Impact of Yellow Fever with Multiple Control Measures: Mathematical Model

Abstract

Abstract 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.