Mathematical Models in Population Biology and Epidemiology

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Publisher : Springer Science & Business Media
ISBN 13 : 1475735162
Total Pages : 432 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematical Models in Population Biology and Epidemiology by : Fred Brauer

Download or read book Mathematical Models in Population Biology and Epidemiology written by Fred Brauer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

Mathematics in Population Biology

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Publisher : Princeton University Press
ISBN 13 : 0691187657
Total Pages : pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics in Population Biology by : Horst R. Thieme

Download or read book Mathematics in Population Biology written by Horst R. Thieme and published by Princeton University Press. This book was released on 2018-06-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Population Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 1475727313
Total Pages : 228 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Population Biology by : Alan Hastings

Download or read book Population Biology written by Alan Hastings and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamical Systems in Population Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 0387217614
Total Pages : 285 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Dynamical Systems in Population Biology by : Xiao-Qiang Zhao

Download or read book Dynamical Systems in Population Biology written by Xiao-Qiang Zhao and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

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Publisher : Princeton University Press
ISBN 13 : 1400840910
Total Pages : 745 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis A Biologist's Guide to Mathematical Modeling in Ecology and Evolution by : Sarah P. Otto

Download or read book A Biologist's Guide to Mathematical Modeling in Ecology and Evolution written by Sarah P. Otto and published by Princeton University Press. This book was released on 2011-09-19 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

Mathematical Methods of Population Biology

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Publisher : Cambridge University Press
ISBN 13 : 9780521282567
Total Pages : 162 pages
Book Rating : 4.2/5 (825 download)

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Book Synopsis Mathematical Methods of Population Biology by : Frank Charles Hoppensteadt

Download or read book Mathematical Methods of Population Biology written by Frank Charles Hoppensteadt and published by Cambridge University Press. This book was released on 1982-02-26 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to mathematical methods used in the study of population phenomena including models of total population and population age structure, models of random population events presented in terms of Markov chains, and methods used to uncover qualitative behavior of more complicated difference equations.

A Short History of Mathematical Population Dynamics

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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.

An Introduction to Mathematical Population Dynamics

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Publisher : Springer
ISBN 13 : 3319030264
Total Pages : 346 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis An Introduction to Mathematical Population Dynamics by : Mimmo Iannelli

Download or read book An Introduction to Mathematical Population Dynamics written by Mimmo Iannelli and published by Springer. This book was released on 2015-01-23 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of infectious diseases, a field where mathematical modeling is extremely popular. These themes are used as the area where to understand different types of mathematical modeling and the possible meaning of qualitative agreement of modeling with data. The book also includes a collections of problems designed to approach more advanced questions. This material has been used in the courses at the University of Trento, directed at students in their fourth year of studies in Mathematics. It can also be used as a reference as it provides up-to-date developments in several areas.

Mathematical Biology II

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Publisher : Springer Science & Business Media
ISBN 13 : 0387952284
Total Pages : 834 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Mathematical Biology II by : James D. Murray

Download or read book Mathematical Biology II written by James D. Murray and published by Springer Science & Business Media. This book was released on 2011-02-15 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences. It has been extensively updated and extended to cover much of the growth of mathematical biology. From the reviews: ""This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences."--SHORT BOOK REVIEWS

Essential Mathematical Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 1447100492
Total Pages : 335 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Essential Mathematical Biology by : Nicholas F. Britton

Download or read book Essential Mathematical Biology written by Nicholas F. Britton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained introduction to the fast-growing field of Mathematical Biology is written for students with a mathematical background. It sets the subject in a historical context and guides the reader towards questions of current research interest. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. Particular attention is paid to situations where the simple assumptions of homogenity made in early models break down and the process of mathematical modelling is seen in action.

Mathematical Models in Biology

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Publisher : SIAM
ISBN 13 : 9780898719147
Total Pages : 629 pages
Book Rating : 4.7/5 (191 download)

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Book Synopsis Mathematical Models in Biology by : Leah Edelstein-Keshet

Download or read book Mathematical Models in Biology written by Leah Edelstein-Keshet and published by SIAM. This book was released on 1988-01-01 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Structured Population Models in Biology and Epidemiology

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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.

