D. S. Jones, Michael Plank, B. D. Sleeman

Differential Equations and Mathematical Biology (eBook, PDF)

• Format: PDF

Produktbeschreibung

Ideal for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, this bestselling text introduces the fundamental modeling and analytical techniques used to understand biological phenomena. It discusses the modeling of biological behavior, including biochemical reactions, nerve pulses, predator-prey models, and epidemics. This edition includes a section on spiral waves, developments in tumor biology, and additional examples and exercises. With downloadable MATLAB files available online, it presents numerical solutions of differential equations and numerical bifurcation analysis.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 462
• Erscheinungstermin: 9. November 2009
• Englisch
• ISBN-13: 9781420083583
• Artikelnr.: 57160497

Autorenporträt

D.S. Jones, FRS, FRSE is Professor Emeritus in the Department of Mathematics at the University of Dundee in Scotland.

M.J. Plank is a senior lecturer in the Department of Mathematics and Statistics at the University of Canterbury in Christchurch, New Zealand.

B.D. Sleeman, FRSE is Professor Emeritus in the Department of Applied Mathematics at the University of Leeds in the UK.

Inhaltsangabe

Introduction. Linear Ordinary Differential Equations with Constant
Coefficients. Systems of Linear Ordinary Differential Equations. Modelling
Biological Phenomena. First-Order Systems of Ordinary Differential
Equations. Mathematics of Heart Physiology. Mathematics of Nerve Impulse
Transmission. Chemical Reactions. Predator and Prey. Partial Differential
Equations. Evolutionary Equations. Problems of Diffusion. Bifurcation and
Chaos. Numerical Bifurcation Analysis. Growth of Tumors. Epidemics. Answers
to Selected Exercises. Index.