In this paper, we formulate a deterministic mathematical model SEAIRB to study the dynamics behavior of COVID-19 pandemic. The model incorporates the impact of two strategies, health education and public sanitation, on the spread of the epidemic. Firstly, by using Routh-Hurwitz criteria, the disease-free equilibrium is locally asymptotically stable when the basic reproduction number does not exceed 1. Further, by using the comparison theorem, the global asymptotic stability of the disease-free equilibrium is obtained. Finally, numerical simulations are performed to verify the theoretical analysis and analyze the impact of different control strategies on the spread of the epidemic.