This book describes how stability theory of differential equations is used in the modeling of microbial competition, predator-prey systems, humoral immune response, and dose and cell-cycle effects in radiotherapy, among other areas that involve population biology, and mathematical ecology.
Preface
Contributors
Persistence in Lotka-Volterra Models of Food Chains and Competition
Thomas G. Hallam
Mathematical Models of Humoral Immune Response
Stephen J. Merrill
Mathematical Models of Dose and Cell Cycle Effects in Multifraction Radiotherapy
Howard D. Thames, Jr.
Theoretical and Experimental Investigations of Microbial Competition in Continuous Culture
Paul Saltman
Stephen P. Hubbell
Sze-Bi Hsu
A Liapunov Functional for a class of Reaction-Diffusion Systems
Nicholas D. Alikakos
Stochastic Prey-Predator Relationships
Georges A. Becus
Coexistence in Predator-Prey systems
G. J. Butler
Stability of Some Multispecies Population Models
B. S. Goh
Population Dynamics in Patchy Environments
Alan Hastings
Limit Cycles in a Model of B-Cell Stimulation
Stephen J. Merrill
Optimal age-Specific Harvesting Policy for a Continuous Time-Population Model
Chris Rorres
Wyman Fair
Models Involving Differential and Integral Equations Appropriate for describing a Temperature Dependent Predator-Prey Mite Ecosystem on Apples
David J Wollkind
Alan Hastings
Jesse A. Logan
Biography
T. A. Burton