Abstract:
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The emergence of COVID-19 demonstrates the importance of understanding the transmission and spread of pandemic. In this project, we consider a susceptible-exposed-infected-recovered-deceased system of differential equations to describe relationship among the number of susceptible individuals, the number of exposed individuals who are transmitted the virus, the number of infected individuals among the exposed people, the number of recovered individuals from the infected, and the number of deaths from the infected in a town or a country. Based on the empirical results of transmission process of COVID-19 in the United States, we consider a few cases of contact rate, incidence rate, recovery rate, and mortality rate to model the transmission and dynamics of the virus. Numerical analysis and analytical method are used to explore the dynamics and prediction of the pandemic.
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