中文摘要：

研究一类具反馈控制的两种群互惠系统，运用常微分方程的平衡点理论，探讨该系统在平衡点处的稳定性．通过构造适当的Lyapunov函数，得到相应系统在正平衡点处全局稳定的充分条件．最后通过数值模拟说明所得结果的正确性．

英文摘要：

A two-species mutualistic system with feedback the theories of ordinary differential equation, the stabilities of the equilibrium of the system are dis- cussed. Sufficient conditions for the global stability of the positive equilibrium are given by con- structing suitable Lyapunov function. The numerical simulation is presented to illustrate the effec- tiveness of the results.