How Do the Spatial Structure and Time Delay Affect the Persistence of A Polluted Species |
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| Authors: | Yanni Xiao Lansun Chen |
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| Institution: | 1. Department of Mathematical Sciences , The University of Liverpool , Liverpool , L69 7ZL , UK;2. Academy of Mathematics and System Sciences , Chinese Academy of Sciences , Beijing , 100080 , P.R. China;3. Institute of Mathematics , Academia Sinica , Beijing , 100080 , P.R. China |
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| Abstract: | In this article, we consider the effects of diffusion and time delay on the species in a polluted environment. Persistence-extinction thresholds are given for population in the toxicant stressed logistic growth model with discrete diffusion or time delay. It is proved that dispersal allows a larger threshold, that is, dispersal can increase the endurance effectiveness of the population subjected to toxicant, and time delay has no effect on the threshold result. |
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| Keywords: | Diffusion Time Delay Uniformly Persistent Extinction Threshold |
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