Modelling Biological Populations In Space And Time

Modelling Biological Populations In Space And Time Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Modelling Biological Populations In Space And Time book. This book definitely worth reading, it is an incredibly well-written.

Modelling Biological Populations in Space and Time

Eric Renshaw
Modelling Biological Populations in Space and Time Book PDF

Author : Eric Renshaw
Publisher : Cambridge University Press
Page : 428 pages
File Size : 49,5 Mb
Release : 1993-08-26
Category : Mathematics
ISBN : 0521448557

Get Book

Modelling Biological Populations in Space and Time by Eric Renshaw Pdf

This volume develops a unifying approach to population studies, emphasising the interplay between modelling and experimentation. Throughout, mathematicians and biologists are provided with a framework within which population dynamics can be fully explored and understood. Aspects of population dynamics covered include birth-death and logistic processes, competition and predator-prey relationships, chaos, reaction time-delays, fluctuating environments, spatial systems, velocities of spread, epidemics, and spatial branching structures. Both deterministic and stochastic models are considered. Whilst the more theoretically orientated sections will appeal to mathematical biologists, the material is presented so that readers with little mathematical expertise can bypass these without losing the main flow of the text.

Modelling Population Dynamics

K. B. Newman,S. T. Buckland,B. J. T. Morgan,R. King,D. L. Borchers,D. J. Cole,P. Besbeas,O. Gimenez,L. Thomas
Modelling Population Dynamics Book PDF

Author : K. B. Newman,S. T. Buckland,B. J. T. Morgan,R. King,D. L. Borchers,D. J. Cole,P. Besbeas,O. Gimenez,L. Thomas
Publisher : Springer
Page : 215 pages
File Size : 49,5 Mb
Release : 2014-07-16
Category : Medical
ISBN : 9781493909773

Get Book

Modelling Population Dynamics by K. B. Newman,S. T. Buckland,B. J. T. Morgan,R. King,D. L. Borchers,D. J. Cole,P. Besbeas,O. Gimenez,L. Thomas Pdf

This book gives a unifying framework for estimating the abundance of open populations: populations subject to births, deaths and movement, given imperfect measurements or samples of the populations. The focus is primarily on populations of vertebrates for which dynamics are typically modelled within the framework of an annual cycle, and for which stochastic variability in the demographic processes is usually modest. Discrete-time models are developed in which animals can be assigned to discrete states such as age class, gender, maturity, population (within a metapopulation), or species (for multi-species models). The book goes well beyond estimation of abundance, allowing inference on underlying population processes such as birth or recruitment, survival and movement. This requires the formulation and fitting of population dynamics models. The resulting fitted models yield both estimates of abundance and estimates of parameters characterizing the underlying processes.

Introduction to Population Modeling

J.C. Frauenthal
Introduction to Population Modeling Book PDF

Author : J.C. Frauenthal
Publisher : Springer Science & Business Media
Page : 195 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468473223

Get Book

Introduction to Population Modeling by J.C. Frauenthal Pdf

The text of this monograph represents the author's lecture notes from a course taught in the Department of Applied Mathematics and Statistics at the State University of New York at Stony Brook in the Spring of 1977. On account of its origin as lecture notes, some sections of the text are telegraphic in style while other portions are overly detailed. This stylistic foible has not been modified as it does not appear to detract seriously from the readability and it does help to indicate which topics were stressed. The audience for the course at Stony Brook was composed almost entirely of fourth year undergraduates majoring in the mathematical sciences. All of these students had studied at least four semesters of calculus and one of probability; few had any prior experience with either differential equations or ecology. It seems prudent to point out that the author's background is in engineering and applied mathematics and not in the biological sciences. It is hoped that this is not painfully obvious. -vii- The focus of the monograph is on the formulation and solution of mathematical models; it makes no pretense of being a text in ecology. The idea of a population is employed mainly as a pedagogic tool, providing unity and intuitive appeal to the varied mathematical ideas introduced. If the biological setting is stripped away, what remains can be interpreted as topics on the qualitative behavior of differential and difference equations.

