Asymptotic behavior of stochastic three-species predator-prey systems with white and Levy noise

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dc.contributor.authorZhao, Yihan
dc.contributor.authorXia, Yuanpei
dc.contributor.authorYang, Zhichun
dc.date.accessioned2021-10-01T14:08:29Z
dc.date.available2021-10-01T14:08:29Z
dc.date.issued2020-07-06
dc.description.abstractIn this article, we propose a three-species prey-predator system with Holling II functional response and stochastic perturbations involving white noise and Levy noise. Firstly, we study the existence and uniqueness of a global positive solution and stochastic ultimate boundedness. Then, we obtain sufficient conditions for stability, extinction, strongly persistence in the mean and stochastic permanence in the sense of probability for the stochastic system. The results show that both white noise and Levy noise may change the asymptotic properties of the population system. Finally, some examples that chaotic dynamics can be influenced by stochastic noises.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhao, Y., Xia, Y., & Yang, Z. (2020). Asymptotic behavior of stochastic three-species predator-prey systems with white and Levy noise. <i>Electronic Journal of Differential Equations, 2020</i>(71), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14578
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, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPredator-prey system
dc.subjectLevy noise
dc.subjectWhite noise
dc.subjectExtinction
dc.subjectStochastic permanence
dc.titleAsymptotic behavior of stochastic three-species predator-prey systems with white and Levy noise
dc.typeArticle

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