Electron. J. Diff. Eqns., Vol. 2006(2006), No. 112, pp. 1-11.

Analysis of a single species with diffusion in a polluted environment

Jing Wang, Ke Wang

In this paper, the effect of diffusion on the permanence and extinction in the polluted environment is studied by a single population diffusive system in two patches. Assume that the two patches are a protective patch and a non-protective patch. We examine the effects of protective patch and conclude that it is effective for the conservation of a population facing polluted environment. The conditions for the permanence and extinction of the population are obtained.

Submitted March 20, 2006. Published September 19, 2006.
Math Subject Classifications: 93C15
Key Words: Protective patch; equilibrium; permanence; extinction

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Jing Wang
Department of Mathematics
Harbin Institute of Technology, Harbin 150001, China
School of Mathematics and statistics Northeast Normal University
Changchun 130024, China
email: wangj487@nenu.edu.cn
Ke Wang
Department of Mathematics
Harbin Institute of Technology
Weihai 264209, Shandong, China
email: w_k@hotmail.com

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