ZHANG Jiejie, JIA Yunfeng*
(School of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710119, Shaanxi, China)
Abstract:
A predator-prey model with ratio-dependent and modified Leslie-Gower type functional responses is considered. Using the linearization method, the Lyapunov functional method and the comparison principle of parabolic equations, it is given that some sufficient conditions for the existence and uniqueness, the local and global stability of positive constant solution, and the large-time behavior results for nonconstant positive solutions.
KeyWords:
modified predator-prey model; ratio-dependent functional response; stability; large-time behavior
