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

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.