A mathematical study of a two-regional population growth model

被引:9
作者
El Ghordaf, J [1 ]
Hbid, ML [1 ]
Arino, O [1 ]
机构
[1] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech 40000, Morocco
关键词
population growth modelurban dynamics; Lotka-Volterra model; Lyapunov function;
D O I
10.1016/j.crvi.2004.09.006
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The paper provides a mathematical study of a model of urban dynamics, adjusting to an ecological model proposed by Lotka and Volterra. The model is a system of two first-order non-linear ordinary differential equations. The study proposed here completes the original proof by using the main tools such as a Lyapunov function. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.
引用
收藏
页码:977 / 982
页数:6
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