Dengue 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 R1 , R2 , R12 . The obtained basic reproduction numbers are
then used to test for stabilities whenever R1 < 1 , R2 < 1 , R12 < 1 , disease freeequilibrium
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 , slows down the spread of the disease.