Full Description
Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease model, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.
Contents
Mathematical Studies of Dynamics and Evolution of Infectious Diseases.- Basic Knowledge and Developing Tendencies in Epidemic Dynamics.- Delayed SIR Epidemic Models for Vector Diseases?.- Epidemic Models with Population Dispersal.- Spatial-Temporal Dynamics in Nonlocal Epidemiological Models.- Pathogen Competition and Coexistence and the Evolution of Virulence.- Directional Evolution of Virus Within a Host Under Immune Selection.- Stability Analysis of a Mathematical Model of the Immune Response with Delays.- Modeling Cancer Treatment Using Competition: A Survey.
