具HollingⅡ类功能反应的时滞扩散模型的全局稳定性  

Global Stability for a Diffusive Model with Time Delay and Functional Response

作　　者：黄玉梅[1] 

机构地区：[1]四川大学数学学院

出　　处：《生物数学学报》2006年第3期370-376,共7页Journal of Biomathematics

基　　金：国家自然科学基金(10371083);四川省学术与技术带头人基金(1200321)

摘　　要：研究一类含分布时滞和HollingⅡ类功能反应的扩散模型,得到了系统一致持久和其周期系统存在唯一全局渐近稳定的周期解的充分性条件．In this paper, a diffusive model with distributive time delay and Holling type Ⅱ functional response is studied. It is proved that the system is uniformly persistent under appropriate conditions. Further, if the system is a periodic one, it can have a strictly positive periodic solution which is global asymptotic stable under appropriate conditions.

关 键 词：时滞 扩散 HOLLING Ⅱ类功能反应 持久性 周期解 全局渐近稳定性 

分 类 号：O175.13[理学—数学]