Complex Population Dynamics

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Publisher : Princeton University Press
ISBN 13 : 1400847281
Total Pages : 471 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Complex Population Dynamics by : Peter Turchin

Download or read book Complex Population Dynamics written by Peter Turchin and published by Princeton University Press. This book was released on 2013-02-15 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do organisms become extremely abundant one year and then seem to disappear a few years later? Why do population outbreaks in particular species happen more or less regularly in certain locations, but only irregularly (or never at all) in other locations? Complex population dynamics have fascinated biologists for decades. By bringing together mathematical models, statistical analyses, and field experiments, this book offers a comprehensive new synthesis of the theory of population oscillations. Peter Turchin first reviews the conceptual tools that ecologists use to investigate population oscillations, introducing population modeling and the statistical analysis of time series data. He then provides an in-depth discussion of several case studies--including the larch budmoth, southern pine beetle, red grouse, voles and lemmings, snowshoe hare, and ungulates--to develop a new analysis of the mechanisms that drive population oscillations in nature. Through such work, the author argues, ecologists can develop general laws of population dynamics that will help turn ecology into a truly quantitative and predictive science. Complex Population Dynamics integrates theoretical and empirical studies into a major new synthesis of current knowledge about population dynamics. It is also a pioneering work that sets the course for ecology's future as a predictive science.

Mathematical Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 3662085429
Total Pages : 783 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Mathematical Biology by : James D. Murray

Download or read book Mathematical Biology written by James D. Murray and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has always benefited from its involvement with developing sciences. Each successive interaction revitalises and enhances the field. Biomedical science is clearly the premier science of the foreseeable future. For the continuing health of their subject mathematicians must become involved with biology. With the example of how mathematics has benefited from and influenced physics, it is clear that if mathematicians do not become involved in the biosciences they will simply not be a part of what are likely to be the most important and exciting scientific discoveries of all time. Mathematical biology is a fast growing, well recognised, albeit not clearly defined, subject and is, to my mind, the most exciting modern application of mathematics. The increasing use of mathematics in biology is inevitable as biol ogy becomes more quantitative. The complexity of the biological sciences makes interdisciplinary involvement essential. For the mathematician, biology opens up new and exciting branches while for the biologist mathematical modelling offers another research tool commmensurate with a new powerful laboratory technique but only if used appropriately and its limitations recognised. However, the use of esoteric mathematics arrogantly applied to biological problems by mathemati cians who know little about the real biology, together with unsubstantiated claims as to how important such theories are, does little to promote the interdisciplinary involvement which is so essential. Mathematical biology research, to be useful and interesting, must be relevant biologically.

Differential Equations and Applications in Ecology, Epidemics, and Population Problems

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Publisher : Elsevier
ISBN 13 : 0323153429
Total Pages : 376 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Differential Equations and Applications in Ecology, Epidemics, and Population Problems by : Stavros Busenberg

Download or read book Differential Equations and Applications in Ecology, Epidemics, and Population Problems written by Stavros Busenberg and published by Elsevier. This book was released on 2012-12-02 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations and Applications in Ecology, Epidemics, and Population Problems is composed of papers and abstracts presented at the 1981 research conference on Differential Equations and Applications to Ecology, Epidemics, and Population Problems held at Harvey Mudd College. The reported researches consist of mathematics that is either a direct outgrowth from questions in population biology and biomathematics, or applicable to such questions. The content of this volume are collected in four groups. The first group addresses aspects of population dynamics that involve the interaction between spatial and temporal effects. The second group covers other questions in population dynamics and some other areas of biomathematics. The third group deals with topics in differential and functional differential equations that are continuing to find important applications in mathematical biology. The last group comprises of work on various aspects of differential equations and dynamical systems, not essentially motivated by biological applications. This book is valuable to students and researchers in theoretical biology and biomathematics, as well as to those interested in modern applications of differential equations.

Mathematics in Biology and Medicine

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Publisher : Springer Science & Business Media
ISBN 13 : 3642932878
Total Pages : 543 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Mathematics in Biology and Medicine by : Vincenzo Capasso

Download or read book Mathematics in Biology and Medicine written by Vincenzo Capasso and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bio Mathematics

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Author :
Publisher : Krishna Prakashan Media
ISBN 13 : 9788182830257
Total Pages : 252 pages
Book Rating : 4.8/5 (32 download)

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Book Synopsis Bio Mathematics by :

Download or read book Bio Mathematics written by and published by Krishna Prakashan Media. This book was released on 1977 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: