Fractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate

Coronavirus disease 2019 (COVID-19) is a disease
caused by severe acute respiratory syndrome coronavirus
2 (SARS CoV-2). It was declared on March 11,
2020, by the World Health Organization as a pandemic
disease. Regrettably, the spread of the virus and mortality
due to COVID-19 have continued to increase daily. The
study is performed using the Atangana–Baleanu–Caputo
operator with a harmonic mean type incidence rate. The
existence and uniqueness of the solutions of the fractional
COVID-19 epidemic model have been developed
using the fixed point theory approach. Along with stability
analysis, all the basic properties of the given model
are studied. To highlight the most sensitive parameter
corresponding to the basic reproductive number, sensitivity
analysis is taken into account. Simulations are conducted
using the first-order convergent numerical approach
to determine how parameter changes influence the system’s
dynamic behavior.