Ideal for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, this best-selling text introduces the fundamental modeling and analytical techniques used to understand biological phenomena. It discusses the modeling of biological behavior, including the heartbeat cycle, chemical reactions, nerve pulses, predator¿prey models, and epidemics. This expanded edition includes a new section on spiral waves, recent developments in tumor biology, and additional examples and exercises. It also offers more on the numerical solution of differential equations and numerical bifurcation analysis, providing downloadable MATLAB® files online.