Advancing COVID-19 Understanding: Simulating Omicron Variant Spread Using Fractional-Order Models and Haar Wavelet Collocation

This study presents a novel approach for simulating the spread of Omicron variant SARS-CoV-2 virus using fractional-order COVID-19 models and Haar wavelet collocation method. The proposed model considers various factors that affect transmission, while method provides an efficient accurate solution fractional derivatives used in model. analyzes impact valuable insights into its transmission dynamics, which can inform public health policies strategies are aimed at controlling spread. Additionally, this study’s findings represent significant step forward understanding pandemic evolving variants. results simulation showcase effectiveness demonstrate potential to advance field research. COVID epidemic is reformulated by Caputo sense. existence uniqueness illustrated model, taking account some fixed point theory. stability analysis system established incorporating Hyers–Ulam For numerical treatment simulations, we apply parameter estimation recorded cases Pakistan from 23 June 2022 August presented.