Abstract
In this paper, we developed and qualitatively analyzed a model for the transmission dynamics of chikungunya virus in a human a nd mosquito populations. The chikungunya virus is transmitted by Aedes mosquitoes usually Aedes albopictus mosquito and it is of big threat to global public health. Rigorous analysis of the model shows that the model has a locally asymptotically stable disease free equilibrium whenever a certain epidemiological threshold quantity, called the basic reproduction number is less than unity (hence, the diseases would not persist in the community). The model has a unique endemic equilibrium when the reproduction number exceeds unity. Furthermore, the model exhibits the phenomenon of backward bifurcation, where the stable disease free equilibrium coexists with a stable endemic equilibrium. Keywords : Chikungunya virus; vertical transmission; stability; backward bifurcation.
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