Existence of periodic solutions in a model of respiratory syncytial virus RSV

被引:21
作者
Arenas, Abraham J. [1 ]
Gonzalez, Gilberto [2 ]
Jodar, Lucas [3 ]
机构
[1] Univ Cordoba, Dept Matemat & Estadist, Monteria, Colombia
[2] Univ Los Andes, Dept Calculo, Merida, Venezuela
[3] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia 46022, Spain
关键词
respiratory syncytial virus; epidemiological model; periodic solution; continuation theorem; simulation;
D O I
10.1016/j.jmaa.2008.03.049
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
In this paper we study. the existence of a positive periodic solutions for nested models of respiratory syncytial virus RSV, by using a continuation theorem based on coincidence degree theory. Conditions for the existence of periodic solutions in the model are given. Numerical simulations related to the transmission of respiratory syncytial virus in Madrid and Rio Janeiro are included. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:969 / 980
页数:12
相关论文
共 20 条
[1]
Molecular epidemiology of respiratory syncytial virus [J].
Cane, PA .
REVIEWS IN MEDICAL VIROLOGY, 2001, 11 (02) :103-116
[2]
CHEN FD, 2005, J APPL MATH, P153
[3]
CRAIGHEAD JE, 2000, PATHOLOGY PATHOGENES, P53
[4]
Dieudonne J., 1969, FDN MODERN ANAL
[5]
Gaines RE, 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537
[6]
Analysis of an SIR epidemic model with pulse vaccination and distributed time delay [J].
Gao, Shujing ;
Teng, Zhidong ;
Nieto, Juan J. ;
Torres, Angela .
JOURNAL OF BIOMEDICINE AND BIOTECHNOLOGY, 2007,
[7]
Hall C.B., 1992, TXB PEDIAT INFECT DI, P1633
[8]
Global stability and periodicity on SIS epidemic models with backward bifurcation [J].
Hui, J ;
Zhu, DM .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (8-9) :1271-1290
[9]
Stability and bifurcation analysis in a delayed SIR model [J].
Jiang, Zhichao ;
Wei, Junjie .
CHAOS SOLITONS & FRACTALS, 2008, 35 (03) :609-619
[10]
JODAR L, THEORY APPL MATH COM