Journal
CHAOS SOLITONS & FRACTALS
Volume 18, Issue 2, Pages 259-266Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0960-0779(02)00648-3
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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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