A deterministic mathematical model was formulated for the two populations with vaccination and quarantine intervention which is proved to be well defined with positive invariant Domain. The disease free and endemic equilibrium were found and analyzed which are globally stable for the effective reproduction number of both the Human and Rodents if less than unit at disease free and greater than unit at endemic equilibrium. The sensitivity analysis were performed and the most sensitive parameters were determined. Furthermore, the analysis has been done by using the estimated parameters and the graphical analysis were presented. The results show reproduction number is 0.00000024768 for Human and 5.3749 for Rodents which revealed that the main contribution of infection is from the Rodents population not only that but also the study reveals that the increase in vaccination and quarantine together could reduce the reproduction number hence eradicate the virus.