Applied Mathematics

Volume 6, Issue 11 (October 2015)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

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

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DOI: 10.4236/am.2015.611170    2,436 Downloads   3,260 Views  Citations
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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.

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Badshah, Q. (2015) Global Stability of SEIQRS Computer Virus Propagation Model with Non-Linear Incidence Function. Applied Mathematics, 6, 1926-1938. doi: 10.4236/am.2015.611170.

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