Stochastic Modeling of Three-Species Prey-Predator Model Driven by Levy Jump with Mixed Holling-II and Beddington-DeAngelis Functional Responses

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dc.contributor.authorDanane, Jaouad
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorYildiz, Mustafa
dc.date.accessioned2024-02-23T14:35:09Z
dc.date.available2024-02-23T14:35:09Z
dc.date.issued2023
dc.departmentNEÜen_US
dc.description.abstractThis study examines the dynamics of a stochastic prey-predator model using a functional response function driven by Levy noise and a mixed Holling-II and Beddington-DeAngelis functional response. The proposed model presents a computational analysis between two prey and one predator population dynamics. First, we show that the suggested model admits a unique positive solution. Second, we prove the extinction of all the studied populations, the extinction of only the predator, and the persistence of all the considered populations under several sufficient conditions. Finally, a special Runge-Kutta method for the stochastic model is illustrated and implemented in order to show the behavior of the two prey and one predator subpopulations.en_US
dc.identifier.doi10.3390/fractalfract7100751
dc.identifier.issn2504-3110
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85175162646en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract7100751
dc.identifier.urihttps://hdl.handle.net/20.500.12452/15905
dc.identifier.volume7en_US
dc.identifier.wosWOS:001095309300001en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractal And Fractionalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPrey-Predatoren_US
dc.subjectStochastic Modelen_US
dc.subjectLevy Jumpen_US
dc.subjectHolling-Ii Functionalen_US
dc.subjectBeddington-Deangelis Functionalen_US
dc.subjectRunge-Kutta Methoden_US
dc.titleStochastic Modeling of Three-Species Prey-Predator Model Driven by Levy Jump with Mixed Holling-II and Beddington-DeAngelis Functional Responsesen_US
dc.typeArticleen_US

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