Dynamic analysis of a fractional order SIR model with specific functional response and Holling type II treatment rate

Jyotiska Phukan and Hemen Dutta

Chaos, Solitons & Fractals, 2023, vol. 175, issue P1

Abstract: This paper investigates a fractional order SIR epidemic model with specific functional response and Holling type II treatment rate with fractional derivative in the Caputo sense. A thorough investigation of the existence, uniqueness, non-negativity and boundedness of the solutions has been performed in the beginning. Stability of the equilibria is analysed in the section next to it. Bifurcation analysis has also been carried out for the model. Finally, numerical simulations are used to support the theoretical findings.

Keywords: SIR model; Stability; Equilibrium; Bifurcation; Simulation (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923009062

DOI: 10.1016/j.chaos.2023.114005

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