Persistence and extinction of a stochastic single-species population model in a polluted environment with impulsive toxicant input
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 thre...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/230/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |