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

Ashraf Adnan Thirthar, Raid Kamel Naji, Fatma Bozkurt and Ali Yousef

Chaos, Solitons & Fractals, 2021, vol. 145, issue C

Abstract: In 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.

Keywords: Epidemiology; Local stability; Global stability; Local bifurcation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921000990

DOI: 10.1016/j.chaos.2021.110746

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