A study of Dengue Disease Model with Vaccination Strategy

Abstract — In this paper, we proposed and analyzed the effects of vaccination strategy on the transmission of the Dengue diseases. We propose SIR model with logistic recruitment rate, and analyzed the Steady state and stability of the equilibrium points. If 0 1R then the non- infected steady state 1P will be stable. Also if 0 1R then the endemic equilibrium 2P is stable. Numerical simulations show that the effect of newborn vaccination is significantly less effective than vaccinating susceptible population. Also the effect of vaccination is to replace multiple outbreaks with a single outbreak