讨论了一类具有阶段结构和Holling Ⅱ类功能反应的多种群捕食系统,通过构造适当的Liapunov函数及运用比较定理,得到了系统一致持续生存及其周期系统存在唯一一个全局渐近稳定的正周期解的充分条件.
For a multispecies predator-prey system with stage structure and Holling II type functional response,its persistence and global asymptotical stability are discussed in this paper.By constructing the suitable Liapunov function and using comparison theorem,under appropriate conditions,the result that the uniform persistence of the ecosystem is obtained.Further,if the ecosystem is periodic one,then it has a strictly positive periodic solution which is globally asymptotically stable.