Analysis of a stochastic single species model with Allee effect and jump-diffusion

Autor:	Yalin Jin
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Allee effect Lévy jumps Extinction Stochastic permanence Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-11 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-02631-y
Popis:	Abstract In this paper, we consider the effects of the small and abrupt random perturbations in the environment, and formulate a stochastic single species model with Allee effect and jump-diffusion. We first prove that the model admits a unique solution which is global and positive. Then we study the stochastic permanence and extinction of the model. In addition, we estimate the growth rate of the solution. Our results reveal that the properties of the model have close relationships with the jump-diffusion. Finally, we work out several numerical simulations to validate the theoretical results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/028dbe140f9144ee8695f70538d2967c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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