the host age structure, epidemic models are developed into more realistic demographic formulations, which are essentially needed to attack urgent epidemiological control problems in the real world.
Author : Md. Shahidul Islam
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (248 download)
Download or read book Non-linear Age-time Dependent Population Dynamics written by Md. Shahidul Islam and published by . This book was released on 2002 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Brokate
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (23 download)
Download or read book Pontryagins's principle for control problems in age-dependent population dynamics written by Martin Brokate and published by . This book was released on 1985 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matthew Witten
Publisher : Elsevier
ISBN 13 : 1483155633
Total Pages : 255 pages
Book Rating : 4.4/5 (831 download)
Download or read book Hyperbolic Partial Differential Equations written by Matthew Witten and published by Elsevier. This book was released on 2014-05-17 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyperbolic Partial Differential Equations, Volume 1: Population, Reactors, Tides and Waves: Theory and Applications covers three general areas of hyperbolic partial differential equation applications. These areas include problems related to the McKendrick/Von Foerster population equations, other hyperbolic form equations, and the numerical solution. This text is composed of 15 chapters and begins with surveys of age specific population interactions, populations models of diffusion, nonlinear age dependent population growth with harvesting, local and global stability for the nonlinear renewal equation in the Von Foerster model, and nonlinear age-dependent population dynamics. The next chapters deal with various applications of hyperbolic partial differential equations to such areas as age-structured fish populations, density dependent growth in a cell colony, boll-weevil-cotton crop modeling, age dependent predation and cannibalism, parasite populations, growth of microorganisms, and stochastic perturbations in the Von Foerster model. These topics are followed by discussions of bifurcation of time periodic solutions of the McKendrick equation; the periodic solution of nonlinear hyperbolic problems; and semigroup theory as applied to nonlinear age dependent population dynamics. Other chapters explore the stability of biochemical reaction tanks, an ADI model for the Laplace tidal equations, the Carleman equation, the nonequilibrium behavior of solids that transport heat by second sound, and the nonlinear hyperbolic partial differential equations and dynamic programming. The final chapters highlight two explicitly numerical applications: a predictor-convex corrector method and the Galerkin approximation in hyperbolic partial differential equations. This book will prove useful to practicing engineers, population researchers, physicists, and mathematicians.
Author : C. Y. Cyrus Chu
Publisher : Oxford University Press
ISBN 13 : 0195352882
Total Pages : 241 pages
Book Rating : 4.1/5 (953 download)
Download or read book Population Dynamics written by C. Y. Cyrus Chu and published by Oxford University Press. This book was released on 1998-09-03 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population Dynamics fills the gap between the classical supply-side population theory of Malthus and the modern demand-side theory of economic demography. In doing so, author Cyrus Chu investigates specifically the dynamic macro implications of various static micro family economic decisions. Holding the characteristic composition of the macro population to always be an aggregate result of some corresponding individual micro decision, Chu extends his research on the fertility-related decisions of families to an analysis of other economic determinations. Within this framework, Chu studies the income distribution, attitude composition, job structure, and aggregate savings and pensions of the population. While in some cases a micro-macro connection is easily established under regular behavioral assumptions, in several chapters Chu enlists the mathematical tool of branching processes to determine the connection. Offering a wealth of detail, this book provides a balanced discussion of background motivation, theoretical characterization, and empirical evidence in an effort to bring about a renewal in the economic approach to population dynamics. This welcome addition to the research and theory of economic demography will interest professional economists as well as professors and graduate students of economics.
Author : Sebastian Aniţa
Publisher : Springer Science & Business Media
ISBN 13 : 0817680985
Total Pages : 241 pages
Book Rating : 4.8/5 (176 download)
Download or read book An Introduction to Optimal Control Problems in Life Sciences and Economics written by Sebastian Aniţa and published by Springer Science & Business Media. This book was released on 2011-05-05 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining control theory and modeling, this textbook introduces and builds on methods for simulating and tackling concrete problems in a variety of applied sciences. Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems. An elementary presentation of advanced concepts, proofs to introduce new ideas, and carefully presented MATLAB® programs help foster an understanding of the basics, but also lead the way to new, independent research. With minimal prerequisites and exercises in each chapter, this work serves as an excellent textbook and reference for graduate and advanced undergraduate students, researchers, and practitioners in mathematics, physics, engineering, computer science, as well as biology, biotechnology, economics, and finance.
Author : Ovide Arino
Publisher : CRC Press
ISBN 13 : 1000154254
Total Pages : 812 pages
Book Rating : 4.0/5 (1 download)
Download or read book mathematical population dynamics written by Ovide Arino and published by CRC Press. This book was released on 2020-12-18 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outcome of the Second International Conference on Mathematical Population Dynamics. It is intended for mathematicians, statisticians, biologists, and medical researchers who are interested in recent advances in analyzing changes in populations of genes, cells, and tumors.
Author : Robert F. Costantino
Publisher : Springer Science & Business Media
ISBN 13 : 1461231701
Total Pages : 272 pages
Book Rating : 4.4/5 (612 download)
Download or read book Population Dynamics and the Tribolium Model: Genetics and Demography written by Robert F. Costantino and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of populations is becoming increasingly focused on dynamics. We believe there are two reasons for this trend. The ftrst is the impactof nonlinear dynamics with its exciting ideas and colorful language: bifurcations, domains of attraction, chaos, fractals, strange attractors. Complexity, which is so very much a part of biology, now seems to be also a part of mathematics. A second trend is the accessibility of the new concepts. Thebarriers tocommunicationbetween theoristandexperimentalistseemless impenetrable. The active participationofthe experimentalist means that the theory will obtain substance. Our role is the application of the theory of dynamics to the analysis ofbiological populations. We began our work early in 1979 by writing an ordinary differential equation for the rateofchange in adult numbers which was based on an equilibrium model proposed adecadeearlier. Duringthenextfewmonths weftlledournotebookswithstraightforward deductions from the model and its associated biological implications. Slowly, some of the biological observations were explained and papers followed on a variety of topics: genetic and demographic stability, stationary probability distributions for population size,population growth asabirth-deathprocess, natural selectionanddensity-dependent population growth, genetic disequilibrium, and the stationary stochastic dynamics of adult numbers.
