Dynamic analysis of a stochastic four species food-chain model with harvesting and distributed delay

Autor: Nafeisha Tuerxun, Zhidong Teng, Wei Chen
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Boundary Value Problems, Vol 2021, Iss 1, Pp 1-27 (2021)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-021-01487-9
Popis: Abstract A stochastic four species food-chain model is proposed in this paper. Here, artificial harvest in each species and the effect of time delay for interaction between species are considered, which makes the model more applicable in real situations. Specifically, we address the stochastic global dynamics behavior, including the existence of global positive solutions, stochastic ultimate boundedness, extinction with probability one, persistence in mean and global stability. The asymptotic stability in the probability distribution is obtained, and the criterion for the existence and non-existence of the optimal harvesting strategy is also derived. Furthermore, this paper can provide reference for the research of general n-species stochastic food-chain models.
Databáze: Directory of Open Access Journals
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