Matrix Models For Population Disease And Evolutionary Dynamics

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Matrix Models for Population, Disease, and Evolutionary Dynamics

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Author : J. M. Cushing
Publisher : American Mathematical Society
ISBN 13 : 1470473348
Total Pages : 293 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis Matrix Models for Population, Disease, and Evolutionary Dynamics by : J. M. Cushing

Download or read book Matrix Models for Population, Disease, and Evolutionary Dynamics written by J. M. Cushing and published by American Mathematical Society. This book was released on 2024-02-29 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the use of matrix theory and linear algebra in modeling the dynamics of biological populations. Matrix algebra has been used in population biology since the 1940s and continues to play a major role in theoretical and applied dynamics for populations structured by age, body size or weight, disease states, physiological and behavioral characteristics, life cycle stages, or any of many other possible classification schemes. With a focus on matrix models, the book requires only first courses in multivariable calculus and matrix theory or linear algebra as prerequisites. The reader will learn the basics of modeling methodology (i.e., how to set up a matrix model from biological underpinnings) and the fundamentals of the analysis of discrete time dynamical systems (equilibria, stability, bifurcations, etc.). A recurrent theme in all chapters concerns the problem of extinction versus survival of a population. In addition to numerous examples that illustrate these fundamentals, several applications appear at the end of each chapter that illustrate the full cycle of model setup, mathematical analysis, and interpretation. The author has used the material over many decades in a variety of teaching and mentoring settings, including special topics courses and seminars in mathematical modeling, mathematical biology, and dynamical systems.

Chaos in Ecology

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

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.

Sensitivity Analysis: Matrix Methods in Demography and Ecology

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

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.

The Mathematics of Cellular Automata

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Author : Jane Hawkins
Publisher : American Mathematical Society
ISBN 13 : 1470475375
Total Pages : 247 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis The Mathematics of Cellular Automata by : Jane Hawkins

Download or read book The Mathematics of Cellular Automata written by Jane Hawkins and published by American Mathematical Society. This book was released on 2024-03-21 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a rigorous mathematical introduction to cellular automata (CA). Numerous colorful graphics illustrate the many intriguing phenomena, inviting undergraduates to step into the rich field of symbolic dynamics. Beginning with a brief history, the first half of the book establishes the mathematical foundations of cellular automata. After recapping the essentials from advanced calculus, the chapters that follow introduce symbolic spaces, equicontinuity, and attractors. More advanced topics include the Garden of Eden theorem and Conway's Game of Life, and a chapter on stochastic CA showcases a model of virus spread. Exercises and labs end each chapter, covering a range of applications, both mathematical and physical. Designed for undergraduates studying mathematics and related areas, the text provides ample opportunities for end-of-semester projects or further study. Computer use for the labs is largely optional, providing flexibility for different preferences and resources. Knowledge of advanced calculus and linear algebra is essential, while a course in real analysis would be ideal.

Introduction to Population Biology

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Author : Dick Neal
Publisher : Cambridge University Press
ISBN 13 : 1107605121
Total Pages : 461 pages
Book Rating : 4.1/5 (76 download)

Book Synopsis Introduction to Population Biology by : Dick Neal

Download or read book Introduction to Population Biology written by Dick Neal and published by Cambridge University Press. This book was released on 2019 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updated to include two new chapters, a modified Part II structure, more recent empirical examples, and online spreadsheet simulations.

Population Dynamics in Variable Environments

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Author : Shripad Tuljapurkar
Publisher : Springer Science & Business Media
ISBN 13 : 3642516521
Total Pages : 148 pages
Book Rating : 4.6/5 (425 download)

Book Synopsis Population Dynamics in Variable Environments by : Shripad Tuljapurkar