Spatial Dynamics and Pattern Formation in Biological Populations

Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Spatial Dynamics and Pattern Formation in Biological Populations Book PDF

Author : Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Publisher : CRC Press
Page : 280 pages
File Size : 43,6 Mb
Release : 2021-02-24
Category : Mathematics
ISBN : 9781000334357

Get Book

Spatial Dynamics and Pattern Formation in Biological Populations by Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar Pdf

The book provides an introduction to deterministic (and some stochastic) modeling of spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the classical models in the fields with up to date applications is given. The book begins with detailed description of how spatial dynamics/diffusive processes influence the dynamics of biological populations. These processes play a key role in understanding the outbreak and spread of pandemics which help us in designing the control strategies from the public health perspective. A brief discussion on the functional mechanism of the brain (single neuron models and network level) with classical models of neuronal dynamics in space and time is given. Relevant phenomena and existing modeling approaches in ecology, epidemiology and neuroscience are introduced, which provide examples of pattern formation in these models. The analysis of patterns enables us to study the dynamics of macroscopic and microscopic behaviour of underlying systems and travelling wave type patterns observed in dispersive systems. Moving on to virus dynamics, authors present a detailed analysis of different types models of infectious diseases including two models for influenza, five models for Ebola virus and seven models for Zika virus with diffusion and time delay. A Chapter is devoted for the study of Brain Dynamics (Neural systems in space and time). Significant advances made in modeling the reaction-diffusion systems are presented and spatiotemporal patterning in the systems is reviewed. Development of appropriate mathematical models and detailed analysis (such as linear stability, weakly nonlinear analysis, bifurcation analysis, control theory, numerical simulation) are presented. Key Features Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Concepts are introduced in such a way that readers with a basic knowledge of differential equations and numerical methods can understand the analysis. The results are also illustrated with figures. Focuses on mathematical modeling and numerical simulations using basic conceptual and classic models of population dynamics, Virus and Brain dynamics. Covers wide range of models using spatial and non-spatial approaches. Covers single, two and multispecies reaction-diffusion models from ecology and models from bio-chemistry. Models are analysed for stability of equilibrium points, Turing instability, Hopf bifurcation and pattern formations. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises. The Book is suitable for advanced undergraduate, graduate and research students. For those who are working in the above areas, it provides information from most of the recent works. The text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.

Stability in Model Populations (MPB-31)

Laurence D. Mueller,Amitabh Joshi
Stability in Model Populations MPB 31 Book PDF

Author : Laurence D. Mueller,Amitabh Joshi
Publisher : Princeton University Press
Page : 334 pages
File Size : 49,8 Mb
Release : 2020-03-31
Category : Science
ISBN : 9780691209944

Get Book

Stability in Model Populations (MPB-31) by Laurence D. Mueller,Amitabh Joshi Pdf

Throughout the twentieth century, biologists investigated the mechanisms that stabilize biological populations, populations which--if unchecked by such agencies as competition and predation--should grow geometrically. How is order in nature maintained in the face of the seemingly disorderly struggle for existence? In this book, Laurence Mueller and Amitabh Joshi examine current theories of population stability and show how recent laboratory research on model populations--particularly blowflies, Tribolium, and Drosophila--contributes to our understanding of population dynamics and the evolution of stability. The authors review the general theory of population stability and critically analyze techniques for inferring whether a given population is in balance or not. They then show how rigorous empirical research can reveal both the proximal causes of stability (how populations are regulated and maintained at an equilibrium, including the relative roles of biotic and abiotic factors) and its ultimate, mostly evolutionary causes. In the process, they describe experimental studies on model systems that address the effects of age-structure, inbreeding, resource levels, and population structure on the stability and persistence of populations. The discussion incorporates the authors' own findings on the evolution of population stability in Drosophila. They go on to relate laboratory work to studies of animals in the wild and to develop a general framework for relating the life history and ecology of a species to its population dynamics. This accessible, finely written illustration of how carefully designed experiments can improve theory will have tremendous value for all ecologists and evolutionary biologists.

Modelling Population Dynamics

K. B. Newman
Modelling Population Dynamics Book PDF

Author : K. B. Newman
Publisher : Unknown
Page : 215 pages
File Size : 54,9 Mb
Release : 2014
Category : Population
ISBN : 1493909789

Get Book

Modelling Population Dynamics by K. B. Newman Pdf

This book gives a unifying framework for estimating the abundance of open populations: populations subject to births, deaths and movement, given imperfect measurements or samples of the populations. The focus is primarily on populations of vertebrates for which dynamics are typically modelled within the framework of an annual cycle, and for which stochastic variability in the demographic processes is usually modest. Discrete-time models are developed in which animals can be assigned to discrete states such as age class, gender, maturity, population (within a metapopulation), or species (for multi-species models). The book goes well beyond estimation of abundance, allowing inference on underlying population processes such as birth or recruitment, survival and movement. This requires the formulation and fitting of population dynamics models. The resulting fitted models yield both estimates of abundance and estimates of parameters characterizing the underlying processes.

