Stability of positive stationary solutions to a spatially heterogeneous cooperative system with cross-diffusion
In the previous article [Y.-X.Wang and W.-T.Li, J.Differential Equations, 251 (2011) 1670-1695], the authors have shown that the set of positive stationary solutions of a cross-diffusive Lotka-Volterra soderhamn ottoman cover cooperative system can form an unbounded fish-hook shaped branch $Gamma_p$.In the present paper, we will show some criteria