讨论了一类带有齐次Dirichlet边值的强耦合竞争模型。应用上下解方法可以得到:如果交错扩散适当的弱.那么该模型存在正解。
A strongly coupled competitive model under homogeneous Dirichlet boundary conditions is discussed. Using the upper and lower solution method, we come to a conclusion that the positive solutions exist if the cross-diffusion is weak in some degree.