Bifurcation and control of disease spreading networks model with two delays

Abstract

In this paper, the dynamical behaviors are investigated for a complex network with two independent delays. Instead of taking time delays as bifurcation parameters, we choose probability p$$ p $$ and parameter μ$$ \mu $$ as the control parameters to study their effects on local stability and Hopf bifurcation, respectively. Moreover, the conditions for generating Hopf bifurcation are given. Furthermore, we further discuss the effects of two time delays on the critical values of parameters p$$ p $$ and μ$$ \mu $$. Finally, numerical simulations are used to illustrate the validity of the obtained results.