Sensitivity of Dengue Fever Transmission Model with respect to Parameters

Abstract

Dengue is the most common mosquito-borne viral disease in human. Motivated by the failure of current methods to control dengue fever, we study the sensitivity of the dynamics of the dengue transmission model with respect to parameters with aim to identify the most important parameters in order to control dengue. Three dimensional model (consisting susceptible, infective host population and infective vector population) is considered. Deriving the sensitivity equation we study the variation of the host/vector infective population with respect to parameters. Effective contact rates (human to vector and vector to human), death rate of vector population and the probability of susceptible host can permanently be immunized are considered as parameters. Results report that variation of the dynamics of the model with respect to these parameters is significant on the control point of view.