Spatio-temporal patterns and Turing–Hopf bifurcation in a spatially extended prey–predator model with ratio-dependent interactions

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dc.contributor.authorMuhammad Waqas Yasin
dc.contributor.authorNauman Ahmed
dc.contributor.authorAli Akgül
dc.contributor.authorMuhammad Zafarullah Baber
dc.contributor.authorDumitru Baleanu
dc.contributor.authorOvidiu Tintareanu-Mircea
dc.date.accessioned2025-04-29T06:02:37Z
dc.date.available2025-04-29T06:02:37Z
dc.date.issued2025-04-16
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this manuscript, we investigate the (2+1)-dimensional ratio-dependent prey–predator system. Prey–predator dynamics are a vital component of the eco-system. It provides the basic food for the living organisms. So, we considered the extended prey–predator model. The underlying model has 2 equilibrium points and stability analysis is carried out about the coexistence equilibrium. The condition for the Hopf bifurcation and Turing instabilities are derived. These conditions help to analyze the formation of patterns in the prey–predator system. The dispersion relation shows the changing behavior of Hopf bifurcation and Turing instability from stable to unstable. The bifurcation and Turing instability simulation divide the parametric space into 4 Regions. In Region I, the solution is stable, in Region II there is purely Turing instability, in Region III, there is only Hopf instability and in Region IV there is Hopf as well as Turing instability. Different types of Turing patterns are produced to capture rate parameters. The numerical solution of the model is obtained by positivity preserving finite difference scheme. The applied scheme is von Neumann stable, and consistent with the model. The bounded behavior of a given scheme is established. Mainly, we are focused on the graphical simulations for pattern formation and steady-state analysis. The 3D and 2D visualization for the Turing pattern and numerical solution are drawn for the various parameter values. The numerical simulations endorsed the analytical results.
dc.identifier.citationOzarslan, H., Keskin, A., & Resitoglu, I. A. (2025). Enhancing low-temperature ethanol-selective catalytic reduction over Ag/TiO2-cordierite catalysts via cerium addition. Reaction Kinetics, Mechanisms and Catalysis, 1-18.
dc.identifier.doi10.1007/s40808-025-02382-3
dc.identifier.issn2363-6203
dc.identifier.issn2363-6211
dc.identifier.issue3
dc.identifier.scopus2-s2.0-105003007562
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s40808-025-02382-3
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8634
dc.identifier.volume11
dc.identifier.wosqualityQ3
dc.indekslendigikaynakScopus
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofModeling Earth Systems and Environment
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAnalysis of scheme
dc.subjectComputational scheme
dc.subjectPopulation dynamics
dc.subjectResults
dc.subjectTurning patterns
dc.titleSpatio-temporal patterns and Turing–Hopf bifurcation in a spatially extended prey–predator model with ratio-dependent interactions
dc.typejournal-article
oaire.citation.issue3
oaire.citation.volume11

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