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dc.contributor.authorSun, Zhongyuan ( )
dc.contributor.authorWang, Jinfeng ( )
dc.date.accessioned2021-09-22T18:03:37Z
dc.date.available2021-09-22T18:03:37Z
dc.date.issued2020-04-23
dc.identifier.citationSun, Z., & Wang, J. (2020). Dynamics and pattern formation in diffusive predator-prey models with predator-taxis. Electronic Journal of Differential Equations, 2020(36), pp. 1-14.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14540
dc.description.abstractWe consider a three-species predator-prey system in which the predator has a stage structure and the prey moves to avoid the mature predator, which is called the predator-taxis. We obtain the existence and uniform-in-time boundedness of classical global solutions for the model in any dimensional bounded domain with the Neumann boundary conditions. If the attractive predator-taxis coefficient is under a critical value, the homogenerous positive steady state maintains its stability. Otherwise, the system may generate Hopf bifurcation solutions. Our results suggest that the predator-taxis amplifies the spatial heterogeneity of the three-species predator-prey system, which is different from the effect of that in two-species predator-prey systems.en_US
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPredator-preyen_US
dc.subjectPredator-taxis' global solutionen_US
dc.subjectSpatial patternen_US
dc.titleDynamics and pattern formation in diffusive predator-prey models with predator-taxisen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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