Applications Of Delay Differential Equations To Population Dynamics In Variable Environments

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Delay Differential Equations

Author : Yang Kuang
Publisher : Academic Press
ISBN 13 : 0080960022
Total Pages : 413 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Delay Differential Equations by : Yang Kuang

Download or read book Delay Differential Equations written by Yang Kuang and published by Academic Press. This book was released on 1993-03-05 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of populations, and the oscillatory aspects of the dynamics. The book also includes coverage of the interplay of spatial diffusion and time delays in some diffusive delay population models. The treatment presented in this monograph will be of great value in the study of various classes of DDEs and their multidisciplinary applications.

Delay Differential Equations and Applications to Biology

Author : Fathalla A. Rihan
Publisher : Springer Nature
ISBN 13 : 9811606269
Total Pages : 292 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Delay Differential Equations and Applications to Biology by : Fathalla A. Rihan

Download or read book Delay Differential Equations and Applications to Biology written by Fathalla A. Rihan and published by Springer Nature. This book was released on 2021-08-19 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fractional-order derivatives to demonstrate their richer mathematical framework compared to differential equations without memory for the analysis of dynamical systems. The book also provides interesting applications of delay differential equations in infectious diseases, including COVID-19. It will be valuable to mathematicians and specialists associated with mathematical biology, mathematical modelling, life sciences, immunology and infectious diseases.

Soochow Journal of Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Soochow Journal of Mathematics by :

Download or read book Soochow Journal of Mathematics written by and published by . This book was released on 2007 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control and Optimization with PDE Constraints

Author : Kristian Bredies
Publisher : Springer Science & Business Media
ISBN 13 : 3034806310
Total Pages : 221 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Control and Optimization with PDE Constraints by : Kristian Bredies

Download or read book Control and Optimization with PDE Constraints written by Kristian Bredies and published by Springer Science & Business Media. This book was released on 2013-06-12 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control and optimization. This book presents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists address current topics such as non-smooth optimization, Hamilton–Jacobi–Bellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretization error estimates for optimal control problems, and control of quantum-dynamical systems. These contributions originate from the “International Workshop on Control and Optimization of PDEs” in Mariatrost in October 2011. This book is an excellent resource for students and researchers in control or optimization of differential equations. Readers interested in theory or in numerical algorithms will find this book equally useful.

Introduction to the Theory and Applications of Functional Differential Equations

Author : V. Kolmanovskii
Publisher : Springer Science & Business Media
ISBN 13 : 9401719659
Total Pages : 648 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Introduction to the Theory and Applications of Functional Differential Equations by : V. Kolmanovskii

Download or read book Introduction to the Theory and Applications of Functional Differential Equations written by V. Kolmanovskii and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the most important issues in the theory of functional differential equations and their applications for both deterministic and stochastic cases. Among the subjects treated are qualitative theory, stability, periodic solutions, optimal control and estimation, the theory of linear equations, and basic principles of mathematical modelling. The work, which treats many concrete problems in detail, gives a good overview of the entire field and will serve as a stimulating guide to further research. Audience: This volume will be of interest to researchers and (post)graduate students working in analysis, and in functional analysis in particular. It will also appeal to mathematical engineers, industrial mathematicians, mathematical system theoreticians and mathematical modellers.

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.

Applications of Nonlinear Dynamics To Developmental Process Modeling

Author : Karl M. Newell
Publisher : Psychology Press
ISBN 13 : 1317779118
Total Pages : 365 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Applications of Nonlinear Dynamics To Developmental Process Modeling by : Karl M. Newell

Download or read book Applications of Nonlinear Dynamics To Developmental Process Modeling written by Karl M. Newell and published by Psychology Press. This book was released on 2014-03-05 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been an increasing interest in the application of dynamical systems to the study of development over the last decade. The explosion of the dynamical systems framework in the physical and biological sciences has opened the door to a new Zeitgeist for studying development. This appeal to dynamical systems by developmentalists is natural given the intuitive links between the established fundamental problems of development and the conceptual and operational scope of nonlinear dynamical systems. This promise of a new approach and framework within which to study development has led to some progress in recent years but also a growing appreciation of the difficulty of both fully examining the new metaphor and realizing its potential. Divided into 4 parts, this book is a result of a recent conference on dynamical systems and development held at Pennsylvania State University. The first 3 parts focus on the content domains of development that have given most theoretical and empirical attention to the potential applications of dynamical systems--physical growth and movement, cognition, and communication. These parts show that a range of nonlinear models have been applied to a host of developmental phenomena. Part 4 highlights two particular methodological issues that hold important implications for the modeling of developmental phenomena with dynamical systems techniques.

