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Repulsive chemotaxis and predator evasion in predator–prey models with diffusion and prey-taxis

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cris.lastimport.scopus2024-02-12T20:31:43Z
dc.abstract.enThe role of predator evasion mediated by chemical signaling is studied in a diffusive prey–predator model when prey-taxis is taken into account (model A) or not (model B) with taxis strength coefficients χ and ξ, respectively. In the kinetic part of the models, it is assumed that the rate of prey consumption includes functional responses of Holling, Beddington–DeAngelis or Crowley–Martin. Existence of global-in-time classical solutions to model A is proved in space dimension n=1 while to model B for any n≥1. The Crowley–Martin response combined with bounded rate of signal production precludes blow-up of solution in model A for n≤3. Local and global stability of a constant coexistence steady state which is stable for the corresponding ordinary differential equation (ODE) and purely diffusive model are studied along with mechanism of Hopf bifurcation for model B when χ exceeds some critical value. In model A, it is shown that prey-taxis may destabilize the coexistence steady state provided χ and ξ are big enough. Numerical simulation depicts emergence of complex space-time patterns for both models and indicates existence of solutions to model A which blow-up in finite time for n=2.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorWrzosek, Dariusz
dc.contributor.authorMishra, Purnedu
dc.date.accessioned2024-01-25T19:13:00Z
dc.date.available2024-01-25T19:13:00Z
dc.date.issued2022
dc.description.accesstimeAT_PUBLICATION
dc.description.financePublikacja bezkosztowa
dc.description.number1
dc.description.versionFINAL_PUBLISHED
dc.description.volume32
dc.identifier.doi10.1142/S0218202522500014
dc.identifier.issn0218-2025
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/118437
dc.identifier.weblinkhttps://www.worldscientific.com/doi/pdf/10.1142/S0218202522500014
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofMathematical Models and Methods in Applied Sciences
dc.relation.pages1-42
dc.rightsCC-BY
dc.sciencecloudnosend
dc.subject.enPredator–prey model
dc.subject.enchemorepulsion
dc.subject.endirect taxis
dc.subject.entaxis-driven instability
dc.subject.enpattern formation
dc.titleRepulsive chemotaxis and predator evasion in predator–prey models with diffusion and prey-taxis
dc.typeJournalArticle
dspace.entity.typePublication