Faculty of Civil Engineering, Architecture and Geodesy ; Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture
Abstract
The structure of solutions of the three dimensional chemostat competition system is analysed. The stability of equilibrium points and the three dimensional Hopf bifurcation of the system are discussed. The conditions of the existence of limit cycles on the two dimensional stable manifold when one microorganism vanishes are obtained. Some examples are used to show the applicability of the results
