The people were divided into five compartments: susceptible people (SP), exposed people (EP), symptomatic infected people (IP), asymptomatic infected people (AP), and removed people (RP) including recovered and death people. The birth rate and death rate of people were defined as nP and mP. In this model, we set ɅP = nP × NP where NP refer to the total number of people. The incubation period and latent period of human infection was defined as 1/ωP and 1/ω’P. The infectious period of IP and AP was defined as 1/γP and 1/γ’P. The proportion of asymptomatic infection was defined as δP. The SP will be infected through sufficient contact with W and IP, and the transmission rates were defined as βW and βP, respectively. We also assumed that the transmissibility of AP was κ times that of IP, where 0 ≤ κ ≤ 1.