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Tuerxun, Nafeisha; Teng, Zhidong; Muhammadhaji, Ahmadjan, E-mail: nfsxj@sina.com, E-mail: zhidong_teng@sina.com, E-mail: ahmatjanam@aliyun.com2019
AbstractAbstract
[en] This paper proposes a stochastic three species food-chain model with harvesting and distributed delays. Some criteria for the global dynamics of all positive solutions, including the existence of global positive solutions, stochastic boundedness, extinction, global asymptotic stability in the mean, and the probability distribution, are established by using the stochastic integral inequalities, Lyapunov function method, and the inequality estimation technique. Furthermore, the effects of harvesting are discussed, the optimal harvesting strategy and the maximum of expectation of sustainable yield (MESY for short) are obtained. Finally, numerical examples are carried out to illustrate our main results.
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Copyright (c) 2019 The Author(s); Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Advances in Difference Equations (Online); ISSN 1687-1847;
; v. 2019(1); p. 1-30

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