Differential Equations Models in Biology, Epidemiology and Ecology: Proceedings of a Conference Held in Claremont California, January 13-16, 1990

ISBN-13: 9783540542834 / Angielski / Miękka / 1991 / 267 str.

Stavros Busenberg; Mario Martelli

Opis

Highlighting the question of how much detail is relevant when modelling and analyzing biological phenomena, this volume contains a series of essays which explore current research in population problems and dynamics, epidemiology, ecology and mathematical biology.

Spis treści

Mathematical Biology.- The Problem of Relevant Detail.- Lifespans in Population Models: Using Time Delays.- Convergence to Equilibria in General Models of Unilingual-Bilingual Interactions.- The Sherman-Rinzel-Keizer Model for Bursting Electrical Activity in the Pancreatic ??-Cell.- Epidemiology.- Models for the Spread of Universally Fatal Diseases II.- Nonexistence of Periodic Solutions for a Class of Epidemiological Models.- On the Solution of the Two-Sex Mixing Problem.- Modelling the Effects of Screening in HIV Transmission Dynamics.- An S?E?I Epidemic Model with Varying Population Size.- Stability Change of the Endemic Equilibrium in Age-Structured Models for the Spread of S-I-R Type Infectious Diseases.- Ecology and Population Dynamics.- A Mathematical Model for the Dynamics of a Phytoplankton Population.- Some Delay Models for Juvenile vs. Adult Competition.- McKendrick Von Foerster Models for Patch Dynamics.- Generic Failure of Persistence and Equilibrium Coexistence in a Model of m-species Competition in an n-vessel Gradostat when m > n.- Boundedness of Solutions in Neutral Delay Predator-Prey and Competition Systems.- Some Examples of Nonstationary Populations of Constant Size.- Coexistence in Competition-Diffusion Systems.- Population Interactions with Growth Rates Dependent on Weighted Densities.- Global Stability in a Population Model with Dispersal and Stage Structure.