Optimal control strategy for an impulsive stochastic competition system with time delays and jumps

Lidan Liu, Xinzhu Meng and Tonghua Zhang

Physica A: Statistical Mechanics and its Applications, 2017, vol. 477, issue C, 99-113

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: Stochastic delayed competition model; Impulsive toxicant input; Persistence in the mean; Lévy jumps; Optimal harvesting strategy (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:477:y:2017:i:c:p:99-113

DOI: 10.1016/j.physa.2017.02.046

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