Download or read book Population Dynamics in Variable Environments written by Shripad Tuljapurkar and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demography relates observable facts about individuals to the dynamics of populations. If the dynamics are linear and do not change over time, the classical theory of Lotka (1907) and Leslie (1945) is the central tool of demography. This book addresses the situation when the assumption of constancy is dropped. In many practical situations, a population will display unpredictable variation over time in its vital rates, which must then be described in statistical terms. Most of this book is concerned with the theory of populations which are subject to random temporal changes in their vital rates, although other kinds of variation (e. g. , cyclical) are also dealt with. The central questions are: how does temporal variation work its way into a population's future, and how does it affect our interpretation of a population's past. The results here are directed at demographers of humans and at popula tion biologists. The uneven mathematical level is dictated by the material, but the book should be accessible to readers interested in population the ory. (Readers looking for background or prerequisites will find much of it in Hal Caswell's Matrix population models: construction, analysis, and in terpretation (Sinauer 1989) ). This book is in essence a progress report and is deliberately brief; I hope that it is not mystifying. I have not attempted to be complete about either the history or the subject, although most sig nificant results and methods are presented.

Wildlife Disease Ecology

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Author : Kenneth Wilson
Publisher : Cambridge University Press
ISBN 13 : 1107136563
Total Pages : 693 pages
Book Rating : 4.1/5 (71 download)

Book Synopsis Wildlife Disease Ecology by : Kenneth Wilson

Download or read book Wildlife Disease Ecology written by Kenneth Wilson and published by Cambridge University Press. This book was released on 2019-11-14 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces readers to key case studies that illustrate how theory and data can be integrated to understand wildlife disease ecology.

Integrated Population Models

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

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

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

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Author : Shripad Tuljapurkar
Publisher : Springer Science & Business Media
ISBN 13 : 1461559731
Total Pages : 644 pages
Book Rating : 4.4/5 (615 download)

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 2012-12-06 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the summer of 1993, twenty-six graduate and postdoctoral stu dents and fourteen lecturers converged on Cornell University for a summer school devoted to structured-population models. This school was one of a series to address concepts cutting across the traditional boundaries separating terrestrial, marine, and freshwa ter ecology. Earlier schools resulted in the books Patch Dynamics (S. A. Levin, T. M. Powell & J. H. Steele, eds., Springer-Verlag, Berlin, 1993) and Ecological Time Series (T. M. Powell & J. H. Steele, eds., Chapman and Hall, New York, 1995); a book on food webs is in preparation. Models of population structure (differences among individuals due to age, size, developmental stage, spatial location, or genotype) have an important place in studies of all three kinds of ecosystem. In choosing the participants and lecturers for the school, we se lected for diversity-biologists who knew some mathematics and mathematicians who knew some biology, field biologists sobered by encounters with messy data and theoreticians intoxicated by the elegance of the underlying mathematics, people concerned with long-term evolutionary problems and people concerned with the acute crises of conservation biology. For four weeks, these perspec tives swirled in discussions that started in the lecture hall and carried on into the sweltering Ithaca night. Diversity mayor may not increase stability, but it surely makes things interesting.

The Evolutionary Ecology of Plant Disease

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Author : Gregory Gilbert
Publisher : Oxford University Press
ISBN 13 : 0192518763
Total Pages : 337 pages
Book Rating : 4.1/5 (925 download)

Book Synopsis The Evolutionary Ecology of Plant Disease by : Gregory Gilbert

Download or read book The Evolutionary Ecology of Plant Disease written by Gregory Gilbert and published by Oxford University Press. This book was released on 2023-06-19 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the symbiosis between plants and pathogenic microbes is at the core of effective disease management for crops and managed forests. At the same time, plant-pathogen interactions comprise a wonderfully diverse set of ecological relationships that are powerful and yet so commonplace that they often go unnoticed. Ecologists and evolutionary biologists are increasingly exploring the terrain of plant disease ecology, investigating topics such as how pathogens shape diversity in plant communities, how features of plant-microbe interactions including host range and mutualism/antagonism evolve, and how biological invasions, climate change, and other agents of global change can drive disease emergence. Traditional training in ecology and evolutionary biology seldom provides structured exposure to plant pathology or microbiology, and training in plant pathology rarely offers depth in the theoretical frameworks of evolutionary ecology or includes examples from complex wild ecosystems. This novel textbook seeks to unite the research communities of plant disease ecology and plant pathology by bridging this gap.

