On the numerical simulation of population dynamics with density-dependent migrations and the Allee effects
Author | Sweilam, H.N. |
Author | Khader, M.M. |
Author | Al-Bar, F.R. |
Available date | 2010-01-07T07:44:57Z |
Publication Date | 2008 |
Publication Name | Journal of Physics: Conference Series |
Citation | Sweilam, H. N., Khader, M. M., & Al-Bar, F. R. (2008). On the numerical simulation of population dynamics with density-dependent migrations and the Allee effects. Journal of Physics: Conference Series, 96, 012008 |
Abstract | In this paper, the variational iteration method (VIM) and the Adomian decomposition method (ADM) are presented for the numerical simulation of the population dynamics model with density-dependent migrations and the Allee effects. The convergence of ADM is proved for the model problem. The results obtained by these methods are compared to the exact solution. It is found that these methods are always converges to the right solutions with high accuracy. Furthermore, VIM needs relative less computational work than ADM. |
Language | en |
Publisher | IOP Publishing |
Subject | Fluid dynamics Mathematical physics Computational physics |
Type | Article |
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Mathematics, Statistics & Physics [722 items ]