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Bernouilli, D. (1760) Essai d’une nouvelle analyse de la mortalite causse par la petite verole et des avantages de l’innoculation pour al prevenir. In Memoires de Mathematiques et de Physique. Academic Royale Des Science, Paris, 1-45.

has been cited by the following article:

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

  AUTHORS: Olukayode Adebimpe, Kehinde Adekunle Bashiru, Taiwo Adetola Ojurongbe

  KEYWORDS: SIR Epidemic Model, Basic Reproduction Number, Local Stability, Treatment, Saturated Incidence Rate

  JOURNAL NAME: Open Journal of Modelling and Simulation, Vol.3 No.3, July 2, 2015

  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.