Mathematical analysis and pattern formation in diffusive predator–prey system

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dc.contributor.authorNauman Ahmed
dc.contributor.authorMuhammad Waqas Yasin
dc.contributor.authorAli Akgül
dc.contributor.authorDumitru Baleanu
dc.contributor.authorOvidiu Tintareanu-Mircea
dc.date.accessioned2025-01-13T08:34:55Z
dc.date.available2025-01-13T08:34:55Z
dc.date.issued2025-01-07
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractPrey-predator interactions are modeled using various dynamical systems and these interactions are affected by several factors. The predation rate of prey, reproduction rate, and prey use various strategies to avoid predation, the movement of the prey and predator species, food, and secured shelter can lead to the emergence of various types of patterns. These patterns in the prey-predator dynamics explain the complicated ecosystem. A reaction-diffusion prey-predator model with harvesting in predator is numerically investigated. A conditionally positivity preserving scheme is used. The von Neumann technique is used for the stability analysis. The Taylor series is used for the consistency analysis and discrete approximation is consistent with the underlying model. Pattern formation is observed for the governing model. The spot, stripe, and spot-stripes patterns are successfully gained that describe the complicated dynamics of the prey-predator dynamics. 3D and 2D simulations are drawn for the underlying model. The underlying model has two equilibria, both are successfully gained. All the theoretical results are verified through the simulations.
dc.identifier.citationAhmed, N., Yasin, M. W., Akgül, A., Baleanu, D., & Tintareanu-Mircea, O. (2025). Mathematical analysis and pattern formation in diffusive predator–prey system. Journal of Applied Mathematics and Computing, 1-22.
dc.identifier.doi10.1007/s12190-024-02341-8
dc.identifier.issn1598-5865
dc.identifier.issn1865-2085
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s12190-024-02341-8
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8439
dc.identifier.wosWOS:001390864400001
dc.identifier.wosqualityQ1
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.language.isoen
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofJournal of Applied Mathematics and Computing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectPredator-prey model
dc.subjectPattern formation
dc.subjectComputational scheme
dc.subjectAnalysis
dc.subjectDiscussion
dc.titleMathematical analysis and pattern formation in diffusive predator–prey system
dc.typejournal-article

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