Dynamical Systems for Biological Modeling

An Introduction

AvFred Brauer,Christopher Kribs

Inbunden, Engelska, 2015

Del i serien Advances in Applied Mathematics

1 799 kr

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Beskrivning

Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems.The approach emphasizes qualitative ideas rather than explicit computations. Some technical details are necessary, but a qualitative approach emphasizing ideas is essential for understanding. The modeling approach helps students focus on essentials rather than extensive mathematical details, which is helpful for students whose primary interests are in sciences other than mathematics need or want.The book discusses a variety of biological modeling topics, including population biology, epidemiology, immunology, intraspecies competition, harvesting, predator-prey systems, structured populations, and more.The authors also include examples of problems with solutions and some exercises which follow the examples quite closely. In addition, problems are included which go beyond the examples, both in mathematical analysis and in the development of mathematical models for biological problems, in order to encourage deeper understanding and an eagerness to use mathematics in learning about biology.

Produktinformation

Utgivningsdatum:2015-12-22
Mått:156 x 234 x 32 mm
Vikt:860 g
Format:Inbunden
Språk:Engelska
Serie:Advances in Applied Mathematics
Antal sidor:492
Förlag:Taylor & Francis Ltd
ISBN:9781420066418

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Fred Brauer, PhD, University of British Columbia, Vancouver, CanadaChristopher Kribs, PhD, University of Texas at Arlington, USA

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Innehållsförteckning

ELEMENTARY TOPICS. Introduction to Biological Modeling. Difference Equations (Discrete Dynamical Systems). First-Order Differential Equations (Continuous Dynamical Systems). Nonlinear Differential Equations. MORE ADVANCED TOPICS. Systems of Differential Equations. Topics in Modeling Systems of Populations. Systems with Sustained Oscillations and Singularities. APPENDICES. An Introduction to the Use of MapleTM. Taylor’s Theorem and Linearization. Location of Roots of Polynomial Equations. Stability of Equilibrium of Difference Equations. Answers to Selected Exercises. Bibliography.

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