Modeling Behavior And Population Dynamics
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Modeling Behavior And Population Dynamics
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Author : Jim M. Cushing
language : en
Publisher: Springer Nature
Release Date : 2023-12-27
Modeling Behavior And Population Dynamics written by Jim M. Cushing and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-27 with Mathematics categories.
This monograph summarizes several decades of collaborations between ecologists and mathematicians, presenting novel applications in biological modeling. The authors are among the first researchers to pioneer the use of dynamical systems models to successfully describe and predict animal behavior in relation to environmental changes. The text highlights the biological and mathematical techniques used in the research, including three main components: 1) large data sets on natural populations in the field; 2) mathematical models rigorously tied to data, which describe, explain, and predict behavioral dynamics in relation to environmental variables; and 3) simplified, proof-of-concept models to probe dynamic mechanisms, suggest testable hypotheses, and allow study of the consequences of environmental change and evolving traits. It is a suitable text for field ecologists interested in the modeling procedures and conclusions addressed therein, as well as mathematicians interested inapplications to population, ecological, and evolutionary dynamics.
Modelling Fluctuating Populations
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Author : Roger M. Nisbet
language : en
Publisher:
Release Date : 1993
Modelling Fluctuating Populations written by Roger M. Nisbet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Population Biology
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Author : Alan Hastings
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Population Biology written by Alan Hastings and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.
Population biology has been investigated quantitatively for many decades, resulting in a rich body of scientific literature. Ecologists often avoid this literature, put off by its apparently formidable mathematics. This textbook provides an introduction to the biology and ecology of populations by emphasizing the roles of simple mathematical models in explaining the growth and behavior of populations. The author only assumes acquaintance with elementary calculus, and provides tutorial explanations where needed to develop mathematical concepts. Examples, problems, extensive marginal notes and numerous graphs enhance the book's value to students in classes ranging from population biology and population ecology to mathematical biology and mathematical ecology. The book will also be useful as a supplement to introductory courses in ecology.
Analysis And Control Of Age Dependent Population Dynamics
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Author : S. Anita
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-10-31
Analysis And Control Of Age Dependent Population Dynamics written by S. Anita and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-31 with Mathematics categories.
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.
Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences
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Author : Giovanni Naldi
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-12
Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences written by Giovanni Naldi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-12 with Mathematics categories.
Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.
Dynamical Systems In Population Biology
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Author : Xiao-Qiang Zhao
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-05
Dynamical Systems In Population Biology written by Xiao-Qiang Zhao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-05 with Mathematics categories.
Population dynamics is an important subject in mathematical biology. A cen tral problem is to study the long-term behavior of modeling systems. Most of these systems are governed by various evolutionary equations such as difference, ordinary, functional, and partial differential equations (see, e. g. , [165, 142, 218, 119, 55]). As we know, interactive populations often live in a fluctuating environment. For example, physical environmental conditions such as temperature and humidity and the availability of food, water, and other resources usually vary in time with seasonal or daily variations. Therefore, more realistic models should be nonautonomous systems. In particular, if the data in a model are periodic functions of time with commensurate period, a periodic system arises; if these periodic functions have different (minimal) periods, we get an almost periodic system. The existing reference books, from the dynamical systems point of view, mainly focus on autonomous biological systems. The book of Hess [106J is an excellent reference for periodic parabolic boundary value problems with applications to population dynamics. Since the publication of this book there have been extensive investigations on periodic, asymptotically periodic, almost periodic, and even general nonautonomous biological systems, which in turn have motivated further development of the theory of dynamical systems. In order to explain the dynamical systems approach to periodic population problems, let us consider, as an illustration, two species periodic competitive systems dUI dt = !I(t,Ul,U2), (0.
Structured Population Models In Marine Terrestrial And Freshwater Systems
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Author : Shripad Tuljapurkar
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-01-31
Structured Population Models In Marine Terrestrial And Freshwater Systems written by Shripad Tuljapurkar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-31 with Mathematics categories.
Providing many examples of how models can be implemented and interpreted, this book describes the biology of the life cycle and follows the transitions of individuals through stages in the life cycle. The focus is on models as tools.
Modeling And Population Dynamics Part 4
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Author :
language : en
Publisher:
Release Date : 1997
Modeling And Population Dynamics Part 4 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Population Dynamics And Laboratory Ecology
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Author : Robert Desharnais
language : en
Publisher: Elsevier
Release Date : 2005-08-04
Population Dynamics And Laboratory Ecology written by Robert Desharnais and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-04 with Science categories.
Population Dynamics and Laboratory Ecology highlights the contributions laboratory studies are making to our understanding of the dynamics of ecological and evolutionary systems. Chapters address the scientific rationale for laboratory ecology, its historical role within the broader discipline, and recent advances in research. The book presents results from a wide range of laboratory systems including insects, mites, plankton, protists, and microbes. A common theme throughout the book is the value of microcosm studies in advancing our knowledge of ecological and evolutionary principles. Each chapter is authored by scientists who are leading experts in their fields. The book addresses fundamental questions that are of interest to biologists whether they work in the laboratory or field or whether they are primarily empiricists or theorists. Details a scientific rationale for laboratory systems in ecological and evolutionary studies Offers a view on historical role of laboratory studies Includes examples of recent research advances in ecology and evolution using laboratory systems, ranging from insects to microbes Integrates mathematics, statistics and experimental studies
Mathematical Models
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Author : Richard Haberman
language : en
Publisher: SIAM
Release Date : 1998-12-01
Mathematical Models written by Richard Haberman and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-01 with Mathematics categories.
The author uses mathematical techniques to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow.