Persistence and extinction of a single-species population system in a polluted environment with random perturbations and impulsive toxicant input |
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Authors: | Meng Liu Ke Wang |
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Institution: | 1. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, PR China;2. Department of Mathematics, Hubei University for Nationalities, Hubei 445000, PR China |
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Abstract: | Taking both white noises and colored noises into account, a stochastic single-species model with Markov switching and impulsive toxicant input in a polluted environment is proposed and investigated. Sufficient conditions for extinction, non-persistence in the mean, weak persistence and stochastic permanence are established. The threshold between weak persistence and extinction is obtained. Some simulation figures are introduced to illustrate the main results. |
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