Bifurcation for a fractional-order Lotka-Volterra predator–prey model with delay feedback control

Abstract

This paper addresses the bifurcation control of a fractional-order Lokta-Volterra predator– prey model by using delay feedback control. By employing time delay as a bifurcation parameter, the conditions of bifurcation are gained for controlled systems. Then, it indications that the onset of bifurcation can be postponed as feedback gain decreases. An example numerical results are ultimately exploited to validate the correctness of the the proposed scheme.

Keywords

• fractional-order
• lotka-volterra predator–prey system
• bifurcation control
• delay feedback control