Traveling waves in a diffusive predator-prey model with general functional response

Abstract

This article concerns the existence of traveling waves in a diffusive predator-prey model with general functional response. By applying the Schauder fixed theorem, we establish existence results of traveling wave solutions. The results are then applied to the predator-prey model with Holling type-II response. Our results indicate that there is a transition zone moving from the state with no species to the coexistence state of both species.

Keywords

• Traveling waves
• general functional response
• Schauder's fixed theorem