福州大学学报（自然科学版）2012，Vol.40Issue(6)：699-703,5.
捕食者的密度制约和食饵避难所对Lotka-Volterra捕食-食饵模型动力学行为影响的研究
The influence of predator' s density dependence and prey refuge on the Lotka-Volterra predator-prey model
摘要
Abstract
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.关键词
捕食-食饵模型/密度/制约/避难所/稳定性Key words
predator - prey model/ density/ dependence/ refuge/ stability分类
数理科学引用本文复制引用
马兆芝,吴玉敏,陈凤德,吴承强..捕食者的密度制约和食饵避难所对Lotka-Volterra捕食-食饵模型动力学行为影响的研究[J].福州大学学报（自然科学版）,2012,40(6):699-703,5.基金项目
福建省自然科学基金资助项目(2011J01007) （2011J01007）
福建省科技创新平台计划资助项目(2009J1007) （2009J1007）
福建省教育厅科研资助项目(JB09001) （JB09001）
