Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5103182 | Physica A: Statistical Mechanics and its Applications | 2017 | 24 Pages |
Abstract
Driven by both white and jump noises, a stochastic delayed model with two competitive species in a polluted environment is proposed and investigated. By using the comparison theorem of stochastic differential equations and limit superior theory, sufficient conditions for persistence in mean and extinction of two species are established. In addition, we obtain that the system is asymptotically stable in distribution by using ergodic method. Furthermore, the optimal harvesting effort and the maximum of expectation of sustainable yield (ESY) are derived from Hessian matrix method and optimal harvesting theory of differential equations. Finally, some numerical simulations are provided to illustrate the theoretical results.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Lidan Liu, Xinzhu Meng, Tonghua Zhang,