The Computer Numerical Simulations and Qualitative Analysis of a Predator-Prey Model with Nonlinear Increasing Rate

Abstract

In this paper a class of two species mutual interference predator-prey model with nonlinear increasing rate and functional response is studied. The stability of equilibrium, the sufficient conditions of nonexistence and conditions of the existence and uniqueness of the limit cycle around the positive equilibrium of the system are discussed. Some new results obtained, the theoretical results in this paper are confirmed by numerical simulations.