Global dynamics in a stochastic three species food-chain model with harvesting and distributed delays

Autor:	Nafeisha Tuerxun, Zhidong Teng, Ahmadjan Muhammadhaji
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Stochastic food-chain model Distributed delay Inequality estimation Extinction Global stability Harvesting Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-30 (2019)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-019-2122-4
Popis:	Abstract 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.
Databáze:	Directory of Open Access Journals
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