%0 Journal Article
%T 一类反馈控制捕食-食饵系统平衡点的全局吸引<br>Global attractivity of the equilibrium point in a predator-prey system with several delays
%A 施春玲
%A 王逸勤
%A 陈育栎
%J 福州大学学报(自然科学版)
%D 2015
%R 10.7631/issn.1000-2243.2015.05.0582
%X 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.<br>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
%K 捕食-食饵系统 平衡点 时滞 全局吸引&lt
%K br&gt
%K predator-prey system equilibrium point delay global attractivity
%U http://xbzrb.fzu.edu.cn/ch/reader/view_abstract.aspx?file_no=201505002&flag=1