An Armstrong‐McGehee strong coupled cross‐diffusion system with two consumers and one biotic resource is studied . Firstly , the local and global asymptotical stability of the nonnegative equilibrium points of weakly coupled reaction‐diffusion system are obtained by linearization and constructing Lyapunov function . Secondly , the effect of cross‐diffusion coefficient on the stability of the nonnegative equilibrium points is discussed . T he results show that cross‐diffusion can induce T uring instability if the cross‐diffusion coefficient is sufficiently large .%讨论一个含有两个消费者和一个生物资源的Armstrong‐McGehee强耦合交错扩散系统。首先，通过线性化方法和构造Lyapunov 函数得到弱耦合反应扩散系统非负平衡点的局部和全局渐近稳定性；其次，分析交错扩散系数对非负平衡点稳定性的影响，证明了当交错扩散系数充分大时会产生T uring不稳定现象。
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