Survival Analysis of Stochastic Competitive Models in a Polluted Environment and Stochastic Competitive Exclusion Principle |
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Authors: | Meng Liu Ke Wang Qiong Wu |
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Institution: | 1.Department of Mathematics,Harbin Institute of Technology,Weihai,P.R. China;2.School of Mathematics and Statistics,Northeast Normal University,Changchun,P.R. China |
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Abstract: | Stochastic competitive models with pollution and without pollution are proposed and studied. For the first system with pollution,
sufficient criteria for extinction, nonpersistence in the mean, weak persistence in the mean, strong persistence in the mean,
and stochastic permanence are established. The threshold between weak persistence in the mean and extinction for each population
is obtained. It is found that stochastic disturbance is favorable for the survival of one species and is unfavorable for the
survival of the other species. For the second system with pollution, sufficient conditions for extinction and weak persistence
are obtained. For the model without pollution, a partial stochastic competitive exclusion principle is derived. |
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Keywords: | |
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