Piecewise Differential Equations for Prey-Predator Interactions: From Dyadic to Triadic

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dc.authoridIGRET ARAZ, SEDA/0000-0002-7698-0709
dc.contributor.authorAraz, Seda Igret
dc.contributor.authorBoubekeur, Maroua Amel
dc.date.accessioned2024-12-24T19:25:06Z
dc.date.available2024-12-24T19:25:06Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study, the applications of the concept of piecewise differential equations, a powerful mathematical tool for addressing different processes occurring at different time intervals, on prey-predator models were discussed. Thanks to this new concept, we aimed to provide a new perspective for prey-predator models in which ecological processes that start with dyadic interactions can also include triadic interactions after a while. More specifically, two prey-predator models were proposed, one dealing with the different scenarios where a second predator was introduced into an environment with a prey and a predator, and the other where an infected prey was introduced into an environment with a prey and a predator. Numerical simulations were carried out in order to have a graphical representation of the different behavior of these two new models under different scenarios. We strongly believe that this study provides a comprehensive overview of piecewise differential equations and contributions to the field of mathematical biology, especially in modeling prey-predator dynamics.
dc.identifier.doi10.1007/s40995-024-01722-9
dc.identifier.endpage1624
dc.identifier.issn2731-8095
dc.identifier.issn2731-8109
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85205687252
dc.identifier.scopusqualityQ4
dc.identifier.startpage1613
dc.identifier.urihttps://doi.org/10.1007/s40995-024-01722-9
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6265
dc.identifier.volume48
dc.identifier.wosWOS:001329148600003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Int Publ Ag
dc.relation.ispartofIranian Journal of Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectPrey-predator models
dc.subjectPiecewise differential equations
dc.subjectExistence and uniqueness
dc.subjectFractional calculus
dc.subjectNumerical scheme
dc.titlePiecewise Differential Equations for Prey-Predator Interactions: From Dyadic to Triadic
dc.typeArticle

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