AM  Vol.6 No.5 , May 2015
Modelling and Simulation of the Spread of HBV Disease with Infectious Latent
Author(s) I. A. Moneim1,2, H. A. Khalil1,3
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 rates β1 and β2 . There is a disease free equilibrium point (DFE) of our model. When R0 < 1, the (DFE) is asymptotically stable. On the other hand, if 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.

Cite this paper
Moneim, I. , Khalil, H. (2015) Modelling and Simulation of the Spread of HBV Disease with Infectious Latent. Applied Mathematics, 6, 745-753. doi: 10.4236/am.2015.65070.
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