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EnglishThe 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 vacci- nated 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 Rvac > 1 . 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.
| Titolo: | Global Stability of a SVEIR Epidemic Model: Application to Poliomyelitis Transmission Dynamics |
| Autori: | |
| Data di pubblicazione: | 2017 |
| Stato di pubblicazione: | Pubblicato |
| Rivista: | |
| 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 vacci- nated 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 Rvac > 1 . 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. |
| Handle: | http://hdl.handle.net/11368/2895991 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.4236/ojmsi.2017.51008 |
| URL: | http://file.scirp.org/pdf/OJMSi_2017011810563027.pdf |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Nkamba_OJMSi_5_2017.pdf | Articolo pubblicato | Documento in Versione Editoriale |  | Open Access Visualizza/Apri |
