Multiple epidemic waves in delayed susceptible-infected-recovered models on complex networks

被引:12
作者
Zou, Shaofen [1 ]
Wu, Jianhong [2 ]
Chen, Yuming [3 ]
机构
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[2] York Univ, Ctr Dis Modeling, N York, ON M3J 1P3, Canada
[3] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
来源
PHYSICAL REVIEW E | 2011年 / 83卷 / 05期
基金
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词
DENSITY-DEPENDENT BIRTH; GLOBAL STABILITY; ASYMPTOTIC PROPERTIES; TEMPORARY IMMUNITY; OUTBREAKS; PERMANENCE;
D O I
10.1103/PhysRevE.83.056121
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We consider a delayed susceptible-infected-recovered epidemic model on an uncorrelated complex network and address the effect of time lag on the shape and multiple waves of epidemic curves. We show that when the transmission rate is above a threshold, a large delay can cause multiple waves with larger amplitudes in the second and subsequent waves.
引用
收藏
页数:7
相关论文
共 39 条
[1]   Classes of small-world networks [J].
Amaral, LAN ;
Scala, A ;
Barthélémy, M ;
Stanley, HE .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2000, 97 (21) :11149-11152
[2]  
[Anonymous], 2000, Small worlds: The dynamics of networks between order and randomness
[3]   Emergence of scaling in random networks [J].
Barabási, AL ;
Albert, R .
SCIENCE, 1999, 286 (5439) :509-512
[4]   Dynamical patterns of epidemic outbreaks in complex heterogeneous networks [J].
Barthélemy, M ;
Barrat, A ;
Pastor-Satorras, R ;
Vespignani, A .
JOURNAL OF THEORETICAL BIOLOGY, 2005, 235 (02) :275-288
[5]   Global asymptotic stability of an SIR epidemic model with distributed time delay [J].
Beretta, E ;
Hara, T ;
Ma, WB ;
Takeuchi, Y .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (06) :4107-4115
[6]  
BERETTA E, 1995, J MATH BIOL, V33, P250, DOI 10.1007/BF00169563
[7]   Statistical surveillance of epidemics:: Peak detection of influenza in Sweden [J].
Bock, David ;
Andersson, Eva ;
Frisen, Marianne .
BIOMETRICAL JOURNAL, 2008, 50 (01) :71-85
[8]   Epidemic spreading in correlated complex networks -: art. no. 047104 [J].
Boguñá, M ;
Pastor-Satorras, R .
PHYSICAL REVIEW E, 2002, 66 (04) :4
[9]  
Hethcote H.W., 1984, Lecture notes in biomathematics
[10]   Thresholds for epidemic outbreaks in finite scale-free networks [J].
Hwang, DU ;
Boccaletti, S ;
Moreno, Y ;
López-Ruiz, R .
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2005, 2 (02) :317-327