Persistence and extinction of a single-species population system in a polluted environment with random perturbations and impulsive toxicant input

Meng Liu and Ke Wang

Chaos, Solitons & Fractals, 2012, vol. 45, issue 12, 1541-1550

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.

Date: 2012
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:12:p:1541-1550

DOI: 10.1016/j.chaos.2012.08.011

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