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

Deepen scholars’ figuring out of organic phenomena

Suitable for classes on differential equations with functions to mathematical biology or as an advent to mathematical biology, Differential Equations and Mathematical Biology, moment Edition introduces scholars within the actual, mathematical, and organic sciences to basic modeling and analytical options used to appreciate organic phenomena. during this version, the various chapters were increased to incorporate new and topical material.

New to the second one Edition

  • A part on spiral waves

  • Recent advancements in tumor biology

  • More at the numerical resolution of differential equations and numerical bifurcation analysis

  • MATLAB® records to be had for obtain online

  • Many extra examples and workouts

This textbook exhibits how first-order traditional differential equations (ODEs) are used to version the expansion of a inhabitants, the management of substances, and the mechanism wherein residing cells divide. The authors current linear ODEs with consistent coefficients, expand the idea to platforms of equations, version organic phenomena, and supply suggestions to first-order independent platforms of nonlinear differential equations utilizing the Poincaré section aircraft. additionally they learn the heart beat, nerve impulse transmission, chemical reactions, and predator–prey difficulties. After protecting partial differential equations and evolutionary equations, the publication discusses diffusion techniques, the idea of bifurcation, and chaotic habit. It concludes with difficulties of tumor progress and the unfold of infectious diseases.

Show description

Read Online or Download Differential Equations and Mathematical Biology, Second Edition (Chapman & Hall/CRC Mathematical and Computational Biology) PDF

Best differential equations books

Solution Techniques for Elementary Partial Differential Equations, Second Edition (Chapman Hall/CRC Mathematics Series)

Incorporating a few improvements, answer suggestions for trouble-free Partial Differential Equations, moment variation provides one of the most very important and generic equipment for fixing partial differential equations (PDEs). The thoughts lined comprise separation of variables, approach to features, eigenfunction enlargement, Fourier and Laplace changes, Green’s services, perturbation equipment, and asymptotic research.

The Universality of the Radon Transform (Oxford Mathematical Monographs)

Written by way of a number one pupil in arithmetic, this monograph discusses the Radon rework, a box that has extensive ranging purposes to X-ray know-how, partial differential equations, nuclear magnetic resonance scanning, and tomography. during this e-book, Ehrenpreis specializes in fresh study and highlights the powerful dating among high-level natural arithmetic and purposes of the Radon remodel to parts corresponding to clinical imaging.

Abstract Parabolic Evolution Equations and their Applications (Springer Monographs in Mathematics)

This monograph is meant to give the basics of the speculation of summary parabolic evolution equations and to teach tips to observe to varied nonlinear dif- sion equations and structures bobbing up in technology. the speculation supplies us a uni? ed and s- tematic remedy for concrete nonlinear diffusion types.

Scientific Computing and Differential Equations: An Introduction to Numerical Methods

Medical Computing and Differential Equations: An creation to Numerical tools, is a wonderful supplement to advent to Numerical tools by means of Ortega and Poole. The e-book emphasizes the significance of fixing differential equations on a working laptop or computer, which includes a wide a part of what has grow to be referred to as clinical computing.

Extra info for Differential Equations and Mathematical Biology, Second Edition (Chapman & Hall/CRC Mathematical and Computational Biology)

Example text

Download PDF sample

Rated 4.79 of 5 – based on 11 votes