Dynamics of a discrete predator-prey system with nonconstant death rate

Abstract

In this paper, we will consider a discrete non-autonomous predatorprey system with nonconstant death rate.We give sufficient conditions in order to get a dissipative and permanent system.By using the continuation theorem based on the system Gaines and Mawhin's coincidence degree, we study the existence of positive periodic solutions when the coeficients of system are periodic.A numerical example is given to illustrate the effectiveness of the main result.