具有Holling Ⅲ类功能性反应的多种群竞争捕食系统全局稳定的条件(英文)

Conditions for Global Attractivity of Multispecies Ecological Competition-Predator System with Rolling Ⅲ Type Functional Response

研究了具有Holling Ⅲ类功能性反应的非自治多种群竞争捕食生态系统所有参数都是时变的.证明了此系统在适当的条件下是一致持续生存的,进一步通过构造适当的Lyapunov函数,得到保证系统全局稳定周期解的充分性条件.

In this paper, a nonautonomous multispecies ecological competition-predator system with Rolling's Ⅲ type functional response is studied, where all parameters are time dependent. It is proved that the system is uniform persistent under suitable condition. Furthermore, the sufficient conditions are established for the global attractivity of a periodic solution of the system.