Levy flights in random searches

被引：185

作者：

Viswanathan, GM ^{[1
]}

Afanasyev, V

Buldyrev, SV

Havlin, S

da Luz, MGE

Raposo, EP

Stanley, HE

机构：

[1] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA

[2] Univ Fed Alagoas, Dept Fis, BR-57072970 Maceio, AL, Brazil

[3] Boston Univ, Dept Phys, Boston, MA 02215 USA

[4] British Antarctic Survey, NERC, Cambridge CB3 0ET, England

[5] Bar Ilan Univ, Gonda Goldschmied Ctr, Ramat Gan, Israel

[6] Univ Fed Parana, Dept Fis, BR-81531990 Curitiba, Parana, Brazil

[7] Univ Fed Pernambuco, Dept Fis, Lab Fis Teor & Computac, BR-50670901 Recife, PE, Brazil

[8] Harvard Univ, Lyman Lab Phys, Cambridge, MA 02138 USA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2000年 / 282卷 / 1-2期

基金：

美国国家卫生研究院; 美国国家科学基金会;

关键词：

D O I：

10.1016/S0378-4371(00)00071-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We review the general search problem of how to find randomly located objects that can only be detected in the limited vicinity of a forager, and discuss its quantitative description using the theory of random walks. We illustrate Levy flight foraging by comparison to Brownian random walks and discuss experimental observations of Levy flights in biological foraging. We review recent findings suggesting that an inverse square probability density distribution P(l) similar to l(-2) Of step lengths l can lead to optimal searches. Finally, we survey the explanations put forth to account for these unexpected findings. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

引用

页码：1 / 12

页数：12

共 38 条

[1]

[Anonymous], 1987, FORAGING THEORY, DOI DOI 10.1515/9780691206790

[2]

[Anonymous], 1987, Foraging behavior

[3]

Berg H. C., 1983, RANDOM WALKS BIOL

[4] Expected number of distinct sites visited by N Levy flights on a one-dimensional lattice [J].

Berkolaiko, G ;

Havlin, S ;

Larralde, H ;

Weiss, GH .

PHYSICAL REVIEW E, 1996, 53 (06) :5774-5778

[5] Territory covered by N Levy flights on d-dimensional lattices [J].

Berkolaiko, G ;

Havlin, S .

PHYSICAL REVIEW E, 1997, 55 (02) :1395-1400

[6] GENERALIZED LEVY-WALK MODEL FOR DNA NUCLEOTIDE-SEQUENCES [J].

BULDYREV, SV ;

GOLDBERGER, AL ;

HAVLIN, S ;

PENG, CK ;

SIMONS, M ;

STANLEY, HE .

PHYSICAL REVIEW E, 1993, 47 (06) :4514-4523

[7]

BULDYREV SV, PREPRINT

[8] FRACTAL TIME IN ANIMAL BEHAVIOR - THE MOVEMENT ACTIVITY OF DROSOPHILA [J].

COLE, BJ .

ANIMAL BEHAVIOUR, 1995, 50 :1317-1324

[9] Levy random walks in finite systems [J].

Drysdale, PM ;

Robinson, PA .

PHYSICAL REVIEW E, 1998, 58 (05) :5382-5394

[10] Do ungulates exhibit a food density threshold? A field study of optimal foraging and movement patterns [J].

Focardi, S ;

Marcellini, P ;

Montanaro, P .

JOURNAL OF ANIMAL ECOLOGY, 1996, 65 (05) :606-620

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