Differential Equations and Mathematical Biology (Chapman & Hall CRC mathematical biology and medicine series)

The conjoining of mathematics and biology has brought about significant advances in both areas, with mathematics providing a tool for modelling and understanding biological phenomena and biology stimulating developments in the theory of nonlinear differential equations. The continued application of mathematics to biology holds great promise and in fact may be the applied mathematics of the 21st century. Differential Equations and Mathematical Biology provides a detailed treatment of both ordinary and partial differential equations, techniques for their solution, and their use in a variety of biological applications. The presentation includes the fundamental techniques of nonlinear differential equations, bifurcation theory, and the impact of chaos on discrete time biological modelling. The authors provide generous coverage of numerical techniques and address a range of important applications, including heart physiology, nerve pulse transmission, chemical reactions, tumour growth, and epidemics. This book is the ideal vehicle for introducing the challenges of biology to mathematicians and likewise delivering key mathematical tools to biologists. Carefully designed for such multiple purposes, it serves equally well as a professional reference and as a text for coursework in differential equations, in biological modelling, or in differential equation models of biology for life science students.

a Detailed Treatment Of Ordinary And Partial Differential Equations Is Provided, With A Focus On Their Use In A Variety Of Biological Applications. The Presentation Includes The Fundamental Techniques Of Nonlinear Differential Equations, Bifurcation Theory, And The Impact Of Chaos On Discrete Time Biological Modeling. Applications Discussed Include Tumor Growth And Epidemics. Chapter Exercises Are Included. Jones Is Professor Emeritus Of Mathematics At The University Of Dundee, Scotland. Sleeman Teaches Applied Mathematics At The University Of Leeds, England. Annotation (c)2003 Book News, Inc., Portland, Or

"This book is the ideal vehicle for introducing the challenges of biology to mathematicians and likewise delivering key mathematical tools to biologists. Carefully designed for such multiple purposes, it serves equally well as a professional reference and as a text for coursework in differential equations, in biological modelling, or in differential equation models of biology for life science students."--Jacket A bestseller in its first edition but now long out of print, this book introduces undergraduate students to the developments and key techniques in mathematical biology. It provides comprehensive coverage of the tools of differential equations, including t To indicate why study of differential equations can be useful some simple examples will be considered.