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

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  • Phukan, Jyotiska
  • Dutta, Hemen

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.

Suggested Citation

  • Phukan, Jyotiska & Dutta, Hemen, 2023. "Dynamic analysis of a fractional order SIR model with specific functional response and Holling type II treatment rate," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923009062
    DOI: 10.1016/j.chaos.2023.114005
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    References listed on IDEAS

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    1. Mingming Li & Xianning Liu, 2014. "An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, February.
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    Cited by:

    1. Juhui Yan & Wanqin Wu & Qing Miao & Xuewen Tan, 2024. "Global Dynamics and Optimal Control of a Fractional-Order SIV Epidemic Model with Nonmonotonic Occurrence Rate," Mathematics, MDPI, vol. 12(17), pages 1-21, September.

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