中文摘要：

利用反应扩散方程组的上下解方法，研究了一类具有齐次诺依曼边界条件的多物种互助模型，得到其具有全局稳定的正常数平衡解的条件；还研究了一类具有齐次诺依曼边界条件的多物种竞争模型，得到其解具有持久性的条件．

英文摘要：

Using the upper-lower solution method of reaction-diffusion systems, a class of multi-species cooperating model is studied and the conditions for the existence of globally stable positive constant equilibria are got. Also a class of multi-species competitive model is studied and the conditions for the permanence of the solutions are got.