Modelling and Simulation of the Spread of HBV Disease with Infectious Latent

DOI: 10.4236/am.2015.65070   PDF   HTML   XML   3,915 Downloads   4,953 Views   Citations

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.

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Moneim, I. and 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.

Conflicts of Interest

The authors declare no conflicts of interest.

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