Dynamic Analysis of the COVID-19 Epidemic Model with Vaccination and Environmental Transmission
Based on the method of mathematical modeling of infectious disease dynamics and the transmission mechanism of COVID-19,an SEIARW epidemic model is established,which incorporating vaccination and environmental transmission.Firstly,the control reproduction number of the model is calculated,and then the existence and uniqueness of the endemic equi-librium are given.Furthermore,two Lyapunov functions are constructed to prove the global stability of both the disease-free equilibrium and the endemic equilibrium.Finally,numerical simulations have been carried out to draw variation lines of the control reproduction number corresponding to its parameters and to fit the epidemic data of symptomatic in Beijing from November 20 to December 5,2022.The results show that increasing vaccination coverage and vaccine effectiveness can reduce the final size and strengthening the elimination of virus in the environment can effectively reduce the number of the exposed,asymptomatic and symptomatic.Meanwhile,scientific prevention and control strategies should be formulated according to local conditions to avoid excessive disinfection damaging human health and polluting the environ-ment.
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