Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 477, Issue -, Pages 99-113Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2017.02.046
Keywords
Stochastic delayed competition model; Impulsive toxicant input; Persistence in the mean; Levy jumps; Optimal harvesting strategy
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Funding
- National Natural Science Foundation of China [11371230, 11561004, 11501331]
- SDUST Research Fund [2014TDJH102]
- Shandong Provincial Natural Science Foundation, China [ZR2015AQ001, BS2015SF002]
- Joint Innovative Center for Safe And Effective Mining Technology and Equipment of Coal Resources
- Open Foundation of the Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques, Gannan Normal University, China
- SDUST Innovation Fund for Graduate Students [SDKDYC170225]
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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. (C) 2017 Elsevier B.V. All rights reserved.
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