COMPLEX DYNAMICS IN A MODIFIED MACARTHUR–ROSENZWEIG MODEL WITH PREDATOR PARING

Abstract

In this work we propose an ecological model, which is a modified version of the Bazykin model. This model of predator–prey interaction emphasizes predator pairing that yields steady state, periodic and extinction stable solutions. Moreover, we find attractor coexistence between limit cycles, steady states, and the extinction solution, which is always a stable attractor. We also study this model as a spatially extended system in one and two dimensions and obtain Turing patterns such as stripes and spots as well as the so-called black-eye patterns, and, as in the homogeneous case, the spatial patterns coexist with the homogeneous extinction solution.