Modeling of Dengue with Impact of Asymptomatic Infection and ADE Factor.

In this paper, a nonlinear vector-host model has been proposed and analyzed for the two dengue serotypes incorporating ADE effect. The model considers that the asymptomatic infected people are more responsible for secondary infection than that of symptomatic ones and differentiates between them. The existence and stability analysis have been performed for various equilibrium states. Basic reproduction number is found to be directly proportional to ADE parameter. This means that increasing ADE parameter increases the basic reproduction number which not only enhances the severity of serotype-1 free state but also destabilizes the disease-free state. Numerical simulation has been carried out for the stability of endemic state and found to be locally stable for choice of initial conditions in its neighborhood. The persistence of disease in periodic form is also obtained for a suitable choice of data. Sensitivity analysis has been performed with respect to transmission parameters involved in basic reproduction number. [ABSTRACT FROM AUTHOR]