Nonlinear Phenomena in Complex Systems, 2001, Vol.4, No.4, pp.364-369

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2001, Volume 4, Number 4, pp.364-369

Cross Diffusional Effect in a Lotka-Volterra Competitive System
J. Chattopadhyay and S. Chatterjee

Two species Lotka-Volterra diffusive competitive is considered. It is observed that this system can give rise to diffusive instability only in the presence of cross diffusion. The value of the bifurcating wave length parameter at which the diffusive instability sets in is worked out. Finally it is shown that the pattern evolved by this system is globally asymptotically stable
Key words: tolerant competition, cross-diffusion, pattern formation, global stability

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