Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operators

Abstract

The spread of COVID-19 in the Democratic Republic of the Congo is investigated in this work using fractional operators. To model the spread of the current COVID-19 variant among different age groups, we employ the epidemic scenario in the Democratic Republic of the Congo as a case study. In this study, the key characteristics of an epidemic problem such as COVID-19 are validated for existence and positivity, and unique solutions are demonstrated by applying certain findings from fixed-point theory. We also use the first derivative function to confirm the overall stability of the proposed system. The established methodology, which examines the impact of COVID-19 on various age groups, is highly sophisticated. Additionally, we use a method created by Atangana to solve the given model. This method stands as one of the most advanced approaches for addressing infectious problems; we also conduct an error analysis to identify and rectify any inaccuracies. Lastly, we assess the parameters to determine the effects of illness, and we provide numerical simulations implemented in MATLAB. These simulations illustrate the behavior of this infectious disease among various age groups in the Democratic Republic of the Congo.

Keywords

• boundedness
• global stability
• uniqueness
• positivity
• mittag-leffler