Differential and Integral Equations

Author :
Publisher :
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Differential and Integral Equations by :

Download or read book Differential and Integral Equations written by and published by . This book was released on 1998 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Biological Delay Systems

Author : Norman MacDonald
Publisher : Cambridge University Press
ISBN 13 : 9780521048163
Total Pages : 256 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Biological Delay Systems by : Norman MacDonald

Download or read book Biological Delay Systems written by Norman MacDonald and published by Cambridge University Press. This book was released on 2008-01-03 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for delays such as those due to gestation, maturation or transport. This book deals with a fundamental question in the analysis of the effects of delays, namely whether they affect the stability of steady states.

Chaos in Ecology

Author : J. M. Cushing
Publisher : Elsevier
ISBN 13 : 9780121988760
Total Pages : 248 pages
Book Rating : 4.9/5 (887 download)

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Book Synopsis Chaos in Ecology by : J. M. Cushing

Download or read book Chaos in Ecology written by J. M. Cushing and published by Elsevier. This book was released on 2003 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos in Ecology is a convincing demonstration of chaos in a biological population. The book synthesizes an ecologically focused interdisciplinary blend of non-linear dynamics theory, statistics, and experimentation yielding results of uncommon clarity and rigor. Topics include fundamental issues that are of general and widespread importance to population biology and ecology. Detailed descriptions are included of the mathematical, statistical, and experimental steps they used to explore nonlinear dynamics in ecology. Beginning with a brief overview of chaos theory and its implications for ecology. The book continues by deriving and rigorously testing a mathematical model that is closely wedded to biological mechanisms of their research organism. Therefrom were generated a variety of predictions that are fundamental to chaos theory and experiments were designed and analyzed to test those predictions. Discussion of patterns in chaos and how they can be investigated using real data follows and book ends with a discussion of the salient lessons learned from this research program Book jacket.

An Introduction to Structured Population Dynamics

Author : J. M. Cushing
Publisher : SIAM
ISBN 13 : 9781611970005
Total Pages : 106 pages
Book Rating : 4.9/5 (7 download)

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Book Synopsis An Introduction to Structured Population Dynamics by : J. M. Cushing

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.

Dynamic Models and Control of Biological Systems

Author : Vadrevu Sree Hari Rao
Publisher : Springer Science & Business Media
ISBN 13 : 1441903593
Total Pages : 279 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Dynamic Models and Control of Biological Systems by : Vadrevu Sree Hari Rao

Download or read book Dynamic Models and Control of Biological Systems written by Vadrevu Sree Hari Rao and published by Springer Science & Business Media. This book was released on 2009-07-30 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Biology has grown at an astonishing rate and has established itself as a distinct discipline. Mathematical modeling is now being applied in every major discipline in the biological sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems which arise in the biological sciences and gives some indication of the wide spectrum of questions that modeling can address.

Differential Equations with Applications in Biology, Physics, and Engineering

Author : Jerome A. Goldstein
Publisher : Routledge
ISBN 13 : 1351455184
Total Pages : 353 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Differential Equations with Applications in Biology, Physics, and Engineering by : Jerome A. Goldstein

Download or read book Differential Equations with Applications in Biology, Physics, and Engineering written by Jerome A. Goldstein and published by Routledge. This book was released on 2017-10-05 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable as a textbook for a graduate seminar in mathematical modelling, and as a resource for scientists in a wide range of disciplines. Presents 22 lectures from an international conference in Leibnitz, Austria (no date mentioned), explaining recent developments and results in differential equatio

Differential Equations with Applications to Biology

Author : Shigui Ruan
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871294
Total Pages : 524 pages
Book Rating : 4.8/5 (712 download)

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Book Synopsis Differential Equations with Applications to Biology by : Shigui Ruan

