Global stability of multi-group SEIQR epidemic models with stochastic perturbation in computer network

Abstract

In this paper, a class of multi-group SEIQR models with random perturbation in computer network is investigated. The existence and uniqueness of global positive solution with any positive initial value are obtained. The sufficient conditions on the asymptotic behavior of solutions around the disease-free equilibrium and endemic equilibrium of the corresponding deterministic model are established. Furthermore, the existence and uniqueness of stationary distribution are also obtained. Lastly, the analytical results are illustrated by the numerical simulations.

Keywords

• computer network
• multi-group stochastical seiqr epidemic model
• asymptotic behavior
• lyapunov function
• numerical simulation