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dc.contributor.authorGokce, Aytul-
dc.date.accessioned2024-03-15T11:17:29Z-
dc.date.available2024-03-15T11:17:29Z-
dc.date.issued2022-
dc.identifier.citationGökçe, A. (2022). A dynamic interplay between Allee effect and time delay in a mathematical model with weakening memory. Appl. Math. Comput., 430. https://doi.org/10.1016/j.amc.2022.127306en_US
dc.identifier.issn0096-3003-
dc.identifier.issn1873-5649-
dc.identifier.urihttp://dx.doi.org/10.1016/j.amc.2022.127306-
dc.identifier.urihttps://www.webofscience.com/wos/woscc/full-record/WOS:000849787900013-
dc.identifier.urihttp://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4474-
dc.descriptionWoS Categories: Mathematics, Applieden_US
dc.descriptionWeb of Science Index: Science Citation Index Expanded (SCI-EXPANDED)en_US
dc.descriptionResearch Areas: Mathematicsen_US
dc.description.abstractThis paper deals with a model of population dynamics comprising Allee effect and weakening memory with constant time delays. Since predator density depends on the prey density in current time and in past, a two-component model of prey-predator interactions is complemented with a third differential equation for the influence of recent past. The role of constant time delays incorporated in the functional form of Allee effect (referred as delays in competition and cooperation) is investigated analytically and numerically. Steady states of the model are obtained and the local stability analysis around the coexisting state is calculated in the presence of both delays. The critical threshold for time delays, above which the stability of the system switches from stable (unstable) to unstable (stable), is computed for various cases. Analytical findings of this paper are supported with numerical simulations, where time evolution as well as numerical bifurcation diagrams are presented. The results of this paper demonstrate that the influence of past on the prey-predator density in the present of time delay may have a considerable effect upon the system behaviour and can give important insights into underlying biological mechanism. (C) 2022 Elsevier Inc. All rights reserved.en_US
dc.language.isoengen_US
dc.publisherELSEVIER SCIENCE INC-NEW YORKen_US
dc.relation.isversionof10.1016/j.amc.2022.127306en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPrey-predator dynamics, Chaos, Dynamical systems, Allee effect, Memoryen_US
dc.subjectPREDATOR-PREY MODEL, POPULATION-DYNAMICS, HOPF-BIFURCATION, SYSTEM, DIFFUSION, STABILITY, ENEMIESen_US
dc.titleA dynamic interplay between Allee effect and time delay in a mathematical model with weakening memoryen_US
dc.typearticleen_US
dc.relation.journalAPPLIED MATHEMATICS AND COMPUTATIONen_US
dc.contributor.departmentOrdu Üniversitesien_US
dc.identifier.volume430en_US
Appears in Collections:Matematik

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