Cross-diffusional effect in a telegraph reaction diffusion Lotka-Volterra two competitive system

被引：15
作者：
Abdusalam, HA [1 ]
Fahmy, ES [1 ]
机构：
[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
来源：
CHAOS SOLITONS & FRACTALS | 2003年 / 18卷 / 02期
关键词：
D O I：
10.1016/S0960-0779(02)00648-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is known now that, telegraph equation is more suitable than ordinary diffusion equation in modelling reaction diffusion in several branches of sciences. Telegraph reaction diffusion Lotka-Volterra two competitive system is considered. We observed that this system can give rise to diffusive instability only in the presence of cross-diffusion. Local and global stability analysis in the cross-diffusional effect are studied by considering suitable Lyapunov functional. (C) 2003 Elsevier Science Ltd. All rights reserved.
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页码：259 / 266
页数：8
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