Melnik, A.V. and Korobeinikov, A. (2013) Lyapunov Functions and Global Stability for SIR and SEIR Models with Age-Dependent Susceptibility. Mathematical Biosciences and Engineering, 10, 369-378.
http://dx.doi.org/10.3934/mbe.2013.10.369

has been cited by the following article:

• 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.