PERIODIC SOLUTIONS FOR A CLASS OF PREDATOR- PREY SYSTEM ON TIME SCALES WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE AND DIFFUSION

The existence of periodic solutions for a class of predator- prey system on time scales with Beddington-DeAngelis functional response and diffusion is investigated. By using a continuation theorem based on coincide degree theory, sufficient criteria for the existence of periodic solutions of the system are obtained. The results provide unified existence theorems of solutions for the continuous differential equations and discrete difference equations.