一类带有线性与比率依赖功能性反应和脉冲投放的捕食系统(英文)

A Kind of Predator-prey System with Linear and Ratio-dependent Functional Response and Impulsive Release

讨论了一类带有线性与比率依赖功能性反应和脉冲投放的一食饵两捕食者系统.运用Floquet和小振幅扰动理论,证明了当投放周期和投放量满足一定条件时,系统食饵绝灭的周期解是全局渐近稳定的,同时研究了系统的持续生存并给出了持续生存的条件.

A kind of one-prey two-predator system with linear and ratio-dependent functional response and impulsive release is presented in this paper. By applying the Floquet theory and small amplitude perturbation skills, it is proved that the prey-free periodic solution of the system is globally asymptotically stable when release period and release population satisfy certain condition. Furthermore, the permanence of the system is investigated and the condition of the permanence is given.