Global Stability of SEIQRS Computer Virus Propagation Model with Non-Linear Incidence Function

Abstract

In this paper, we present an SEIQRS epidemic model with non-linear incidence function. The proposed model exhibits two equilibrium points, the virus free equilibrium and viral equilibrium. The model stability is connected with the basic reproduction number R 0 . If R 0 < 1 then the virus free equilibrium point is stable locally and globally. In the opposite case R 0 > 1, then the model is locally and globally stable at viral equilibrium point. Numerical methods are used for supporting the analytical work.