一类含扩散时滞的生态模型的周期解存在与稳定性  

The Existence and Stability of Periodic Solution for a Competitor-Competitor-Mutualistdiffusive Model

作　　者：徐天华[1] 马丽蓉[1] 帅维成[1] 

机构地区：[1]四川民族学院数学系,四川康定626001

出　　处：《广西民族大学学报（自然科学版）》2009年第3期50-53,共4页Journal of Guangxi Minzu University ：Natural Science Edition

摘　　要：研究一类Competitor-Competitor-Mutualist生态模型,通过特征值问题来构造系统的上下解,利用比较原理证明在一定条件下该模型的零平衡态及半平凡周期解的全局稳定性,并获得了这个系统具有一对周期拟解的充分条件,且对任意的非负初值函数这对周期拟解构成的区间是此系统的一个吸引子.In this paper, The existence and stability of periodic solution in a Competitor-Competitor- Mutualist diffusive model with distributed time delay are investigated by using the method of upper and lower solutions and comparison principle. It is shown that the trivial solution and semi-trivial periodic solution of the models are globally asymptotically stable under some appropriate conditions, the systems have a pair of periodic quasi-solutions and the sector between the quasi-solutions is an attractor of the models with respect to every nonnegative initial function.

关 键 词：Competitor-Competitor-Mutualist模型 上下解 全局渐近稳定 周期解 

分 类 号：O175.26[理学—数学]