THE BIFURCATION OF STEADY STATE AND STABILITY OF A MUTUALISTIC CROSS-DIFFUSION SYSTEM
Dai Wan-yi · Journal of South China Normal University · 2005
A type of reciprocal system with cross - diffusion effect is discussed. Two reciprocal species lie in a bounded domain. Under the homogeneous Dirichlet boundary conditions, the methods of spectral analysis and bifurcation theory are used to derive the existence of the nontrivial positive static solutions, which originates from semi - trivial solutions. A stability condition for the bifurcated solution is also presented.