Stochastic Models for Structured Populations

Sylvie Meleard,Vincent Bansaye
Stochastic Models for Structured Populations Book PDF

Author : Sylvie Meleard,Vincent Bansaye
Publisher : Springer
Page : 107 pages
File Size : 42,6 Mb
Release : 2015-09-03
Category : Mathematics
ISBN : 9783319217116

Get Book

Stochastic Models for Structured Populations by Sylvie Meleard,Vincent Bansaye Pdf

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.

Stochastic Population Processes

Eric Renshaw
Stochastic Population Processes Book PDF

Author : Eric Renshaw
Publisher : OUP Oxford
Page : 664 pages
File Size : 44,8 Mb
Release : 2015-03-19
Category : Mathematics
ISBN : 9780191060397

Get Book

Stochastic Population Processes by Eric Renshaw Pdf

The vast majority of random processes in the real world have no memory - the next step in their development depends purely on their current state. Stochastic realizations are therefore defined purely in terms of successive event-time pairs, and such systems are easy to simulate irrespective of their degree of complexity. However, whilst the associated probability equations are straightforward to write down, their solution usually requires the use of approximation and perturbation

Encyclopedia of Ecology

Brian D. Fath
Encyclopedia of Ecology Book PDF

Author : Brian D. Fath
Publisher : Elsevier
Page : 2786 pages
File Size : 55,6 Mb
Release : 2018-08-23
Category : Science
ISBN : 9780444641304

Get Book

Encyclopedia of Ecology by Brian D. Fath Pdf

Encyclopedia of Ecology, Second Edition, Four Volume Set continues the acclaimed work of the previous edition published in 2008. It covers all scales of biological organization, from organisms, to populations, to communities and ecosystems. Laboratory, field, simulation modelling, and theoretical approaches are presented to show how living systems sustain structure and function in space and time. New areas of focus include micro- and macro scales, molecular and genetic ecology, and global ecology (e.g., climate change, earth transformations, ecosystem services, and the food-water-energy nexus) are included. In addition, new, international experts in ecology contribute on a variety of topics. Offers the most broad-ranging and comprehensive resource available in the field of ecology Provides foundational content and suggests further reading Incorporates the expertise of over 500 outstanding investigators in the field of ecology, including top young scientists with both research and teaching experience Includes multimedia resources, such as an Interactive Map Viewer and links to a CSDMS (Community Surface Dynamics Modeling System), an open-source platform for modelers to share and link models dealing with earth system processes

Redesigning Animal Agriculture

David Lloyd Swain
Redesigning Animal Agriculture Book PDF

Author : David Lloyd Swain
Publisher : CABI
Page : 245 pages
File Size : 40,6 Mb
Release : 2007
Category : Technology & Engineering
ISBN : 9781845932237

Get Book

Redesigning Animal Agriculture by David Lloyd Swain Pdf

At a time of increased concern over animal welfare and environmental degradation, the global demand for animal-based protein is necessitating the development and use of emerging agricultural technology. Focusing on livestock production systems, this comprehensive text addresses how the growing diversity of global food demands will be met in the future, providing insights into new and emerging scientific areas and the implications for addressing global drivers for change. Contributions from a wealth of international experts cover ethical, philosophical and systemic considerations, the impact of genomics on livestock production, the holistic systems perspective, the complex systems approach using stochastic modelling methods, and how all these factors can be linked to achieve sustainable outcomes.

Population and Community Ecology for Insect Management and Conservation

Johann Baumgartner,Pietro Brandmayr,Bryan F.J. Manly
Population and Community Ecology for Insect Management and Conservation Book PDF

Author : Johann Baumgartner,Pietro Brandmayr,Bryan F.J. Manly
Publisher : CRC Press
Page : 268 pages
File Size : 54,5 Mb
Release : 2020-03-09
Category : Science
ISBN : 9781000673654

Get Book

Population and Community Ecology for Insect Management and Conservation by Johann Baumgartner,Pietro Brandmayr,Bryan F.J. Manly Pdf

One of the themes of the 20th International Congress of Entomology held in Florence in August 1996 was Ecology and Population Dynamics, with papers presented on single species dynamics, population interactions, and community ecology. This book contains a selection of the papers that were presented, and gives a late-1990s picture of the latest research in this fast developing area.

