Qualitative Analysis for a Prey-Predator System of Holling-(n + 1)Functional Response with Ricker-type Growth Rate
The qualitative properties of a prey-predator system with Holling-(n + 1) functional response and a Ricker-type growth rate are completely investigated.By using discriminant analysis,Poincaré-Bendixson ring domain Theorem and The uniqueness theorem of Zhang Zhifen,the necessary and sufficient condition to guarantee the uniqueness of limit cycles and global asymptotically stable of equilibrium is given.