Mathematical Model for Dengue Fever with Vertical Transmission and Control Measures

Abstract

Dengue Fever is one of the infectious vector-borne diseases transmitted to humans through the biting ofAedes mosquito species. In this study, we formulate a deterministic mathematical model with vertical transmissionand control measures for simulating Dengue Fever transmission between humans and vectors. Themodel was analyzed and we determined the basic reproduction number. Also, stability analysis of the modelequilibrium points derived with respect to the basic reproduction number value and the forward bifurcationoccurred for the model. Sensitivity analysis for the basic reproduction number achieved local and global andwe determined the important parameters for Dengue Fever transmission. Through the numerical simulationof the model by using the Runge–Kutta fourth order method we investigate the effects of the control measureson the model compartments. Recommendations for eradicating and reducing Dengue Fever transmission areprovided.