Analysis of patterns in an additional food-provided predator-prey reaction diffusion model using amplitude equations

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dc.contributor.authorGhorai, Santu
dc.contributor.authorUmut, Omur
dc.contributor.authorPoria, Swarup
dc.date.accessioned2024-09-25T19:56:10Z
dc.date.available2024-09-25T19:56:10Z
dc.date.issued2023
dc.departmentAbant İzzet Baysal Üniversitesien_US
dc.description.abstractA two-species predator-prey reaction diffusion model where additional food was provided to the predator has been considered in the presence of both self- and cross-diffusion terms in a two-dimensional space. Importance of self- and cross-diffusion terms are discussed ecologically. Linear stability analysis has been done to determine the Turing instability region of the parameter space. Impacts of the cross-diffusion term on the stability behaviour are discussed. Using weak nonlinear analysis, the amplitude equations has been formulated to predict the stability of hexagonal, stripes and their mixture patterns near the Turing thresholds analytically. Finite difference method has been used for numerical simulations of the model under no-flux boundary conditions. Numerical simulation results are in good agreement with the theoretical predictions of patterns near the Turing threshold using amplitude equations. Additional food can play a significant role in pattern forming instabilities because near the Turing thresholds small fluctuation of additional food parameter can produce a wide variety of Turing patterns.en_US
dc.identifier.doi10.1007/s12043-023-02679-x
dc.identifier.issn0304-4289
dc.identifier.issn0973-7111
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85178885598en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s12043-023-02679-x
dc.identifier.urihttps://hdl.handle.net/20.500.12491/13157
dc.identifier.volume97en_US
dc.identifier.wosWOS:001116411300003en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIndian Acad Sciencesen_US
dc.relation.ispartofPramana-Journal of Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzYK_20240925en_US
dc.subjectAdditional fooden_US
dc.subjectcross diffusionen_US
dc.subjectbifurcationen_US
dc.subjectamplitude equationen_US
dc.subjectpattern formationen_US
dc.subjectchaosen_US
dc.subject05.45.Xten_US
dc.subject05.45.Jnen_US
dc.subject02.70.Cnen_US
dc.subject02.60.Cben_US
dc.subject52.35.Mwen_US
dc.titleAnalysis of patterns in an additional food-provided predator-prey reaction diffusion model using amplitude equationsen_US
dc.typeArticleen_US

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