Modelling the dynamics of Chikungunya in human and mosquito populations

Abstract

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

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