POSITIVE PERIODIC SOLUTIONS OF A DISCRETE RATIO-DEPENDENT PREDATOR-PREY MODEL WITH IMPULSIVE EFFECTS

Abstract

Studies of the dynamics of predator-prey systems are abundant in the literature. In an attempt to account for more realistic models, previous studies have opted for the use of discrete predator-prey systems with ratiodependent functional response. In the present research we go a step further with the inclusion of impulsive effects in the dynamics. More concretely, by assuming that the coefficients involved in the system and the impulses are periodic, we obtain sufficient conditions for the existence of periodic solutions. We present some numerical examples to illustrate the effectiveness of our results.