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

作　　者：施春玲[1] 王逸勤[2] 陈育栎[1] 

机构地区：[1]福州大学至诚学院,福建福州350002 [2]福建教育学院,福建福州350002

出　　处：《福州大学学报（自然科学版）》2015年第5期582-586,共5页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省教育厅科技资助项目(JA13361);福建省自然科学基金资助项目(2015J01012)

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.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 .

关 键 词：捕食-食饵系统 平衡点 时滞 全局吸引 

分 类 号：O175.14[理学—数学]