An Introduction To Structured Population Dynamics

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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.

The Basic Approach to Age-Structured Population Dynamics

Author : Mimmo Iannelli
Publisher : Springer
ISBN 13 : 9402411461
Total Pages : 350 pages
Book Rating : 4.4/5 (24 download)

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Book Synopsis The Basic Approach to Age-Structured Population Dynamics by : Mimmo Iannelli

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 350 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.

Age-Structured Population Dynamics in Demography and Epidemiology

Author : Hisashi Inaba
Publisher : Springer
ISBN 13 : 981100188X
Total Pages : 555 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Age-Structured Population Dynamics in Demography and Epidemiology by : Hisashi Inaba

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 555 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.

An Introduction to Structured Population Dynamics

Author :
Publisher :
ISBN 13 :
Total Pages : 193 pages
Book Rating : 4.:/5 (928 download)

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Book Synopsis An Introduction to Structured Population Dynamics by :

Download or read book An Introduction to Structured Population Dynamics written by and published by . This book was released on 1971 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Dynamics of Physiologically Structured Populations

Author : Johan A. Metz
Publisher : Springer
ISBN 13 : 3662131595
Total Pages : 526 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis The Dynamics of Physiologically Structured Populations by : Johan A. Metz

Download or read book The Dynamics of Physiologically Structured Populations written by Johan A. Metz and published by Springer. This book was released on 2014-03-11 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Size-Structured Populations

Author : Bo Ebenman
Publisher : Springer Science & Business Media
ISBN 13 : 3642740014
Total Pages : 288 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Size-Structured Populations by : Bo Ebenman

Download or read book Size-Structured Populations written by Bo Ebenman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Structured-Population Models in Marine, Terrestrial, and Freshwater Systems

Author : Shripad Tuljapurkar
Publisher : Springer Science & Business Media
ISBN 13 : 9780412072710
Total Pages : 660 pages
Book Rating : 4.0/5 (727 download)

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Book Synopsis Structured-Population Models in Marine, Terrestrial, and Freshwater Systems by : Shripad Tuljapurkar

Download or read book Structured-Population Models in Marine, Terrestrial, and Freshwater Systems written by Shripad Tuljapurkar and published by Springer Science & Business Media. This book was released on 1997-01-31 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

Data-driven Modelling of Structured Populations

Author : Stephen P. Ellner
Publisher : Springer
ISBN 13 : 3319288938
Total Pages : 329 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Data-driven Modelling of Structured Populations by : Stephen P. Ellner

Download or read book Data-driven Modelling of Structured Populations written by Stephen P. Ellner and published by Springer. This book was released on 2016-05-13 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Integrated Population Models

Author : Michael Schaub
Publisher : Academic Press
ISBN 13 : 0128209151
Total Pages : 640 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Integrated Population Models by : Michael Schaub

Download or read book Integrated Population Models written by Michael Schaub and published by Academic Press. This book was released on 2021-11-12 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Introduction to Population Ecology

Author : Larry L. Rockwood
Publisher : John Wiley & Sons
ISBN 13 : 111894755X
Total Pages : 384 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Introduction to Population Ecology by : Larry L. Rockwood

Download or read book Introduction to Population Ecology written by Larry L. Rockwood and published by John Wiley & Sons. This book was released on 2015-04-07 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

A Short History of Mathematical Population Dynamics

Author : Nicolas Bacaër
Publisher : Springer Science & Business Media
ISBN 13 : 0857291157
Total Pages : 160 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis A Short History of Mathematical Population Dynamics by : Nicolas Bacaër

Download or read book A Short History of Mathematical Population Dynamics written by Nicolas Bacaër and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Theory of Age-structured Population Dynamics

Author : Mimmo Iannelli
Publisher : Giardini
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.4/5 (688 download)

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Book Synopsis Mathematical Theory of Age-structured Population Dynamics by : Mimmo Iannelli

Download or read book Mathematical Theory of Age-structured Population Dynamics written by Mimmo Iannelli and published by Giardini. This book was released on 1995 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Mathematical Ecology

Author : Mark Kot
Publisher : Cambridge University Press
ISBN 13 : 9780521001502
Total Pages : 468 pages
Book Rating : 4.0/5 (15 download)

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Book Synopsis Elements of Mathematical Ecology by : Mark Kot

Download or read book Elements of Mathematical Ecology written by Mark Kot and published by Cambridge University Press. This book was released on 2001-07-19 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to classical and modern mathematical models, methods, and issues in population ecology.

Age Structured Epidemic Modeling

Author : Xue-Zhi Li
Publisher : Springer Nature
ISBN 13 : 3030424960
Total Pages : 386 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Age Structured Epidemic Modeling by : Xue-Zhi Li

Download or read book Age Structured Epidemic Modeling written by Xue-Zhi Li and published by Springer Nature. This book was released on 2020-05-28 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides the tools for the analysis of this type of partial differential equation models. This book presents general theoretical tools as well as large number of specific examples to guide the reader to develop their own tools that they may then apply to study structured models in mathematical epidemiology. The book will be a valuable addition to the arsenal of all researchers interested in developing theory or studying specific models with age structure.

Sensitivity Analysis: Matrix Methods in Demography and Ecology

Author : Hal Caswell
Publisher : Springer
ISBN 13 : 3030105342
Total Pages : 308 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Sensitivity Analysis: Matrix Methods in Demography and Ecology by : Hal Caswell

Download or read book Sensitivity Analysis: Matrix Methods in Demography and Ecology written by Hal Caswell and published by Springer. This book was released on 2019-04-02 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes. The calculations are easily and accurately implemented in matrix-oriented programming languages such as Matlab or R. Sensitivity analysis will help readers create models to predict the effect of future changes, to evaluate policy effects, and to identify possible evolutionary responses to the environment. Complete with many examples of the application, the book will be of interest to researchers and graduate students in human demography and population biology. The material will also appeal to those in mathematical biology and applied mathematics.