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Differential Equations and Mathematical Biology, Second Edition
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Differential Equations and Mathematical Biology, Second Edition (Hardback)

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Synopsis

Deepen students' understanding of biological phenomena





Suitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeling and analytical techniques used to understand biological phenomena. In this edition, many of the chapters have been expanded to include new and topical material.











New to the Second Edition

















A section on spiral waves

Recent developments in tumor biology

More on the numerical solution of differential equations and numerical bifurcation analysis

MATLAB (R) files available for download online

Many additional examples and exercises

















This textbook shows how first-order ordinary differential equations (ODEs) are used to model the growth of a population, the administration of drugs, and the mechanism by which living cells divide. The authors present linear ODEs with constant coefficients, extend the theory to systems of equations, model biological phenomena, and offer solutions to first-order autonomous systems of nonlinear differential equations using the Poincare phase plane. They also analyze the heartbeat, nerve impulse transmission, chemical reactions, and predator-prey problems. After covering partial differential equations and evolutionary equations, the book discusses diffusion processes, the theory of bifurcation, and chaotic behavior. It concludes with problems of tumor growth and the spread of infectious diseases.

Science & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equations Publisher: Taylor & Francis Ltd Publication Date: 12/11/2009 ISBN-13: 9781420083576  Details: Type: Hardback Format: Books
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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.

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