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.