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  • 标题:Global Stability of a SVEIR Epidemic Model: Application to Poliomyelitis Transmission Dynamics
  • 本地全文:下载
  • 作者:L. N. Nkamba ; J. M. Ntaganda ; H. Abboubakar
  • 期刊名称:Open Journal of Modelling and Simulation
  • 印刷版ISSN:2327-4018
  • 电子版ISSN:2327-4026
  • 出版年度:2017
  • 卷号:05
  • 期号:01
  • 页码:98-112
  • DOI:10.4236/ojmsi.2017.51008
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要: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.
  • 关键词:Deterministic SVEIR Model;Poliomyelitis;Imperfect Vaccine;Direct Lyapunov Method;Equilibrium States;Global Stability
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