The COVID-19 pandemic has had a profound impact on global health and economy. One of the significant challenges in managing the pandemic is the continuous mutation of the SARSCoV-2 virus, the causative agent of COVID-19. In this paper, we explore the mathematical attitude towards understanding and modeling the continuous mutation of the COVID-19 virus. We discuss the relevance of mathematical modeling in tracking viral mutations, analyzing their impact on transmission dynamics, and assessing the effectiveness of control measures. We present various mathematical models that have been developed to study the mutation patterns, predict future mutations, and evaluate the potential consequences of these mutations on public health