On the numerical simulation of population dynamics with density-dependent migrations and the Allee effects

被引:5
|
作者
Sweilam, H. N. [1 ]
Khader, M. M. [2 ]
Al-Bar, F. R. [3 ]
机构
[1] Qatar Univ, Dept Math & Phys, POB 2713, Doha, Qatar
[2] Benha Univ, Fac Sci, Dept Math, Banha, Egypt
[3] Umm Al Qura Univ, Fac Sci, Dept Math, Mecca, Saudi Arabia
关键词
D O I
10.1088/1742-6596/96/1/012008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
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页数:10
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