Open Journal of Modelling and Simulation

Volume 3, Issue 3 (July 2015)

ISSN Print: 2327-4018   ISSN Online: 2327-4026

Google-based Impact Factor: 2.79  Citations  

Stability Analysis of an SIR Epidemic Model with Non-Linear Incidence Rate and Treatment

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DOI: 10.4236/ojmsi.2015.33011    5,006 Downloads   6,898 Views  Citations

ABSTRACT

We consider a SIR epidemic model with saturated incidence rate and treatment. We show that if the basic reproduction number, R0 is less than unity and the disease free equilibrium is locally asymptotically stable. Moreover, we show that if R0 > 1, the endemic equilibrium is locally asymptotically stable. In the end, we give some numerical results to compare our model with existing model and to show the effect of the treatment term on the model.

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Adebimpe, O. , Bashiru, K. and Ojurongbe, T. (2015) Stability Analysis of an SIR Epidemic Model with Non-Linear Incidence Rate and Treatment. Open Journal of Modelling and Simulation, 3, 104-110. doi: 10.4236/ojmsi.2015.33011.

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