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This chapter investigates the transmission dynamics of a fractional-order COVID-19 epidemic model with public awareness as a nonlinear incidence rate. The total population is divided into four compartments, namely, susceptible individuals with COVID, \({S}_{C}(t)\) , infected individuals, \({I}_{C}(t)\) , hospitalised individuals, \({H}_{C}(t)\) , and recovered individuals, \({R}_{C}(t)\) . The proposed COVID-19 model includes the public awareness rate, which means the individuals are maintaining social distancing, wearing masks, sanitizing, quarantining, and lockdown. We calculated the basic reproduction number of the model. The local and global stability of the proposed fractional-order model is also discussed. The fractional-order COVID-19 model is numerically solved using Euler’s method and validates the data with theoretical analysis that explains the effects of public awareness on the control of the COVID-19 disease. The numerical simulation shows that the public awareness rate (face masks, social distancing, quarantine, lockdown, immigration) is crucial for stability and disease control.

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Global Dynamics of a Fractional-Order COVID-19 Epidemic Model with a Nonlinear Incidence Rate

  • 章节

  • 发表日期：

    2025年

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  • Mahesh Yeolekar,
  • Bijal Yeolekar,
  • Parvaiz Ahmad Naik,
  • Radhika Dave,
  • Yashansi Shukla

摘要

This chapter investigates the transmission dynamics of a fractional-order COVID-19 epidemic model with public awareness as a nonlinear incidence rate. The total population is divided into four compartments, namely, susceptible individuals with COVID, \({S}_{C}(t)\) , infected individuals, \({I}_{C}(t)\) , hospitalised individuals, \({H}_{C}(t)\) , and recovered individuals, \({R}_{C}(t)\) . The proposed COVID-19 model includes the public awareness rate, which means the individuals are maintaining social distancing, wearing masks, sanitizing, quarantining, and lockdown. We calculated the basic reproduction number of the model. The local and global stability of the proposed fractional-order model is also discussed. The fractional-order COVID-19 model is numerically solved using Euler’s method and validates the data with theoretical analysis that explains the effects of public awareness on the control of the COVID-19 disease. The numerical simulation shows that the public awareness rate (face masks, social distancing, quarantine, lockdown, immigration) is crucial for stability and disease control.