Download or read book Differential Equations with Applications to Biology written by Shigui Ruan and published by American Mathematical Soc.. This book was released on with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings from the International Conference held in Halifax, NS in July 1997. Funded by The Fields Institute and Le Centre de Recherches Mathématiques, the conference was held in honor of the retirement of Professors Lynn Erbe and Herb I. Freedman (University of Alberta). Featured topics include ordinary, partial, functional, and stochastic differential equations and their applications to biology, epidemiology, neurobiology, physiology and other related areas. The 41 papers included in this volume represent the recent work of leading researchers over a wide range of subjects, including bifurcation theory, chaos, stability theory, boundary value problems, persistence theory, neural networks, disease transmission, population dynamics, pattern formation and more. The text would be suitable for a graduate or advanced undergraduate course study in mathematical biology. Features: An overview of current developments in differential equations and mathematical biology. Authoritative contributions from over 60 leading worldwide researchers. Original, refereed contributions.

Discrete Dynamics And Difference Equations - Proceedings Of The Twelfth International Conference On Difference Equations And Applications

Download Discrete Dynamics And Difference Equations - Proceedings Of The Twelfth International Conference On Difference Equations And Applications PDF Online Free

Author : Saber N Elaydi
Publisher : World Scientific
ISBN 13 : 9814466654
Total Pages : 438 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Discrete Dynamics And Difference Equations - Proceedings Of The Twelfth International Conference On Difference Equations And Applications by : Saber N Elaydi

Download or read book Discrete Dynamics And Difference Equations - Proceedings Of The Twelfth International Conference On Difference Equations And Applications written by Saber N Elaydi and published by World Scientific. This book was released on 2010-11-02 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume holds a collection of articles based on the talks presented at ICDEA 2007 in Lisbon, Portugal.The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems.

Population Dynamics for Conservation

Author : Louis W. Botsford
Publisher :
ISBN 13 : 0198758367
Total Pages : 353 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Population Dynamics for Conservation by : Louis W. Botsford

Download or read book Population Dynamics for Conservation written by Louis W. Botsford and published by . This book was released on 2019 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a coherent overview of the theory of single population dynamics, discussing concepts such as population variability, population stability, population viability/persistence, and harvest yield while later chapters address specific applications to conservation and management.

Encyclopedia of Theoretical Ecology

Author : Alan Hastings
Publisher : Univ of California Press
ISBN 13 : 0520269659
Total Pages : 848 pages
Book Rating : 4.5/5 (22 download)

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Book Synopsis Encyclopedia of Theoretical Ecology by : Alan Hastings

Download or read book Encyclopedia of Theoretical Ecology written by Alan Hastings and published by Univ of California Press. This book was released on 2012-05-31 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A bold and successful attempt to illustrate the theoretical foundations of all of the subdisciplines of ecology, including basic and applied, and extending through biophysical, population, community, and ecosystem ecology. Encyclopedia of Theoretical Ecology is a compendium of clear and concise essays by the intellectual leaders across this vast breadth of knowledge."--Harold Mooney, Stanford University "A remarkable and indispensable reference work that also is flexible enough to provide essential readings for a wide variety of courses. A masterful collection of authoritative papers that convey the rich and fundamental nature of modern theoretical ecology."--Simon A. Levin, Princeton University "Theoretical ecologists exercise their imaginations to make sense of the astounding complexity of both real and possible ecosystems. Imagining a real or possible topic left out of the Encyclopedia of Theoretical Ecology has proven just as challenging. This comprehensive compendium demonstrates that theoretical ecology has become a mature science, and the volume will serve as the foundation for future creativity in this area."--Fred Adler, University of Utah "The editors have assembled an outstanding group of contributors who are a great match for their topics. Sometimes the author is a key, authoritative figure in a field; and at other times, the author has enough distance to convey all sides of a subject. The next time you need to introduce ecology students to a theoretical topic, you'll be glad to have this encyclopedia on your bookshelf."--Stephen Ellner, Cornell University “Everything you wanted to know about theoretical ecology, and much that you didn’t know you needed to know but will now! Alan Hastings and Louis Gross have done us a great service by bringing together in very accessible form a huge amount of information about a broad, complicated, and expanding field.”--Daniel Simberloff, University of Tennessee, Knoxville