Computationally Efficient Numerical Analysis of Rotavirus Epidemic Model

Abstract

In this manuscript, a mathematical model of a rotavirus infection integrating the vaccinated class is numerically analyzed. Efficient numerical analysis of an epidemic model includes three main features positivity, boundedness, and dynamical consistency. These characteristics have been observed by using various numerical techniques. Standard finite difference scheme, Euler's, RK-4 is widely used to solve non-linear mathematical models. Unfortunately, these schemes have some limitations and do not preserve the essential features of the mathematical model. A competitive non-standard finite difference (NSFD) scheme is proposed to discuss the dynamics of rotavirus in a population. The proposed scheme exhibits the true behavior of the rotavirus disease and shows a good agreement with the theoretical findings. Moreover, the impact of vaccines on the rotavirus dynamics has also been studied.