Stability of a stochastic discrete mutualism system

Autor:	Yuming Chen, Xinyuan Liao
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Lyapunov functional method Algebra and Number Theory Partial differential equation Discretization Stochastic modelling Applied Mathematics lcsh:Mathematics Boundary (topology) Linearized method White noise Asymptotic mean square stability lcsh:QA1-939 Stability (probability) Exponential stability Ordinary differential equation Applied mathematics Analysis Stochastic discrete mutualism model Mathematics
Zdroj:	Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-10 (2019)
ISSN:	1687-1847
DOI:	10.1186/s13662-019-2056-x
Popis:	Under the assumption that stochastic white noise perturbations are directly proportional to the deviation of the state from the equilibrium states of a continuous mutualistic model, we use the Euler–Maruyama discretization method to obtain a two-species stochastic discrete mutualism model. For this stochastic model, we establish conditions on the asymptotic mean square stability of the positive equilibrium state and the almost sure asymptotic stability of the three boundary equilibrium states. The theoretical results are supported with numerical simulations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2b814a772ffda1d7434a46544b2d259 http://link.springer.com/article/10.1186/s13662-019-2056-x Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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