【摘要】 讨论具有避难所的三种群捕食者-食饵系统,利用微分方程比较定理得到保证此系统持久生存的充分条件;通过构造合适的Lyapunov函数,得到了保证该系统全局吸引的充分条件。最后举例说明结果的可行性。更多还原

【Abstract】 A three-predator-prey system with refuges was studied. Sufficient conditions guaranteeing the permanence of the system were determined by using comparison theory. After that,by constructing a suitable Lyapunov function,sufficient conditions were derived for the global asymptotic stability of the system. Finally,an example was carried out to show the feasibility of the main results.更多还原