In this paper, a May cooperative system with feedback controls is proposed and studied. The dynamic behaviors of the system are discussed by using the Lyapunov function method. If b i ≠ 0 $b_{i}eq0$ , i = 1 , 2 $i=1,2$ , we show that feedback control variables have no influence on the global stability of the unique positive equilibrium of the system, which means that feedback control variables only change the position of the positive equilibrium and retain its global stability property. If b i = 0 $b_{i}= 0$ , i = 1 , 2 $i=1,2$ , we can make the system which has a unique globally stable equilibrium or has unboundedly large solutions become globally stable. Some examples are given to illustrate the feasibility of the main results.
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机译：本文提出并研究了带有反馈控制的May合作系统。利用Lyapunov函数方法讨论了系统的动态行为。如果bi≠0 $ b_ {i} neq0 $，i = 1，2 $ i = 1,2 $，则表明反馈控制变量对系统唯一正平衡的全局稳定性没有影响，这意味着反馈控制变量仅改变正平衡的位置并保留其整体稳定性。如果b i = 0 $ b_ {i} = 0 $，i = 1，2 $ i = 1,2 $，我们可以使具有唯一全局稳定均衡或无穷大解的系统变为全局稳定。给出了一些例子来说明主要结果的可行性。
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