Sensitivity Analysis for the Mathematical Modeling Transmission and Control of Rabies Incorporating Vaccination Class

Abstract

ABSTRACT We propose a mathematical model to study the transmission and control of scabby mouth disease in sheep, incorporating the vaccinated and quarantine classes. The Disease-free equilibrium was obtained and the reproduction number was also computed. The local stability of DFE was analyzed for stability. Sensitivity analysis of basic reproduction number with respect to some parameters of the model was carried out and the sensitive parameters with𝑅0 are presented graphically. The local stability of DFE is stable if 𝑅0 < 1. The sensitivity analysis shows that the contact rate𝛼 is the most sensitive parameter to increase the spread of the disease and vaccination rate 𝜔 is the highest sensitive parameter to control the transmission of scabby.