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Abstract This paper, studied bifurcations in threedimensional competitive LotkaVolterra system living in two patchy environments. It is studied about asymptotical stability of equilibrium with threespecies alive when there is no crossdiffusion within the two patchy. And, there are some different critical values of the bifurcation parameter at which the system undergoes Hopf bifurcation, static bifurcation respectively under the effect of crossdiffusion. Some examples were also given. This illustrates the crossmigration response is very important factor that should not be ignored.
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Received: 05 July 2009
Published: 30 June 2010
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