基于比率的三种群捕食系统的持久性与全局渐近稳定性

Persistence and global stability of three-species ratio-dependent predator-prey system

研究一类具有连续时滞和基于比率的两个捕食者和一个食饵的三种群系统,证明了该系统在适当条件下的一致持久性;通过构造Lyapunov泛函,给出了该系统在有时滞情况下的正平衡点全局渐近稳定的充分条件.

A three-species (two predators and a bait) ratio-dependent system with distributed delay is studied. It is shown that the system is uniformly persistent under some appropriate conditions, and sufficient conditions are obtained for the global stability of the positive equilibrium of the system.