Bi-modal COVID-19 transmission with Caputo fractional derivative using statistical epidemic cases

• DOI: 10.1016/j.padiff.2024.100732
• Publication Date: 2024-05-31T16:34:04Z
• Authors: Dumitru Baleanu; Sania Qureshi; Abdullahi Yusuf; Amanullah Soomro; M.S. Osman
• Keywords: Operator (biology)

The progression of the still ongoing COVID-19 epidemic must be studied in world differential operators other than those specified with integer-order temporal derivatives, according to scientific studies fields fractional calculus, mathematical modeling, and epidemiology. Infectious diseases leave behind a historical footprint because their long memory. With this mind, article below makes an effort probe epidemiological model using Caputo operator singular kernel power-law type. ability capture evolution complicated phenomena has been demonstrated number studies, prompting us conduct analysis presented here. contains solid reasons while for paradigm presents fixed point concept existence uniqueness its solutions. Hyers–Ulam–Rassias stability aids finding equilibrium, nonlinear least squares method yields unknown parameters that also include model's order. actual cases infection support superiority evidence smaller residuals. numerical simulations are run see how varying important affect disease's spread.