TITLE:
A General Model for Hepatitis B Disease with Age-Dependent Susceptibility and Transmission Probabilities
AUTHORS:
Danga Duplex Elvis Houpa, Tagne Eric Miamdjo, Tchaptchie Yannick Kouakep
KEYWORDS:
A General Model for Hepatitis B Disease with Age-Dependent Susceptibility and Transmission Probabilities
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.4,
March
10,
2014
ABSTRACT: A SEI model for hepatitis B is constructed
where the susceptibility and other crucial transmission probabilities depend on
the chronological age and the basic reproduction rate R0 is derived. Under suitable
(biological and mathematical) assumptions in a closed population, results of Houpa
D. D. E. et al. [1] are extended from constant case of p and q to age-dependent case: the disease-free equilibrium is globally asymptotically
stable (GAS) if R0 . On the other hand, R0 > 1 induces that endemic equilibrium
is GAS and the system is uniformly persistent.