A stage-structure predator-prey system with multiple preys and additional food

In this paper, we investigate a stage-structure predator-prey system with multiple preys and additional food and nonlinear functional response. Using the discrete dynamical system determined by the stroboscopic map, the conditions for global attractivity of preys-eradication periodic solution and the corresponding thresholds are obtained. Permanence conditions and the corresponding thresholds are established via the method of comparison. Our results show that multiple preys and additional food have effect on the thresholds. Furthermore, numerical results indicated that additional food ξ makes the levels of prey become low, but make predator higher in limit time.