Nonstandard Finite Difference Theta Approaches to the Predator-Prey System

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dc.authorid0000-0002-7551-1636
dc.contributor.authorOzdogan, Nihal
dc.contributor.authorArslan, Bahar
dc.date.accessioned2026-02-08T15:14:47Z
dc.date.available2026-02-08T15:14:47Z
dc.date.issued2026
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractIn this paper, we propose nonstandard finite difference theta schemes for a well-known Lotka-Volterra model without the Allee effect and investigate the dynamical behavior of the discretized system. We prove that the scheme is dynamically consistent with the continuous model, preserving key properties such as the positivity of solutions and the stability of equilibrium points. Numerical experiments are conducted to validate the theoretical results and demonstrate the superiority of the proposed schemes over standard methods in maintaining these critical properties.
dc.identifier.doi10.1002/mma.70486
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.scopus2-s2.0-105027537287
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1002/mma.70486
dc.identifier.urihttps://hdl.handle.net/20.500.12885/5437
dc.identifier.wosWOS:001661459500001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in The Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzWOS_KA_20260207
dc.subjectLotka-Volterra system
dc.subjectnonstandard finite difference theta method
dc.subjectpositivity
dc.subjectpredator-prey
dc.subjectstability
dc.titleNonstandard Finite Difference Theta Approaches to the Predator-Prey System
dc.typeArticle

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