Existence of Multiple Periodic Solution of a Predator-Prey Diffusive System with Smith Growth for Prey

摘要

In this paper, we study the existence of multiple positive periodic so- lutions for a predator-prey system with Non-Monotonic functional response for predator and smith growth for prey, two bounded open sets are obtained by us- ing analytic technique. By means of the continuation theorem based on coinci- dence degree theory, a set of sufficient conditions for this system to have at least two positive periodic solutions is obtained.