具反馈控制和时滞的Lotka-Volterra专性合作系统的全局稳定性

Global stability of a Lotka-Volterra obligate cooperative system with feedback controls and time delays

研究一类具反馈控制和时滞的Lotka-Volterra专性合作系统。通过构造合适的Lyapunov函数,建立了保证系统正平衡点全局稳定性的充分条件。结果表明,系统的正平衡点位置虽然发生了改变,但是反馈控制变量和时滞并没有改变正平衡点的全局稳定性。

A Lotka-Volterra obligate cooperative system with feedback controls and time delays is studied.By constructing a suitable Lyapunov function,the sufficient conditions which ensure the global stability of the system are established.It is shown that the position of the positive equilibrium is changed,but the feedback control variables and time delays have no influence on the global stability property of the positive equilibrium.