Effect of cross-diffusion on the stationary problem of a diffusive competition model with a protection zone

摘要: Abstract This paper is concerned with the positive stationary problem of a Lotka–Volterra cross-diffusive competition model protection zone for weak competitor. The detailed structure solutions small birth rates and large cross-diffusion shown. quite different from that without cross-diffusion, which we can see has beneficial effect existence solutions. spatial heterogeneity caused by zones also examined shown to change shape bifurcation curve. Thus environmental heterogeneity, together produce much more complicated patterns. Finally, asymptotic behavior any rate as coefficient tends infinity given, moreover, limiting system analyzed. result reveals phenomena homogeneous case zones.