Bifurcation Analysis of an SIR Epidemic Model through Differential Equation Approach

Sumit Kumar Banerjee and John Lanta
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Sumit Kumar Banerjee: PNG University of Technology, PNG
John Lanta: PNG University of Technology, PNG

European Journal of Mathematics and Statistics, 2023, vol. 4, issue 4, 1-6

Abstract: The well-known SIR models have been around for many years. Under some suitable assumptions, the models provide information about when the epidemic occurs and when it doesn’t. The models can be restructured by incorporating birth & death rate, portion of population vaccinated, carrying capacity of population, saturation rate, growth rate, time delay and immunization to analyze the outcome mathematically. In this regard several SIR models including birth, death and immunization as well as bifurcation analysis associated with disease free and epidemic equilibrium have been studied. Findings of this research are with some suitable assumptions how these incorporated parameters as well as bifurcation analysis can play an important role in determining epidemic status in the society in more reliable and convenient way.

Keywords: SIR Models; epidemic; carryinh capacity; immunization; Equilibrium; bifurcation (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:4:y:2023:i:4:id:14239

DOI: 10.24018/ejmath.2023.4.4.239

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