Analysis of competitive infectious diseases with multiple strains

As we all known, there are many kinds of strains for a disease. However, the transmission dynamics of such disease is far from being well understood. In this paper, we established a SIS multi-strain model on scale-free network and the dynamics of multi-strain disease was studied by mean-field method. It is proved that the disease-free equilibrium is globally asymptotically stable when the basic reproduction number R0 < 1. It is proved that the equilibrium point with the largest basic reproduction number is globally stable. Our results indicate that competitive exclusion principle also holds for the disease with multiple strains.