Mathematical model for the secondary infection of infectious disease with incorporated the disease induced death rate

We construct the mathematical model and consider the secondary infection cases and the death rate from the dengue virus infection with clinical diagnosis are incorporated into Susceptible-Infectious-Recovered-Susceptible mathematical model. This paper, we use the real data in Thailand between 1997 and 2010. The model exhibits two equilibrium states are locally asymptotically stable, the disease free and the endemic equilibrium states. The numerical simulations are presented to confirm our results by using the real data in Thailand.