应用能量估计方法和bootstrap技巧证明了竞争-竞争-互惠交错扩散模型在空间维数小于6时古典解的整体存在性.当反应函数的系数满足一定条件时,应用Lyapunov函数获得了该模型解的收敛性.

Using the energy estimates and bootstrap arguments,the global existence of classical solutions for the competitor-competitor-mutualist model with cross-diffusion is proved when the space dimensions is at most 5.Under certain conditions of the coefficients of the reaction functions,the convergence of the solutions is established for the system by Lyapunov functions.