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

Abstract In this paper, we established a mathematical model of an S I 1 I 2 R epidemic disease with saturated incidence and general recovery functions of the first disease I 1 . 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.

• Publication year

  2021

• Venue

  Chaos Solitons & Fractals

• Publication date

  2021-04-01

• Fields of study

  Mathematics, Medicine, Environmental Science

• Identifiers
  DOI 10.1016/J.CHAOS.2021.110746
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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