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Differential Equations Models in Biology, Epidemiology and Ecology
Proceedings of a Conference held in Claremont California, January 13-16, 1990
The meeting explored current directions of research in population problems, epidemiology and ecology and celebrated the contributions of Kenneth Cooke to this field on the occasion of his 65th birthday. The volume contains a keynote paper by Simon Levin where he raises and discusses the question of how much detail is relevant in a variety of efforts to model and analyze biological phenomena. The research contributions which form the bulk of the volume are collected in three sections titled: Mathematical Biology, Epidemiology and Ecology and Population Dynamics. These articles contain original results which individually extend their particular research topics. In each of the sections, the collection of expert contributions serve to delineate current research frontiers and point out the major modern research trends of the field. A companion volume in the mathematics series (LN in Mathematics, Vol. 1475) contains contributions on delay differential equations and related dynamical systems.
From the Contents: S. Levin: The Problem of Relevant Detail -- F. Brauer: Models for the Spread of Universally Fatal Diseases II -- S. Busenberg, P. van den Driessche: Nonexistence of Periodic Solutions for a Class of Epidemiological Models -- A. Pugliese: An S-E-I Epidemic Model with Varying Population Size -- H. Thieme: Stability Change of the Endemic Equilibrium in Age-Structured Models for the Spread of S-I-R Type Infectious Diseases -- E. Beretta, A. Fasano: A Mathematical Model for the Dynamics of a Phytoplankton Population -- J. Cushing: Some Delay Models for Juvenile vs. Adult Competition.
edited by Stavros Busenberg, Mario Martelli.