1Department of Mathematics, University of Neyshabur, Neyshabur, Iran.
2Department of Mathematics, University of Ilam, Ilam, Iran.
The study of differential equations is useful in to analyze the possible past or future with help of present information. In this paper, the behavior of solutions has been analyzed around the equilibrium points for Gause model. Finally, some results are worked out to exist the stable periodic orbit for mentioned predator-prey system.