一类反馈控制捕食-食饵系统平衡点的全局吸引
Global attractivity of the equilibrium point in a predator-prey system with several delays

研究一类多时滞Lotka-Volterra捕食-食饵系统，通过构造多个Lyapunov函数，建立捕食-食饵系统正平衡点的全局吸引的充分性条件. 并进一步证明了当食饵种群绝灭，有其它食物来源的捕食者也能稳定在某个值.
We study a Lotka-Volterra predator-prey system with several delays. By using the method of multiple Lyapunov functionals，we obtain the sufficient conditions that the positive equilibrium point of predator-prey system is the global stability. Furthermore，under other conditions we establish that the prey is tending to zero while the predator who has other foods will stabilize at a certain solution of a logistic differential equation