An Introduction To Structured Population Dynamics

Author : J. M. Cushing
Publisher : SIAM
Page : 106 pages
File Size : 54,5 Mb
Release : 1998-01-01
Category : Science
ISBN : 1611970008

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An Introduction to Structured Population Dynamics by J. M. Cushing Pdf

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 : Anonim
Publisher : Unknown
Page : 193 pages
File Size : 44,6 Mb
Release : 1971
Category : Electronic
ISBN : OCLC:928217515

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An Introduction to Structured Population Dynamics by Anonim Pdf

Author : Mimmo Iannelli,Fabio Milner
Publisher : Springer
Page : 350 pages
File Size : 48,7 Mb
Release : 2017-08-27
Category : Mathematics
ISBN : 9789402411461

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The Basic Approach to Age-Structured Population Dynamics by Mimmo Iannelli,Fabio Milner Pdf

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 : Johan A. Metz,Odo Diekmann
Publisher : Springer
Page : 526 pages
File Size : 54,8 Mb
Release : 2014-03-11
Category : Mathematics
ISBN : 9783662131596

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The Dynamics of Physiologically Structured Populations by Johan A. Metz,Odo Diekmann Pdf

Author : Hisashi Inaba
Publisher : Springer
Page : 555 pages
File Size : 54,7 Mb
Release : 2017-03-15
Category : Social Science
ISBN : 9789811001888

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Age-Structured Population Dynamics in Demography and Epidemiology by Hisashi Inaba Pdf

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 : Shripad Tuljapurkar,Hal Caswell
Publisher : Springer Science & Business Media
Page : 660 pages
File Size : 47,9 Mb
Release : 1997-01-31
Category : Mathematics
ISBN : 0412072718

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Structured-Population Models in Marine, Terrestrial, and Freshwater Systems by Shripad Tuljapurkar,Hal Caswell Pdf

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.

Author : Bo Ebenman,Lennart Persson
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642740015

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Size-Structured Populations by Bo Ebenman,Lennart Persson Pdf

At last both ecology and evolution are covered in this study on the dynamics of size-structured populations. How does natural selection shape growth patterns and life cycles of individuals, and hence the size-structure of populations? This book will stimulate biologists to look into some important and interesting biological problems from a new angle of approach, concerning: - life history evolution, - intraspecific competition and niche theory, - structure and dynamics of ecological communities.

Author : Pierre Magal,Shigui Ruan
Publisher : Springer
Page : 314 pages
File Size : 55,7 Mb
Release : 2008-04-12
Category : Mathematics
ISBN : 9783540782735

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Structured Population Models in Biology and Epidemiology by Pierre Magal,Shigui Ruan Pdf

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.

Author : Stephen P. Ellner,Dylan Z. Childs,Mark Rees
Publisher : Springer
Page : 329 pages
File Size : 54,8 Mb
Release : 2016-05-13
Category : Mathematics
ISBN : 9783319288932

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Data-driven Modelling of Structured Populations by Stephen P. Ellner,Dylan Z. Childs,Mark Rees Pdf

This book is a “How To” guide for modeling population dynamics using Integral Projection Models (IPM) starting from observational data. It is written by a leading research team in this area and includes code in the R language (in the text and online) to carry out all computations. The intended audience are ecologists, evolutionary biologists, and mathematical biologists interested in developing data-driven models for animal and plant populations. IPMs may seem hard as they involve integrals. The aim of this book is to demystify IPMs, so they become the model of choice for populations structured by size or other continuously varying traits. The book uses real examples of increasing complexity to show how the life-cycle of the study organism naturally leads to the appropriate statistical analysis, which leads directly to the IPM itself. A wide range of model types and analyses are presented, including model construction, computational methods, and the underlying theory, with the more technical material in Boxes and Appendices. Self-contained R code which replicates all of the figures and calculations within the text is available to readers on GitHub. Stephen P. Ellner is Horace White Professor of Ecology and Evolutionary Biology at Cornell University, USA; Dylan Z. Childs is Lecturer and NERC Postdoctoral Fellow in the Department of Animal and Plant Sciences at The University of Sheffield, UK; Mark Rees is Professor in the Department of Animal and Plant Sciences at The University of Sheffield, UK.

