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Outbreak And Extinction Dynamics In Stochastic Populations
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Book Synopsis Outbreak and Extinction Dynamics in Stochastic Populations by : Garrett T. Nieddu
Download or read book Outbreak and Extinction Dynamics in Stochastic Populations written by Garrett T. Nieddu and published by . This book was released on 2018 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each piece of work herein examines nonlinear population dynamics using methods from deterministic dynamical systems, stochastic processes and statistical mechanics. This dissertation is the compilation of three independent – but related – pieces of work: the first investigates an isolated population that is capable of maintaining multiple carrying capacities; the second project examines a stochastic Ebola model with a zoonotic disease reservoir; and the third looks at a basic disease-invasion model to characterize outbreak vulnerability and the connectedness of supposedly separate populations. Each of these three chapters explore the interplay between interconnected systems, without explicitly modeling the elements that are external to the system of interest. The goal is to take a very large and complex lattice of interconnected biological systems and isolate the necessary components, so that modeling is both practical and utilitarian. These works are done in either an ecological or an epidemiological context, but the results in each chapter can be broadly applied to outbreak, invasion, extinction, and connectedness in stochastic population modeling.
Book Synopsis Stochastic Population and Epidemic Models by : Linda J. S. Allen
Download or read book Stochastic Population and Epidemic Models written by Linda J. S. Allen and published by Springer. This book was released on 2015-08-20 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a summary of the basic theory of branching processes for single-type and multi-type processes. Classic examples of population and epidemic models illustrate the probability of population or epidemic extinction obtained from the theory of branching processes. The first chapter develops the branching process theory, while in the second chapter two applications to population and epidemic processes of single-type branching process theory are explored. The last two chapters present multi-type branching process applications to epidemic models, and then continuous-time and continuous-state branching processes with applications. In addition, several MATLAB programs for simulating stochastic sample paths are provided in an Appendix. These notes originated as part of a lecture series on Stochastics in Biological Systems at the Mathematical Biosciences Institute in Ohio, USA. Professor Linda Allen is a Paul Whitfield Horn Professor of Mathematics in the Department of Mathematics and Statistics at Texas Tech University, USA.
Book Synopsis Equilibrum and extinction in stochastic population dynamics by : H. Roozen
Download or read book Equilibrum and extinction in stochastic population dynamics written by H. Roozen and published by . This book was released on 1986 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Population Dynamics in Ecology and Conservation by : Russell Lande
Download or read book Stochastic Population Dynamics in Ecology and Conservation written by Russell Lande and published by . This book was released on 2010 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Equilibrium and Extinction in Stochastic Population Dynamics by : Henricus Nicolaas Maria Roozen
Download or read book Equilibrium and Extinction in Stochastic Population Dynamics written by Henricus Nicolaas Maria Roozen and published by . This book was released on 1986 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Equilibrium and Extinction in Stochastic Population Dynamics by : H. Roozen
Download or read book Equilibrium and Extinction in Stochastic Population Dynamics written by H. Roozen and published by . This book was released on 1986 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Population Dynamics in Ecology and Conservation by : Russell Lande
Download or read book Stochastic Population Dynamics in Ecology and Conservation written by Russell Lande and published by OUP Oxford. This book was released on 2003 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Demographic and environmental stochasticity -- 2. Extinction dynamics -- 3. Age structure -- 4. Spatial structure -- 5. Population viability analysis -- 6. Sustainable harvesting -- 7. Species diversity -- 8. Community dynamics.
Book Synopsis Stochastic Models for Structured Populations by : Sylvie Meleard
Download or read book Stochastic Models for Structured Populations written by Sylvie Meleard and published by Springer. This book was released on 2015-09-03 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes. Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic and mutational parameters, and possible interactions between individuals. Many quantitative parameters appear in these models and several relevant normalizations are considered, leading to infinite-dimensional deterministic or stochastic large-population approximations. Biologically relevant questions are considered, such as extinction criteria, the effect of large birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample of individuals. These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France). Vincent Bansaye and Sylvie Méléard are Professors at Ecole Polytechnique (France). They are a specialists of branching processes and random particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution.
Book Synopsis Population Growth and Extinction in Stochastic Environments by : Donald Edmund Strebel
Download or read book Population Growth and Extinction in Stochastic Environments written by Donald Edmund Strebel and published by . This book was released on 1980 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Population Processes by : Eric Renshaw
Download or read book Stochastic Population Processes written by Eric Renshaw and published by Oxford University Press. This book was released on 2015 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reference text presenting stochastic processes and a range of approximation and simulation techniques for extracting behavioural information in the context of stochastic population dynamics.
Book Synopsis Epidemic Dynamics, Disease Extinction and Critical Community Size in Homogeneously Mixed and Network Populations by : Ioannis Taxidis
Download or read book Epidemic Dynamics, Disease Extinction and Critical Community Size in Homogeneously Mixed and Network Populations written by Ioannis Taxidis and published by . This book was released on 2007 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis How Extreme Events Can Affect a Seemingly Stabilized Population: a Stochastic Rendition of Ricker’s Model by : S. Bhattacharya
Download or read book How Extreme Events Can Affect a Seemingly Stabilized Population: a Stochastic Rendition of Ricker’s Model written by S. Bhattacharya and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our paper computationally explores Ricker’s predator satiation model with the objective of studying how the extinction dynamics of an animal species having a two-stage lifecycle is affected by a sudden spike in mortality due to an extraneous extreme event.
Book Synopsis Stochastic Population Models in Ecology and Epidemiology by : Maurice Stevenson Bartlett
Download or read book Stochastic Population Models in Ecology and Epidemiology written by Maurice Stevenson Bartlett and published by . This book was released on 1960 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complex Population Dynamics: Nonlinear Modeling In Ecology, Epidemiology And Genetics by : Bernd Blasius
Download or read book Complex Population Dynamics: Nonlinear Modeling In Ecology, Epidemiology And Genetics written by Bernd Blasius and published by World Scientific. This book was released on 2007-09-24 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of review articles is devoted to the modeling of ecological, epidemiological and evolutionary systems. Theoretical mathematical models are perhaps one of the most powerful approaches available for increasing our understanding of the complex population dynamics in these natural systems. Exciting new techniques are currently being developed to meet this challenge, such as generalized or structural modeling, adaptive dynamics or multiplicative processes. Many of these new techniques stem from the field of nonlinear dynamics and chaos theory, where even the simplest mathematical rule can generate a rich variety of dynamical behaviors that bear a strong analogy to biological populations.
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.
Book Synopsis Ecology, Genetics and Evolution of Metapopulations by : Ilkka A. Hanski
Download or read book Ecology, Genetics and Evolution of Metapopulations written by Ilkka A. Hanski and published by Academic Press. This book was released on 2004-05-17 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ecology, Genetics and Evolution of Metapopulations is acollection of specially commissioned articles that looks at fragmented habitats, bringing together recent theoretical advances and empirical studies applying the metapopulation approach. Several chapters closely integrate ecology with genetics and evolutionary biology, and others illustrate how metapopulation concepts and models can be applied to answer questions about conservation, epidemiology, and speciation. The extensive coverage of theory from highly regarded scientists and the many substantive applications in this one-of-a-kind work make it invaluable to graduate students and researchers in a wide range of disciplines. Provides a comprehensive and authoritative account of all aspects of metapopulation biology, integrating ecology, genetics, and evolution Developed by recognized experts, including Hanski who won the Balzan Prize for Ecological Sciences Covers novel applications of the metapopulation approach to conservation
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.
