Bifurcation of N-Dimensional Fractional-Order Competitive Website Model with Delay

Abstract

This paper studies the stability and bifurcation of [Formula: see text]-dimensional fractional competitive website model with time delay. The system parameters are selected as bifurcation parameters, and the stability results and bifurcation criteria of the system are discussed. The theoretical results show that the stability region of the system can be extended or reduced by selecting appropriate system parameters. In addition, the effects of order and time delay on system dynamics are analyzed. The results show that the bifurcation can be delayed when the growth ability of website competition is small, the order is small or the competition between websites is large. Finally, numerical simulations verify the rationality of the theoretical results.