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✦   LIBER   ✦

On Diffusive Population Models with Toxicants and Time Delays

✍ Scribed by Wei Feng; Xin Lu

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
123 KB
Volume
233
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this article 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 self-limitation and toxicant effects is larger than that of the timedelay effects in the model with delays, the solution of both reaction-diffusion Ε½ systems has the same asymptotic behavior extinction or converging to the positive . steady-state solution, depending on the growth rate of the species . Numerical Ε½ . simulations for both cases with or without time delays are demonstrated for the purpose of comparison.

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