An Introduction to Mathematical Modeling of Infectious Diseases

This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies. The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis. Matlab codes are also included for numerical implementations.

It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases. Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.

Uses five classic epidemic models to introduce different mathematical methods in model analysis Provides a chapter on general theory of stability analysis for differential equations Includes Matlab codes for numerical implementation Accessible to non-mathematicians

Autorentext

Michael Y. Li is a Professor of Mathematics at the University of Alberta, Canada. His research includes mathematical theory of differential equations and dynamical systems, mathematical modeling of immune systems, and mathematical modeling in public health sciences.

Inhalt
Important Concepts.- Five Classic Examples.- Basic Tools.- Nonlinear Least Squares.- Special Topics.