Meng Liu, Ke Wang
Abstract:
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 email: liumeng0557@sina.com | |
Ke Wang Department of Mathematics, Harbin Institute of Technology Weihai 264209, China email: w_k@hotmail.com |