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

Qaisar Badshah

IQRA National University, Peshawar, Pakistan.

DOI: 10.4236/am.2015.611170                

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 R₀. If R₀ < 1 then the virus free equilibrium point is stable locally and globally. In the opposite case R₀ > 1, then the model is locally and globally stable at viral equilibrium point. Numerical methods are used for supporting the analytical work.

Keywords

Malicious Objects, Epidemic Model, Viral Equilibrium, Virus Free Equilibrium, Basic Reproduction Number, Stability

Conflicts of Interest

The authors declare no conflicts of interest.

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