Approximate analysis of population dynamic's with density-dependent migrations and the Allee effects
Küçük Resim Yok
Tarih
2012
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emerald Group Publishing Limited
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Purpose - 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.
Açıklama
Anahtar Kelimeler
Homotopy perturbation method, Allee effects, Density-dependent migrations
Kaynak
International Journal of Numerical Methods For Heat & Fluid Flow
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
22
Sayı
2
