摘要
通过构造适当的Lyapunov函数,得到模型正平衡点和边界平衡点全局稳定的充分条件.研究表明,避难所大小是影响系统动力学行为的一个关键性因素;在系统正平衡点存在时,捕食者的密度制约对捕食者与食饵的种群密度有重要影响.
The dynamic behavior of predator＇s density dependence for Lotka-Voterra predator-prey model incorporating prey refuge is studied in this paper.By constructing a suitable Lyapunov function,some sufficient conditions are obtained for global asymptotical stability of the interior equilibria and boundary equilibria of the model.The study shows that refuge is a key factor which affects dynamic behavior of the model.When the interior equilibria exist,predator＇s density dependence has a major impact on predator and prey population density.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第6期699-703,共5页
Journal of Fuzhou University(Natural Science Edition)
基金
福建省自然科学基金资助项目(2011J01007)
福建省科技创新平台计划资助项目(2009J1007)
福建省教育厅科研资助项目(JB09001)
