Abstract:
Presently, COVID-19 (CoronaVirus-2019) virus attacks the whole world due to its high transmission rate. As a result of the efforts of several countries, many vaccines have been invented at present. Several compartmental mathematical models for COVID-19 can be found in the literature. In this paper, a new mathematical model that consists of eight compartments; susceptible (S), exposed (E), vaccinated (V), infected (I), self-quarantine (Q1), quarantine in centers (Q2), hospital isolated (H), and recovered (R) is proposed. Based on the model, the effectiveness of the vaccination factor for the spread of the disease is performed. Based on the matrix operator method, the disease-free reproduction number, Rdf, of the model is derived.
