Small world effect in an epidemiological model

被引：445

作者：

Kuperman, M ^{[1
]}

Abramson, G

机构：

[1] Ctr Atom Bariloche, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina

[2] Inst Balseiro, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina

[3] Consejo Nacl Invest Cient & Tecn, Buenos Aires, DF, Argentina

来源：

PHYSICAL REVIEW LETTERS | 2001年 / 86卷 / 13期

关键词：

D O I：

10.1103/PhysRevLett.86.2909

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A model for the spread of an infection is analyzed for different population structures. The interactions within the population are described by small world networks, ranging from ordered lattices to random graphs. For the more ordered systems, there is a fluctuating endemic state of low infection. At a finite value of the disorder of the network, we find a transition to self-sustained oscillations in the size of the infected subpopulation.

引用

页码：2909 / 2912

页数：4

共 21 条

[11] A SIMPLE-MODEL FOR THE SPATIAL SPREAD AND CONTROL OF RABIES [J].

KALLEN, A ;

ARCURI, P ;

MURRAY, JD .

JOURNAL OF THEORETICAL BIOLOGY, 1985, 116 (03) :377-393

[12]

KAPLAN MM, 1977, SCI AM, V237, P88, DOI 10.1038/scientificamerican1277-88

[13]

Kuramoto Y., 1984, CHEM OSCILLATIONS WA, VVolume 19

[14]

Landa PS, 1997, AIP CONF PROC, P321

[15] THE BUBONIC PLAGUE [J].

MCEVEDY, C .

SCIENTIFIC AMERICAN, 1988, 258 (02) :118-&

[16]

MIKHAILOV A, 1994, FDN SYNERGETIC 1

[17] Epidemics and percolation in small-world networks [J].

Moore, C ;

Newman, MEJ .

PHYSICAL REVIEW E, 2000, 61 (05) :5678-5682

[18]

Murray J. D., 1993, MATH BIOL, DOI DOI 10.1007/978-3-662-08542-4

[19] ON THE SPATIAL SPREAD OF RABIES AMONG FOXES [J].

MURRAY, JD ;

STANLEY, EA ;

BROWN, DL .

PROCEEDINGS OF THE ROYAL SOCIETY SERIES B-BIOLOGICAL SCIENCES, 1986, 229 (1255) :111-150

[20]

WATTS D. J, 1999, SMALL WORLDS

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