The effect of diffusion on the permanence of Smith population model in a polluted patch |
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| Authors: | Zhuoqin Yang Qishao Lu Zaizhong Yang |
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| Institution: | a School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;b Department of Mathematics, Inner Mongolia University, Inner Mongolia 010021, China |
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| Abstract: | The effect of diffusion on the permanence of population in a polluted patch is studied by setting up a single-population diffusive system in two patches. The analysis focuses on the case that the toxicant input in the polluted patch has a limit value. It is shown that when there is no diffusion and the limit value exceeds a certain value, the population in the polluted patch goes extinct; when the diffusion exists and population diffusive coefficients between the two patches satisfy some conditions, the population of the system goes either permanent or extinct. |
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| Keywords: | population diffusion system pollution permanence extinction |
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