Stability analysis of predator-prey interaction with a crowding effect

Abstract

The mathematical modeling of species interactions usually relies on competition  models. However, it is known that species interactions may exhibit more complicated patterns with a crowding effect and this can be particularly important in benign environments. In this paper we discuss competition models with a crowding effect and indicate how they may be analyzed. We also propose a different approach to studying the global asymptotic stability of coexistence steady-state.

Keywords: Competition, Stability