On Diffusive Population Models with Toxicants and Time Delays
by
Wei Feng
University of North Carolina at Wilmington
Coauthors: Xin Lu

We study the global stability in reaction-diffusion models for single-species population growth under environmental toxicants with or without time delays. The existence and uniqueness of a positive steady-state solution are established in those models. It is shown that as long as the magnitude of the instantaneous effects for self-limitation and toxicant is larger than the magnitude of the time-delay effects, the solutions of both reaction-diffusion systems have the same aymptotic behavior (extinction or converging to the positive steady-state solution, depending on the growth rate of the species). Numerical simulations for both models are demonstrated for the purpose of comparison.

Date received: April 1, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-53.