Mathematical Model for the Transmission Dynamics and Control of of Yaws Infection

This study examined the dynamics of the yaws infection in the population by developing a non-linear model for the infection. The model's solution's boundedness and positivity were determined by applying the comparison theorem in conjunction with the integration method. Disease-free equilibrium was established, and the basic reproduction number was derived using the next-generation matrix. The disease-free equilibrium (DFE) of the model was examined locally using the linearization approach. It was discovered that the real parts of the eigenvalues are negative, indicating that the DFE is locally asymptotically stable (LAS). The global stability of the DFE for the model was examined using the Castello-Chavez approach, and the results indicated that the DFE is globally asymptotically stable. The impact of the treatment on the transmission dynamics of the disease has been investigated through numerical simulation of the model using ODE45 in Matlab.