Existence of Periodic Solutions for a Predator-Prey System with Sparse Effect and Function Response on Time Scales

This paper investigates the existence of Periodic Solutions for a Predator-Prey Systems with Sparse Effect and Function Response on Time Scales. By using a continuation theorem based on coincidence degree theory. We obtain sufficient criteria for the existence of periodic solutions for the system. Moreover, when the time scale T is chosen as R or Z, the existence of the periodic solutions of the corresponding continuous and discrete models follows. Therefore, the methods are unified to provide the existence of the desired solutions for the continuous differential equations and discrete difference equations.