Optimal harvesting of a stochastic delay competitive Lotka-Volterra model with Lévy jumps
Optimal harvesting of a stochastic delay competitive Lotka-Volterra model with Lévy jumps
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DOI：
10.1016/j.amc.2017.08.044
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发表时间：
2018-01
期刊：
影响因子：
--
通讯作者：
Hong Qiu;Wenmin Deng
中科院分区：
文献类型：
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作者：
Hong Qiu;Wenmin Deng
本文系统地研究了具有Lévy跳跃的随机时滞竞争Lotka-Volterra模型的最优收获问题。在一些简单的假设下，给出了每个种群灭绝且在平均时间内稳定的充分条件。在我们的假设下，证明了该模型的分布稳定性。最后，建立了最优收获策略存在的充要条件，并得到了最优收获努力和最大可持续产量的显式表达式。并通过数值模拟对理论结果进行了验证。
This paper systematically investigates the optimal harvesting of a stochastic delay competitive Lotka–Volterra model with Lévy jumps. Under some simple assumptions, the sufficient conditions for extinction and stable in the time average of each species are established. The stability in distribution of this model is proved under our assumptions. Finally, the sufficient and necessary criteria for the existence of optimal harvesting policy are established and the explicit expression of the optimal harvesting effort and the maximum of sustainable yield are also obtained. And some numerical simulations are introduced to demonstrate the theoretical results.