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Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.aml.2007.10.026
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dc.titleGlobal asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model
dc.contributor.authorWang, M.
dc.contributor.authorPang, P.Y.H.
dc.date.accessioned2014-10-28T02:36:04Z
dc.date.available2014-10-28T02:36:04Z
dc.date.issued2008-11
dc.identifier.citationWang, M., Pang, P.Y.H. (2008-11). Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model. Applied Mathematics Letters 21 (11) : 1215-1220. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aml.2007.10.026
dc.identifier.issn08939659
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103341
dc.description.abstractIn this work, we study a ratio-dependent prey-predator model with diffusion and homogeneous Neumann boundary condition. We prove that the unique positive constant steady state is locally and uniformly stable, and is globally asymptotically stable under some assumptions. The proof uses the iteration method. © 2008 Elsevier Ltd. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.aml.2007.10.026
dc.sourceScopus
dc.subjectGlobal asymptotic stability
dc.subjectIteration method
dc.subjectPredator-prey model
dc.subjectRatio-dependent response function
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.aml.2007.10.026
dc.description.sourcetitleApplied Mathematics Letters
dc.description.volume21
dc.description.issue11
dc.description.page1215-1220
dc.description.codenAMLEE
dc.identifier.isiut000260236800021
Appears in Collections:Staff Publications

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