New Frontiers of Molecular Epidemiology of Infectious Diseases

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Author : Serge Morand
Publisher : Springer Science & Business Media
ISBN 13 : 9400721145
Total Pages : 335 pages
Book Rating : 4.4/5 (7 download)

Book Synopsis New Frontiers of Molecular Epidemiology of Infectious Diseases by : Serge Morand

Download or read book New Frontiers of Molecular Epidemiology of Infectious Diseases written by Serge Morand and published by Springer Science & Business Media. This book was released on 2011-09-08 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Molecular epidemiology has recently broaden its focuses due to the development of molecular tools but also by incorporating advances of other fields such as mathematical epidemiology, molecular ecology, population genetics and evolution. Facing new risks of emerging and re-emerging infectious diseases that are threats for humans and their livestock, the objectives of molecular epidemiology include: - the development of molecular tools, genotyping and gene expression - the incorporation of concepts and results of population genetics of infectious diseases - the integration of recent advances in theoretical epidemiology and evolutionary ecology of diseases - a better understanding of transmission for the development of risk factors analyses. This book will demonstrate how the latest developments in molecular tools and in epidemiology can be integrated with studies of host-pathogen interactions. Besides a strong theoretical component, there will also be an emphasis on applications in the fields of epidemiology, public health, veterinary medicine, and health ecology. Students and researchers in the fields of epidemiology, animal and human health, evolutionary ecology, parasitology are the main potential readers of the book, as well as a broader audience from veterinary medicine and conservation.

Mathematical Models for Communicable Diseases

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Author : Fred Brauer
Publisher : SIAM
ISBN 13 : 1611972418
Total Pages : 279 pages
Book Rating : 4.6/5 (119 download)

Book Synopsis Mathematical Models for Communicable Diseases by : Fred Brauer

Download or read book Mathematical Models for Communicable Diseases written by Fred Brauer and published by SIAM. This book was released on 2013-02-07 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.

Time, Process and Structured Transformation in Archaeology

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Author : James McGlade
Publisher : Routledge
ISBN 13 : 1134525028
Total Pages : 558 pages
Book Rating : 4.1/5 (345 download)

Book Synopsis Time, Process and Structured Transformation in Archaeology by : James McGlade

Download or read book Time, Process and Structured Transformation in Archaeology written by James McGlade and published by Routledge. This book was released on 2013-10-16 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a discipline which essentially studies how modern man came to be, it is remarkable that there are hardly any conceptual tools to describe change. This is due to the history of the western intellectual and scientific tradition, which for a long time favoured mechanics over dynamics, and the study of stability over that of change. Change was primarily deemed due to external events (in archaeology mainly climatic or 'environmental'). Revolutionary innovations in the natural and life sciences, often (erroneously) referred to as 'chaos theory', suggest that there are ways to overcome this problem. A wide range of processes can be described in terms of dynamic systems, and modern computing methods enable us to investigate many of their properties. This volume presents a cogent argument for the use of such approaches, and a discussion of a number of its aspects by a range of scientists from the humanities, social and natural sciences, and archaeology.

Modelling Complex Ecological Dynamics

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Author : Fred Jopp
Publisher : Springer Science & Business Media
ISBN 13 : 3642050298
Total Pages : 400 pages
Book Rating : 4.6/5 (42 download)

Book Synopsis Modelling Complex Ecological Dynamics by : Fred Jopp

Download or read book Modelling Complex Ecological Dynamics written by Fred Jopp and published by Springer Science & Business Media. This book was released on 2011-02-11 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model development is of vital importance for understanding and management of ecological processes. Identifying the complex relationships between ecological patterns and processes is a crucial task. Ecological modelling—both qualitatively and quantitatively—plays a vital role in analysing ecological phenomena and for ecological theory. This textbook provides a unique overview of modelling approaches. Representing the state-of-the-art in modern ecology, it shows how to construct and work with various different model types. It introduces the background of each approach and its application in ecology. Differential equations, matrix approaches, individual-based models and many other relevant modelling techniques are explained and demonstrated with their use. The authors provide links to software tools and course materials. With chapters written by leading specialists, “Modelling Complex Ecological Dynamics” is an essential contribution to expand the qualification of students, teachers and scientists alike.

