Publications

In this paper, a deterministic mathematical model for Chikungunya virus(Chikv) transmission and control is developed and analyzed to underscorethe effect of vaccinating a proportion of the susceptible human, and verticaltransmission in mosquito population. The disease free, and endemic equilibriumstates were obtained and the conditions for the local and global stabilityor otherwise were given. Sensitivity analysis of the effective reproductivenumber, c R (the number of secondary infections resulting from the introductionof a single infected individual into a population where a proportion isfairly protected) shows that the recruitment rate of susceptible mosquito( M Λ ) and the proportion of infectious new births from infected mosquito( β ) are the most sensitive parameters. Bifurcation analysis of the model usingcenter manifold theory reveals that the model undergoes backward bifurcation(coexistence of disease free and endemic equilibrium when C 1 R < ).Numerical simulation of the model shows that vaccination of susceptiblehuman population with imperfect vaccine will have a positive impact and thatvertical transmission in mosquito population has a negligible effect. To thebest of our knowledge, our model is the first to incorporate vaccinated humancompartment and vertical transmission in (Chikv) model.