A mathematical study of the omicron variant in a discrete-time Covid-19 model

The Covid-19 virus group is one of the most groups of viruses that influenced the life of mankind in the past twenty years. A review of previous models was presented. In this work, we fill the gap in the literature by proposing a discrete-time epidemic model by applying the backward difference scheme to the Omicron variant. In this paper, the authors modeled the spread of Covid-19 mutation variants data from South Africa. This work uses a mathematical model SEAIOH to describe Covid-19 Omicron spreading. Moreover, the analysis of the proposed model is proven for both local and global stability. Thus, the numerical and discussion results align with the analysis theory. According to the proposed model, the dynamical behavior analysis of nodes at each compartment helps to find relations between pandemic and endemic cases. This leads to set protection rules and decreases the number of infected individuals. Furthermore, our results might contribute to public health policy improvements to prevent the spread of the disease.