Global dynamics of 3D competitive Lotka-Volterra equations with the identical intrinsic growth rate

Abstract

This paper focuses on investigating complete global topological classification of the three dimensional competitive Lotka-Volterra system with the identical intrinsic growth rate in the compactification of the positive octant of R3 including its infinity. The system is divided into 37 topological classes among 33 stable nullcline classes by the relation on the parameters of competitive system.