Integrodifferential Equations and Delay Models in Population Dynamics

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Author : J. M. Cushing
Publisher : Springer Science & Business Media
ISBN 13 : 3642930735
Total Pages : 202 pages
Book Rating : 4.6/5 (429 download)

Book Synopsis Integrodifferential Equations and Delay Models in Population Dynamics by : J. M. Cushing

Download or read book Integrodifferential Equations and Delay Models in Population Dynamics written by J. M. Cushing and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are, for the most part, the result of a course I taught at the University of Arizona during the Spring of 1977. Their main purpose is to inves tigate the effect that delays (of Volterra integral type) have when placed in the differential models of mathematical ecology, as far as stability of equilibria and the nature of oscillations of species densities are concerned. A secondary pur pose of the course out of which they evolved was to give students an (at least elementary) introduction to some mathematical modeling in ecology as well as to some purely mathematical subjects, such as stability theory for integrodifferentia1 systems, bifurcation theory, and some simple topics in perturbation theory. The choice of topics of course reflects my personal interests; and while these notes were not meant to exhaust the topics covered, I think they and the list of refer ences come close to covering the literature to date, as far as integrodifferentia1 models in ecology are concerned. I would like to thank the students who took the course and consequently gave me the opportunity and stimulus to organize these notes. Special thanks go to Professor Paul Fife and Dr. George Swan who also sat in the course and were quite helpful with their comments and observations. Also deserving thanks are Professor Robert O'Malley and Ms. Louise C. Fields of the Applied Mathematics Program here at the University of Arizona. Ms. Fields did an outstandingly efficient and accu rate typing of the manuscript.

Mathematics of Planet Earth

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Author : Hans G. Kaper
Publisher : Springer Nature
ISBN 13 : 3030220443
Total Pages : 385 pages
Book Rating : 4.0/5 (32 download)

Book Synopsis Mathematics of Planet Earth by : Hans G. Kaper

Download or read book Mathematics of Planet Earth written by Hans G. Kaper and published by Springer Nature. This book was released on 2019-11-01 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its inception in 2013, Mathematics of Planet Earth (MPE) focuses on mathematical issues arising in the study of our planet. Interested in the impact of human activities on the Earth’s system, this multidisciplinary field considers the planet not only as a physical system, but also as a system supporting life, a system organized by humans, and a system at risk. The articles collected in this volume demonstrate the breadth of techniques and tools from mathematics, statistics, and operations research used in MPE. Topics include climate modeling, the spread of infectious diseases, stability of ecosystems, ecosystem services, biodiversity, infrastructure restoration after an extreme event, urban environments, food security, and food safety. Demonstrating the mathematical sciences in action, this book presents real-world challenges for the mathematical sciences, highlighting applications to issues of current concern to society. Arranged into three topical sections (Geo- and Physical Sciences; Life Sciences, Ecology and Evolution; Socio-economics and Infrastructure), thirteen chapters address questions such as how to measure biodiversity, what mathematics can say about the sixth mass extinction, how to optimize the long-term human use of natural capital, and the impact of data on infrastructure management. The book also treats the subject of infectious diseases with new examples and presents an introduction to the mathematics of food systems and food security. Each chapter functions as an introduction that can be studied independently, offering source material for graduate student seminars and self-study. The range of featured research topics provides mathematical scientists with starting points for the study of our planet and the impact of human activities. At the same time, it offers application scientists a plethora of modern mathematical tools and techniques to address the various topics in practice. Including hundreds of references to the vast literature associated with each topic, this book serves as an inspiration for further research.

Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies

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Author : Rubem P. Mondaini
Publisher : Springer Nature
ISBN 13 : 3031590724
Total Pages : 364 pages
Book Rating : 4.0/5 (315 download)

Book Synopsis Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies by : Rubem P. Mondaini

Download or read book Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies written by Rubem P. Mondaini and published by Springer Nature. This book was released on with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: