Stability and Bifurcation in Enterprise Symbiosis System with Delay

Abstract

In this paper, a two-enterprise symbiosis Lotka--Volterra system with continuous delay is considered. We first introduce the characteristic of enterprise system, and then investigate the stability of the positive equilibrium and the existence of Hopf bifurcations. The direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem.