On Wave Patterns in a Spatially Extended Holling–Tanner Model

Abstract

In this paper we consider the extended spatially Holling–Tanner predator–prey model. We study traveling wave solutions for the model, where the predator equation has a singularity at zero prey population. Using a dynamical systems approach we show analytically and numerically the existence of different types of traveling waves for this model. Further, numerical simulations of the partial differential equations system problems are presented to illustrate and confirm these results.