Mathematical Models in Population Biology and Epidemiology PDF Download

Author: Fred Brauer
Publisher: Springer Science & Business Media
ISBN: 1475735162
Category : Science
Languages : en
Pages : 432

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Book Description
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.

Author: Saber Elaydi
Publisher: Springer Nature
ISBN: 303125225X
Category : Mathematics
Languages : en
Pages : 534

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Book Description
​This book comprises selected papers of the 26th International Conference on Difference Equations and Applications, ICDEA 2021, held virtually at the University of Sarajevo, Bosnia and Herzegovina, in July 2021. The book includes the latest and significant research and achievements in difference equations, discrete dynamical systems, and their applications in various scientific disciplines. The book is interesting for Ph.D. students and researchers who want to keep up to date with the latest research, developments, and achievements in difference equations, discrete dynamical systems, and their applications, the real-world problems.

Author: J. Maynard Smith
Publisher:
ISBN:
Category : Medical
Languages : en
Pages : 170

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Book Description
"An introduction to some of the mathematical ideas which are useful to biologists, ... the ways in which biological problems can be expressed mathematically, and how the mathematical equations which arise in biological work can be solved ... This book is particularly concerned with non-statistical topics"--From publisher description.

Author: J. Impagliazzo
Publisher: Springer Science & Business Media
ISBN: 364282319X
Category : Mathematics
Languages : en
Pages : 195

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Book Description
Mathematical Demography, the study of population and its analysis through mathematical models, has received increased interest in the mathematical com munity in recent years. It was not until the twentieth century, however, that the study of population, predominantly human population, achieved its math ematical character. The subject of mathematical demography can be viewed from either a deterministic viewpoint or from a stochastic viewpoint. For the sake of brevity, stochastic models are not included in this work. It is, therefore, my intention to consider only established deterministic models in this discussion, starting with the life table as the earliest model, to a generalized matrix model which is developed in this treatise. These deterministic models provide sufficient de velopment and conclusions to formulate sound mathematical population analy sis and estimates of population projections. It should be noted that although the subject of mathematical demography focuses on human populations, the development and results may be applied to any population as long as the preconditions that make the model valid are maintained. Information concerning mathematical demography is at best fragmented.

Author: Linda Allen
Publisher: World Scientific
ISBN: 9814479217
Category : Mathematics
Languages : en
Pages : 336

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Book Description
Difference Equations or Discrete Dynamical Systems is a diverse field which impacts almost every branch of pure and applied mathematics. Not surprisingly, the techniques that are developed vary just as broadly. No more so is this variety reflected than at the prestigious annual International Conference on Difference Equations and Applications. Organized under the auspices of the International Society of Difference Equations, the Conferences have an international attendance and a wide coverage of topics.The contributions from the conference collected in this volume invite the mathematical community to see a variety of problems and applications with one ingredient in common, the Discrete Dynamical System. Readers may also keep abreast of the many novel techniques and developments in the field.The special emphasis of the meeting was on mathematical biology and accordingly about half of the articles are in the related areas of mathematical ecology and mathematical medicine.

Author: Keith Iain Hopcraft
Publisher: Taylor & Francis
ISBN: 1482227657
Category : Mathematics
Languages : en
Pages : 223

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Book Description
Discrete phenomena are an important aspect of various complex systems, acting both as underlying driving mechanisms and as manifestations of diverse behaviours. However, the characterisation of these discrete phenomena requires models that go beyond those featured in existing books. Largely concerned with mathematical models used to describe time-v

Author: John Maynard-Smith
Publisher: Cambridge University Press
ISBN: 9780521202626
Category : Science
Languages : en
Pages : 164

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Book Description
This book is aimed at anyone with a serious interest in ecology. Ecological models of two kinds are dealt with: mathematical models of a strategic kind aimed at an understanding of the general properties of ecosystems and laboratory models designed with the same aim in view. The mathematical and experimental models illuminate one another. A strength of the account is that although there is a good deal of mathematics, Professor Maynard Smith has concentrated on making clear the assumptions behind the mathematics and the conclusions to be drawn. Proofs and derivations have been omitted as far as possible. The book is therefore comprehensible to anyone with a minimal familiarity with mathematical notation. This book was written in the twin convictions that ecology will not come of age until it has a sound theoretical basis and there is a long way to go before that state of affairs is reached.

Author: Paul Cull
Publisher: Springer Science & Business Media
ISBN: 0387276459
Category : Mathematics
Languages : en
Pages : 399

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Book Description
In this new text, designed for sophomores studying mathematics and computer science, the authors cover the basics of difference equations and some of their applications in computing and in population biology. Each chapter leads to techniques that can be applied by hand to small examples or programmed for larger problems. Along the way, the reader will use linear algebra and graph theory, develop formal power series, solve combinatorial problems, visit Perron—Frobenius theory, discuss pseudorandom number generation and integer factorization, and apply the Fast Fourier Transform to multiply polynomials quickly. The book contains many worked examples and over 250 exercises. While these exercises are accessible to students and have been class-tested, they also suggest further problems and possible research topics.

Author:
Publisher: Princeton University Press
ISBN: 9780691088617
Category : Mathematics
Languages : en
Pages : 304

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Book Description
What makes populations stabilize? What makes them fluctuate? Are populations in complex ecosystems more stable than populations in simple ecosystems? In 1973, Robert May addressed these questions in this classic book. May investigated the mathematical roots of population dynamics and argued-counter to most current biological thinking-that complex ecosystems in themselves do not lead to population stability. Stability and Complexity in Model Ecosystems played a key role in introducing nonlinear mathematical models and the study of deterministic chaos into ecology, a role chronicled in James Gleick's book Chaos. In the quarter century since its first publication, the book's message has grown in power. Nonlinear models are now at the center of ecological thinking, and current threats to biodiversity have made questions about the role of ecosystem complexity more crucial than ever. In a new introduction, the author addresses some of the changes that have swept biology and the biological world since the book's first publication.

Author: James D. Murray
Publisher: Springer Science & Business Media
ISBN: 0387224378
Category : Mathematics
Languages : en
Pages : 551

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Book Description
Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foothold into this dynamic research area.