Population Biology
Population Biology

Author: Alan Hastings

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 228

ISBN-13: 1475727313

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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.

Mathematics in Population Biology
Mathematics in Population Biology

Author: Horst R. Thieme

Publisher: Princeton University Press

Published: 2018-06-05

Total Pages: 564

ISBN-13: 0691187657

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The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with an emphasis on helping the reader develop appropriate modeling skills through use of well-chosen and varied examples. Part I starts with unstructured single species population models, particularly in the framework of continuous time models, then adding the most rudimentary stage structure with variable stage duration. The theme of stage structure in an age-dependent context is developed in Part II, covering demographic concepts, such as life expectation and variance of life length, and their dynamic consequences. In Part III, the author considers the dynamic interplay of host and parasite populations, i.e., the epidemics and endemics of infectious diseases. The theme of stage structure continues here in the analysis of different stages of infection and of age-structure that is instrumental in optimizing vaccination strategies. Each section concludes with exercises, some with solutions, and suggestions for further study. The level of mathematics is relatively modest; a "toolbox" provides a summary of required results in differential equations, integration, and integral equations. In addition, a selection of Maple worksheets is provided. The book provides an authoritative tour through a dazzling ensemble of topics and is both an ideal introduction to the subject and reference for researchers.

The Evolution of Population Biology
The Evolution of Population Biology

Author: Rama S. Singh

Publisher: Cambridge University Press

Published: 2004-01-15

Total Pages: 492

ISBN-13: 1139449540

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This 2004 collection of essays deals with the foundation and historical development of population biology and its relationship to population genetics and population ecology on the one hand and to the rapidly growing fields of molecular quantitative genetics, genomics and bioinformatics on the other. Such an interdisciplinary treatment of population biology has never been attempted before. The volume is set in a historical context, but it has an up-to-date coverage of material in various related fields. The areas covered are the foundation of population biology, life history evolution and demography, density and frequency dependent selection, recent advances in quantitative genetics and bioinformatics, evolutionary case history of model organisms focusing on polymorphisms and selection, mating system evolution and evolution in the hybrid zones, and applied population biology including conservation, infectious diseases and human diversity. This is the third of three volumes published in honour of Richard Lewontin.

Dynamical Systems in Population Biology
Dynamical Systems in Population Biology

Author: Xiao-Qiang Zhao

Publisher: Springer Science & Business Media

Published: 2013-06-05

Total Pages: 285

ISBN-13: 0387217614

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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.

Mathematical Models in Population Biology and Epidemiology
Mathematical Models in Population Biology and Epidemiology

Author: Fred Brauer

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 432

ISBN-13: 1475735162

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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.

Natural Enemies
Natural Enemies

Author: Michael J. Crawley

Publisher: John Wiley & Sons

Published: 2009-07-30

Total Pages: 592

ISBN-13: 1444314068

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This book is about disease and death. It is an ecologist's view of Darwin's vivid evocation of Nature, red in tooth and claw. An international team of authors examines broad patterns in the population biology of natural enemies, and addresses general questions about the role of natural enemies in the population dynamics and evolution of their prey. For instance, how do large natural enemies like wolves differ from small natural enemies like bacterial diseases in their effects on prey abundance? Is it better to chase after prey, or sit and wait for it to come to you? How should prey behave in order to minimize the risk of being eaten? The answers are all in this fascinating senior undergraduate/postgraduate text.

Introduction to Population Biology
Introduction to Population Biology

Author: Dick Neal

Publisher: Cambridge University Press

Published: 2004

Total Pages: 410

ISBN-13: 9780521532235

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Provides a quantitative and Darwinian perspective on population biology, with problem sets, simulations and worked examples to aid the student.

Complex Population Dynamics
Complex Population Dynamics

Author: Peter Turchin

Publisher: Princeton University Press

Published: 2003-02-02

Total Pages: 470

ISBN-13: 0691090211

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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.

Primer Of Population Biology
Primer Of Population Biology

Author: Edward O. Wilson

Publisher: Sinauer

Published: 1971

Total Pages: 196

ISBN-13:

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How to learn population biology. Population genetics. Ecology. Biogeography: species equilibrium theory.