Meng Liu, Ke Wang
A stochastic single-species population system in a polluted environment with impulsive toxicant input is proposed and studied. Sufficient conditions for extinction, non-persistence in the mean, strong persistence in the mean and stochastic permanence of the population are established. The threshold between strong persistence in the mean and extinction is obtained. Some simulation figures are introduced to illustrate the main results.
Submitted September 17, 2013. Published October 16, 2013.
Math Subject Classifications: 92D25, 92D40, 60H30.
Key Words: Pollution; white noise; extinction; persistence; stochastic permanence.
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| Meng Liu |
School of Mathematical Science, Huaiyin Normal University
Huaian 223300, China
| Ke Wang |
Department of Mathematics, Harbin Institute of Technology
Weihai 264209, China