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

作　　者：L. N. Nkamba J. M. Ntaganda H. Abboubakar J. C. Kamgang Lorenzo Castelli 

机构地区：[1]Department of Mathematics, Higher Teacher Training College, University of Yaoundé I, Yaoundé , Cameroon [2]Laboratoire d’Analyse, Simulation et Essai (LASE), Ngaoundé ré , Cameroon [3]Department of Mathematics, School of Science, College of Science and Technology, University of Rwanda, Butare, Rwanda [4]Laboratoire de Mathé matiques Expé rimentales (LAMEX), Ngaoundere, Cameroon [5]Department of Computer Engineering, University of Ngaoundé ré , UIT, Ngaoundé ré , Cameroon [6]Department of Mathematics and Computer Science, ENSAI-University of Ngaoundere, Ngaoundé ré , Cameroon [7]DIA-University of Trieste, Trieste, Italy

出　　处：《Open Journal of Modelling and Simulation》2017年第1期98-112,共15页建模与仿真（英文）

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.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 

分 类 号：O1[理学—数学]