Dynamical behavior in a reaction-diffusion system with prey-taxis

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dc.contributor.authorSong, Yingwei
dc.contributor.authorZhang, Tie
dc.contributor.authorLi, Jinpeng
dc.date.accessioned2023-04-17T20:59:40Z
dc.date.available2023-04-17T20:59:40Z
dc.date.issued2022-05-13
dc.description.abstractIn this article, we study a diffusive predator-prey system with prey-taxis under homogeneous Neumann boundary conditions. We establish the existence and boundedness of nonnegative global solutions. Through comparison with the system without prey-taxis, we find that the positive constant equilibrium remains stable for positive prey-taxis, while negative prey-taxis makes it unstable.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSong, Y., Zhang, T., & Li, J. (2022). Dynamical behavior in a reaction-diffusion system with prey-taxis. <i>Electronic Journal of Differential Equations, 2022</i>(37), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16596
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.subjectReaction
dc.subjectDiffusion
dc.subjectGlobal solution
dc.subjectStability
dc.titleDynamical behavior in a reaction-diffusion system with prey-taxisen_US
dc.typeArticle

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