Yellow fever is a vector borne disease caused by infected mosquitoes. It is a life threatening disease which is endemic in many parts of the world. Continuous efforts to eradicate and minimize the disease burden are being done using theoretical and statistical models. In this paper, we have considered a mathematical model for transmission of yellow fever for human and mosquito populations. Vaccination and insect repellent are introduced in the model as control measures. Stability analysis for disease free equilibrium is being done. The threshold parameter, that is, reproduction number is calculated which will predict the direction in which disease can be eliminated.

A non linear mathematical model for yellow fever is formulated and analyzed to assess the impact of awareness programmes in the disease transmission. Awareness in humans/host about yellow fever (YF) can help slow down the dynamics of the disease. These programmes may induce changes in behavior of people helping them make a new class named aware class. Control measures are being included in the vector system to inhibit their growth. Stability conditions for disease free equilibrium are calculated. Basic reproduction number is calculated to see the disease dynamics. Through model analysis, it was revealed that these awareness programmes have high impact on the spread of disease. The control on vector population also help disease invasion difficult. Numerical simulation is done to illustrate the effect of above control measures.