Individual-based Modeling and Ecology

Volker Grimm,Steven F. Railsback
Individual based Modeling and Ecology Book PDF

Author : Volker Grimm,Steven F. Railsback
Publisher : Princeton University Press
Page : 445 pages
File Size : 48,5 Mb
Release : 2013-11-28
Category : Science
ISBN : 9781400850624

Get Book

Individual-based Modeling and Ecology by Volker Grimm,Steven F. Railsback Pdf

Individual-based models are an exciting and widely used new tool for ecology. These computational models allow scientists to explore the mechanisms through which population and ecosystem ecology arises from how individuals interact with each other and their environment. This book provides the first in-depth treatment of individual-based modeling and its use to develop theoretical understanding of how ecological systems work, an approach the authors call "individual-based ecology.? Grimm and Railsback start with a general primer on modeling: how to design models that are as simple as possible while still allowing specific problems to be solved, and how to move efficiently through a cycle of pattern-oriented model design, implementation, and analysis. Next, they address the problems of theory and conceptual framework for individual-based ecology: What is "theory"? That is, how do we develop reusable models of how system dynamics arise from characteristics of individuals? What conceptual framework do we use when the classical differential equation framework no longer applies? An extensive review illustrates the ecological problems that have been addressed with individual-based models. The authors then identify how the mechanics of building and using individual-based models differ from those of traditional science, and provide guidance on formulating, programming, and analyzing models. This book will be helpful to ecologists interested in modeling, and to other scientists interested in agent-based modeling.

Biological Environmental Science

William V Dashek
Biological Environmental Science Book PDF

Author : William V Dashek
Publisher : CRC Press
Page : 352 pages
File Size : 49,7 Mb
Release : 2019-04-29
Category : Science
ISBN : 9780429526640

Get Book

Biological Environmental Science by William V Dashek Pdf

Biological Environmental Science is an introductory textbook for undergraduate students who desire a one semester course or, alternatively, a springboard course for advanced environmental offerings. This book features timely issues such as global warming, air, ground and water pollutions, population growth, species extinction and environmental poli

A Practical Guide to Ecological Modelling

Karline Soetaert,Peter M. J. Herman
A Practical Guide to Ecological Modelling Book PDF

Author : Karline Soetaert,Peter M. J. Herman
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 54,5 Mb
Release : 2008-10-14
Category : Science
ISBN : 9781402086243

Get Book

A Practical Guide to Ecological Modelling by Karline Soetaert,Peter M. J. Herman Pdf

Mathematical modelling is an essential tool in present-day ecological research. Yet for many ecologists it is still problematic to apply modelling in their research. In our experience, the major problem is at the conceptual level: proper understanding of what a model is, how ecological relations can be translated consistently into mathematical equations, how models are solved, steady states calculated and interpreted. Many textbooks jump over these conceptual hurdles to dive into detailed formulations or the mathematics of solution. This book attempts to fill that gap. It introduces essential concepts for mathematical modelling, explains the mathematics behind the methods, and helps readers to implement models and obtain hands-on experience. Throughout the book, emphasis is laid on how to translate ecological questions into interpretable models in a practical way. The book aims to be an introductory textbook at the undergraduate-graduate level, but will also be useful to seduce experienced ecologists into the world of modelling. The range of ecological models treated is wide, from Lotka-Volterra type of principle-seeking models to environmental or ecosystem models, and including matrix models, lattice models and sequential decision models. All chapters contain a concise introduction into the theory, worked-out examples and exercises. All examples are implemented in the open-source package R, thus taking away problems of software availability for use of the book. All code used in the book is available on a dedicated website.

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

Sarah P. Otto,Troy Day
A Biologist s Guide to Mathematical Modeling in Ecology and Evolution Book PDF

Author : Sarah P. Otto,Troy Day
Publisher : Princeton University Press
Page : 746 pages
File Size : 42,6 Mb
Release : 2007-03-12
Category : Mathematics
ISBN : 9780691123448

Get Book

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution by Sarah P. Otto,Troy Day Pdf

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