中文摘要：

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。

英文摘要：

We study a Lotka-Volterra predator-prey system with several delays .By using the meth-od 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 .