Approximate analysis of population dynamics with density-dependent migrations and the Allee effects

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dc.contributor.authorMohyud-Din S.
dc.contributor.authorYildirim A.
dc.contributor.authorGulkanat Y.
dc.date.accessioned2019-10-27T08:33:08Z
dc.date.available2019-10-27T08:33:08Z
dc.date.issued2012
dc.departmentEge Üniversitesien_US
dc.description.abstractPurpose - The aim of this paper is to present the numerical simulation of the population dynamics model with density-dependent migrations and the Allee effects using the homotopy perturbation method (HPM). Design/methodology/ approach - The paper applied HPM and the results obtained by this method are compared to the exact solution. The results show applicability, accuracy and efficiency of HPM in solving the transient non-linear advection-diffusion- reaction equation. Findings - In this study, HPM is applied to solve the model of population dynamics with density- dependent migrations and the Allee effects. Numerical approximations show a high degree of accuracy. The numerical results we obtained justify the advantage of this methodology, even in the few terms approximation is accurate. Errors can be made smaller by taking new terms of the iteration formulas. Originality/value - It is confirmed that the work has not been published in any other journal. © 2012 Emerald Group Publishing Limited.en_US
dc.identifier.doi10.1108/09615531211199854
dc.identifier.endpage250en_US
dc.identifier.issn0961-5539
dc.identifier.issn0961-5539en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage243en_US
dc.identifier.urihttps://doi.org/10.1108/09615531211199854
dc.identifier.urihttps://hdl.handle.net/11454/26663
dc.identifier.volume22en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofInternational Journal of Numerical Methods for Heat and Fluid Flowen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAllee effectsen_US
dc.subjectDensity-dependent migrationsen_US
dc.subjectHomotopy perturbation methoden_US
dc.titleApproximate analysis of population dynamics with density-dependent migrations and the Allee effectsen_US
dc.typeArticleen_US

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