A TWO-STRAIN EPIDEMIC MODEL ON COMPLEX NETWORKS WITH DEMOGRAPHICS

In this paper, we develop a two-strain SIS model on heterogeneous networks with demo-graphics for disease transmission. We calculate the basic reproduction number R-0 of infection for the model. We prove that if R-0 < 1, the disease-free equilibrium is globally asymptotically stable. If R-0 > 1, the conditions of the existence and global asymptotical stability of two boundary equilibria and the existence of endemic equilibria are established, respectively. Numerical simulations illustrate that the degree distribution of population varies with time before it reaches the stationary state. What is more, the basic reproduction number R-0 does not depend on the degree distribution like in the static network but depend on the demographic factors.