Modelling the super-infection of two strains of dengue virus

Abstract

AbstractDengue is one of the vector borne diseases that threatened human race. It is imperative to understand the transmission dynamics of dengue, so that proficient and useful control can be developed. In this paper, we formulated dynamic transmission of two strains super-infection dengue. We used next generation matrix to obtain the basic reproduction numbers$${\mathcal {R}}_1$$R1,$${\mathcal {R}}_2$$R2,$${\mathcal {R}}_{12}$$R12. The obtained basic reproduction numbers are then used to test for stabilities whenever$${\mathcal {R}}_1<1$$R1<1,$${\mathcal {R}}_2<1$$R2<1,$${\mathcal {R}}_{12}<1$$R12<1, disease free-equilibrium is globally asymptotically stable or otherwise unstable. We also carried out numerical simulation with the aid of python software. Our results reveal that decreasing the value of tansmission probability$$\alpha ,$$α,slows down the spread of the disease.