Attraction–repulsion taxis mechanisms in a predator–prey model

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dc.contributor.authorBell, Jonathan
dc.contributor.authorHaskell, Evan C.
dc.date.accessioned2021-05-13T15:42:50Z
dc.date.available2021-05-13T15:42:50Z
dc.date.issued2021-04-14
dc.description.abstractWe consider a predator–prey model where the predator population favors the prey through biased diffusion toward the prey density, while the prey population employs a chemical repulsive mechanism. This leads to a quasilinear parabolic system. We first establish the global existence of positive solutions. Thereafter we show the existence of nontrivial steady state solutions via bifurcation theory, then we discuss the stability of these branch solutions. Through numerical simulation we analyze the nature of patterns formed and interpret results in terms of the survival and distribution of the two populations.en_US
dc.description.urihttps://link.springer.com/article/10.1007/s42985-021-00080-0en_US
dc.format.extent29 pagesen_US
dc.genrejournal articlesen_US
dc.identifierdoi:10.13016/m2vbce-nnpa
dc.identifier.citationBell, J., Haskell, E.C. Attraction–repulsion taxis mechanisms in a predator–prey model. SN Partial Differ. Equ. Appl. 2, 34 (2021). https://doi.org/10.1007/s42985-021-00080-0en_US
dc.identifier.urihttps://doi.org/10.1007/s42985-021-00080-0
dc.identifier.urihttp://hdl.handle.net/11603/21516
dc.language.isoen_USen_US
dc.publisherSpringer Natureen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.subjectpredator prey modelen_US
dc.subjectpattern formationen_US
dc.subjectchemical repulsive mechanismen_US
dc.subjectbifurcation theoryen_US
dc.subjectnumerical simulations
dc.subjectnontrivial steady state solutions
dc.titleAttraction–repulsion taxis mechanisms in a predator–prey modelen_US
dc.typeTexten_US

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