Dynamics of stochastic Lotka-Volterra predator-prey models driven by three independent Brownian motions

dc.contributor.authorLi, Shangzhi
dc.contributor.authorGuo, Shangjiang
dc.date.accessioned2023-04-17T20:09:00Z
dc.date.available2023-04-17T20:09:00Z
dc.date.issued2022-04-20
dc.description.abstractThis article concerns the permanence and extinction of stochastic Lotka-Volterra predator-prey models perturbed by three independent white noises. We establish some criteria and present some numerical simulations that illustrate our theoretical results. It is shown that the presence of strong noise on either the intra-specific interaction rate or the inter-specific interaction rate may lead to complete different dynamical behaviors from the deterministic case.
dc.description.departmentMathematics
dc.formatText
dc.format.extent28 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLi, S., & Guo, S. (2022). Dynamics of stochastic Lotka-Volterra predator-prey models driven by three independent Brownian motions. <i>Electronic Journal of Differential Equations, 2022</i>(32), pp. 1-28.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16591
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPredator-prey model
dc.subjectLyapunov exponent
dc.subjectPermanence
dc.subjectExtinction
dc.titleDynamics of stochastic Lotka-Volterra predator-prey models driven by three independent Brownian motions
dc.typeArticle

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