Abstract：The VEIQS model of a class of network worm virus with saturated incidence rate is studied， which takes vaccination and quarantine control strategies into account. The threshold of whether the virus can be controlled is obtained by calculation， and the existence and stability of the equilibria are demonstrated. The method of constructing Lyapunov function is used to obtain that the disease-free equilibrium is globally asymptotically stable when R0〈1， and the virus transmission is controlled effectively. At that time， the global asympotical stability of the endemic equilibrium is proved by using Li-Muldowney geometric criterion when R0〉1， and the virus still existed. Finally， the theoretical results are illustrated by numerical simulation and the relationship between each parameter and threshold is explored through sensitivity analysis.
2023, Vol. 57 
