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.