Modeling and analysis of an SI1I2R epidemic model with nonlinear incidence and general recovery functions of I1


Thirthar A. A. , Naji R. K. , Bozkurt F. , Yousef A.

Chaos, Solitons and Fractals, vol.145, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 145
  • Publication Date: 2021
  • Doi Number: 10.1016/j.chaos.2021.110746
  • Title of Journal : Chaos, Solitons and Fractals

Abstract

© 2021In this paper, we established a mathematical model of an SI1I2R epidemic disease with saturated incidence and general recovery functions of the first disease I1. Considering the basic reproduction number, we obtained conditions for both disease-free and co-existing cases. The equilibrium points local stability is verified by using the Routh-Hurwitz criterion, while for the global stability, we used a suitable Lyapunov function to analyze the endemic spread of the positive equilibrium point. Moreover, we carried out the local bifurcation around both equilibrium points (disease-free and co-existing), where we obtained that the disease-free equilibrium point undergoes a transcritical bifurcation. We conduct numerical simulations that supported our theoretical findings.