Modelling the transmission dynamics of mumps with control measures

Abstract

This paper proposes a nonlinear deterministic model of mumps transmission dynamics with double-dose vaccination, public health education campaigns, and quarantine control strategies. The stability analysis of the equilibria is established via Routh-Hurwitz criteria and the Lyapunov function method. Also, sensitivity analysis is conducted to assess the parameters that significantly influence the dynamics of mumps transmission. The numerical results of the model show that the number of mumps infections decreases when at least a single control measure is implemented effectively. Furthermore, the findings show that the most effective method of reducing mumps transmission from the community is a combination of three control measures. Therefore, this study recommends that there is a necessity to increase double-dose vaccination, public health education campaigns, and quarantine so as to reduce mumps transmission.