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

Autor:	Zhidong Teng, Nafeisha Tuerxun, Ahmadjan Muhammadhaji
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Lyapunov function Inequality estimation Algebra and Number Theory Extinction Partial differential equation Distributed delay Applied Mathematics lcsh:Mathematics Global stability lcsh:QA1-939 Stochastic integral symbols.namesake Exponential stability Ordinary differential equation symbols Probability distribution Applied mathematics Harvesting Stochastic food-chain model Food chain model Analysis Mathematics
Zdroj:	Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-30 (2019)
ISSN:	1687-1847
DOI:	10.1186/s13662-019-2122-4
Popis:	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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::febd1640c1ad73d5de34776f1949730c http://link.springer.com/article/10.1186/s13662-019-2122-4 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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