Author(s)

L. N. Nkamba^1,2*, J. M. Ntaganda³, H. Abboubakar^2,4,5, J. C. Kamgang^5,6, Lorenzo Castelli⁷

¹Department of Mathematics, Higher Teacher Training College, University of Yaoundé I, Yaoundé, Cameroon.
²Laboratoire d’Analyse, Simulation et Essai (LASE), Ngaoundéré, Cameroon.
³Department of Mathematics, School of Science, College of Science and Technology, University of Rwanda, Butare, Rwanda.
⁴Laboratoire de Mathématiques Expérimentales (LAMEX), Ngaoundere, Cameroon.
⁵Department of Computer Engineering, University of Ngaoundéré, UIT, Ngaoundéré, Cameroon.
⁶Department of Mathematics and Computer Science, ENSAI-University of Ngaoundere, Ngaoundéré, Cameroon.
⁷DIA-University of Trieste, Trieste, Italy.

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.

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

Nkamba, L. , Ntaganda, J. , Abboubakar, H. , Kamgang, J. and Castelli, L. (2017) Global Stability of a SVEIR Epidemic Model: Application to Poliomyelitis Transmission Dynamics. Open Journal of Modelling and Simulation, 5, 98-112. doi: 10.4236/ojmsi.2017.51008.