Author : Michael Schaub,Marc Kéry
Publisher : Academic Press
Page : 640 pages
File Size : 44,8 Mb
Release : 2021-11-12
Category : Science
ISBN : 9780128209158

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Integrated Population Models by Michael Schaub,Marc Kéry Pdf

Integrated Population Models: Theory and Ecological Applications with R and JAGS is the first book on integrated population models, which constitute a powerful framework for combining multiple data sets from the population and the individual levels to estimate demographic parameters, and population size and trends. These models identify drivers of population dynamics and forecast the composition and trajectory of a population. Written by two population ecologists with expertise on integrated population modeling, this book provides a comprehensive synthesis of the relevant theory of integrated population models with an extensive overview of practical applications, using Bayesian methods by means of case studies. The book contains fully-documented, complete code for fitting all models in the free software, R and JAGS. It also includes all required code for pre- and post-model-fitting analysis. Integrated Population Models is an invaluable reference for researchers and practitioners involved in population analysis, and for graduate-level students in ecology, conservation biology, wildlife management, and related fields. The text is ideal for self-study and advanced graduate-level courses. Offers practical and accessible ecological applications of IPMs (integrated population models) Provides full documentation of analyzed code in the Bayesian framework Written and structured for an easy approach to the subject, especially for non-statisticians

Author : S. Anita
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 42,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401594363

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Analysis and Control of Age-Dependent Population Dynamics by S. Anita Pdf

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 : Larry L. Rockwood
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 46,8 Mb
Release : 2015-04-07
Category : Science
ISBN : 9781118947555

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Introduction to Population Ecology by Larry L. Rockwood Pdf

Introduction to Population Ecology, 2ndEdition is a comprehensive textbook covering all aspectsof population ecology. It uses a wide variety of field andlaboratory examples, botanical to zoological, from the tropics tothe tundra, to illustrate the fundamental laws of populationecology. Controversies in population ecology are brought fully upto date in this edition, with many brand new and revised examplesand data. Each chapter provides an overview of how population theory hasdeveloped, followed by descriptions of laboratory and field studiesthat have been inspired by the theory. Topics explored includesingle-species population growth and self-limitation, lifehistories, metapopulations and a wide range of interspecificinteractions including competition, mutualism, parasite-host,predator-prey and plant-herbivore. An additional final chapter, newfor the second edition, considers multi-trophic and other complexinteractions among species. Throughout the book, the mathematics involved is explained with astep-by-step approach, and graphs and other visual aids are used to present a clear illustration of how themodels work. Such features make this an accessible introduction topopulation ecology; essential reading for undergraduate andgraduate students taking courses in population ecology, appliedecology, conservation ecology, and conservation biology, includingthose with little mathematical experience.

Author : Nicolas Bacaër
Publisher : Springer Science & Business Media
Page : 160 pages
File Size : 41,9 Mb
Release : 2011-02-01
Category : Mathematics
ISBN : 9780857291158

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A Short History of Mathematical Population Dynamics by Nicolas Bacaër Pdf

As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.

Author : Richard Haberman
Publisher : SIAM
Page : 412 pages
File Size : 43,5 Mb
Release : 1998-12-01
Category : Mathematics
ISBN : 9780898714081

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Mathematical Models by Richard Haberman Pdf

The author uses mathematical techniques to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow.

Author : Mimmo Iannelli
Publisher : Giardini
Page : 196 pages
File Size : 44,8 Mb
Release : 1995
Category : Age distribution (Demography)
ISBN : CHI:46889805

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Mathematical Theory of Age-structured Population Dynamics by Mimmo Iannelli Pdf