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Moneim, I.A., Al-Ahmed, M. and Mosa, G.A. (2009) Stochastic and Monte Carlo Simulation for the Spread of the Hepatitis B. Australian Journal of Basic and Applied Sciences, 3, 1607-1615.

has been cited by the following article:

• TITLE: Modelling and Simulation of the Spread of HBV Disease with Infectious Latent

  AUTHORS: I. A. Moneim, H. A. Khalil

  KEYWORDS: HBV Modelling, Global Stability, Simulation, Two Contact Rates, Basic Reproduction Number R0

  JOURNAL NAME: Applied Mathematics, Vol.6 No.5, May 7, 2015

  ABSTRACT: This paper studies the global behavior of the spread of HBV using a SEIR model with a constant vaccination rate. The infectivity during the incubation period is considered as a second way of transmission. The basic reproduction number R0 is derived as a function of the two contact ratesβ1and β2. There is a disease free equilibrium point (DFE) of our model. When R0 R0 > 1, there is a unique endemic equilibrium. We proved that the endemic equilibrium was globally asymptotically stable when R0 > 1 and that the disease persisted in the population. These results are original for our model with vaccination and two contact rates.