Analysis of the Effect of Noise on the Rabies Epidemic Model

Abstract

The aim of this research is to explore some novel dynamics of a special model that describes the dynamics of the rabies virus and takes into consideration the impacts of appropriate vaccination. Three compartments are used to categories the population: susceptible, infected, and recovered. Without taking noise into account, the model's basic reproduction number, equilibrium point, and local and global stabilities are examined. The Gaussian three-dimensional white noise process is being used in this study to determine the stochasticity of the noisy system. Additionally, we used Matlab to verify the stochastic results through numerical simulations.