An epidemic model on small-world networks and ring vaccination

被引:22
作者
Ahmed, E [1 ]
Hegazi, AS
Elgazzar, AS
机构
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] United Arab Emirates Univ, Fac Sci, Dept Math, Al Ain, U Arab Emirates
[3] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
[4] Fac Educ, Dept Math, Al Arish, Egypt
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2002年 / 13卷 / 02期
关键词
epidemics models; FMD outbreaks; ring vaccination; small-world networks; nonlocal interactions;
D O I
10.1142/S0129183102003048
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A modified version of susceptible-infected-recovered-susceptible (SIRS) model for the outbreaks of foot-and-mouth disease (FMD) is introduced. The model is defined on small-world networks, and a ring vaccination programme is included. This model can be a theoretical explanation for the nonlocal interactions in epidemic spreading. Ring vaccination is capable of eradicating FMD provided that the probability of infection is high enough. Also an analytical approximation for this model is studied.
引用
收藏
页码:189 / 198
页数:10
相关论文
共 15 条
[1]   On social percolation and small world network [J].
Ahmed, E ;
Abdusalam, HA .
EUROPEAN PHYSICAL JOURNAL B, 2000, 16 (03) :569-571
[2]   Stochastic and deterministic models for SIS epidemics among a population partitioned into households [J].
Ball, F .
MATHEMATICAL BIOSCIENCES, 1999, 156 (1-2) :41-67
[3]  
BOLLOBAS B, 1985, RANDOM GRAPHYS
[4]   Synchronicity in coupled sine circle maps; Some numerical results [J].
Chatterjee, N ;
Gupte, N .
PHYSICA A, 1996, 224 (1-2) :422-432
[5]  
Edelstein-Keshet L., 1988, MATH MODELS BIOL
[6]  
ELGAZZAR AS, 2001, IN PRESS PHYSICA A
[7]  
GREENHALGH D, 1986, COMM STAT STOCH MODE, V2, P339
[8]  
LAJMANOVICH A, 1976, Mathematical Biosciences, V28, P221, DOI 10.1016/0025-5564(76)90125-5
[9]   Small worlds: How and why [J].
Mathias, Nisha ;
Gopal, Venkatesh .
2001, American Inst of Physics, Woodbury, NY, United States (63)
[10]   Epidemics and percolation in small-world networks [J].
Moore, C ;
Newman, MEJ .
PHYSICAL REVIEW E, 2000, 61 (05) :5678-5682