Thieme, H. (2011) Global Stability of the Endemic Equilibrium in Infinite Dimension: Lyapunov Functions and Positive Operators. Journal of Differential Equations, 250, 3772-3801.
https://doi.org/10.1016/j.jde.2011.01.007

has been cited by the following article:

• TITLE: Global Stability of a SVEIR Epidemic Model: Application to Poliomyelitis Transmission Dynamics

  AUTHORS: L. N. Nkamba, J. M. Ntaganda, H. Abboubakar, J. C. Kamgang, Lorenzo Castelli

  KEYWORDS: Deterministic SVEIR Model, Poliomyelitis, Imperfect Vaccine, Direct Lyapunov Method, Equilibrium States, Global Stability

  JOURNAL NAME: Open Journal of Modelling and Simulation, Vol.5 No.1, January 18, 2017

  ABSTRACT: The lack of treatment for poliomyelitis doing that only means of preventing is immunization with live oral polio vaccine (OPV) or/and inactivated polio vaccine (IPV). Poliomyelitis is a very contagious viral infection caused by poliovirus. Children are principally attacked. In this paper, we assess the impact of vaccination in the control of spread of poliomyelitis via a deterministic SVEIR (Susceptible-Vaccinated-Latent-Infectious-Removed) model of infectious disease transmission, where vaccinated individuals are also susceptible, although to a lesser degree. Using Lyapunov-Lasalle methods, we prove the global asymptotic stability of the unique endemic equilibrium whenever . Numerical simulations, using poliomyelitis data from Cameroon, are conducted to approve analytic results and to show the importance of vaccinate coverage in the control of disease spread.