The study of stability analysis of the Ebola virus via fractional model

Abstract

This paper presents a fractional mathematical model for analyzing the dynamics of Ebola virus diseases. The model consists of five categories: individuals with low susceptibility to the virus S1(t), individuals with high susceptibility S2(t), infected individuals I(t), exposed individuals E(t), and recovered R(t) individuals. In this study, we have proven the positive bounded solutions for the model under consideration. Additionally, it assesses the durability of a state without disease by utilizing the fundamental reproduction number. Moreover, an examination is conducted to assess the stability of the model. In order to validate and exemplify the research, a computational model is employed, and its results correspond with the analysis outlined in the paper.

Keywords

• Ebola virus
• Basic reproduction number
• Disease-free equilibrium
• Stability analysis
• Fractional Euler method