Pattern formation in systems with one spatially distributed species

被引：14

作者：

Ermentrout, B ^{[1
]}

Lewis, M ^{[1
]}

机构：

[1] UNIV UTAH,DEPT MATH,SALT LAKE CITY,UT 84112

来源：

BULLETIN OF MATHEMATICAL BIOLOGY | 1997年 / 59卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/BF02459464

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We describe a three-species mechanism for spatial pattern formation in which only one species spatially moves. We show that a bifurcation to traveling or standing waves occurs. We contrast this mechanism for pattern formation with the better known cases where more than one species moves. (C) 1997 Society for Mathematical Biology.

引用

页码：533 / 549

页数：17

共 11 条

[1] EDELSTEINKESHER L, 1988, MATH MODELS BIOL
[2] ERMENTROUT GB, 1979, THESIS U CHICAGO
[3] ERMENTROUT GB, 1981, Q APPL MATH, P61
[4] CHANGES OF ACTION POTENTIAL SHAPE AND VELOCITY FOR CHANGING CORE CONDUCTOR GEOMETRY
GOLDSTEIN, SS
RALL, W
[J]. BIOPHYSICAL JOURNAL, 1974, 14 (10) : 731 - 757
[5] Hethcote H.W., 1989, APPL MATH ECOLOGY BI, P119, DOI [10.1007/978-3-642-61317-3_5, DOI 10.1007/978-3-642-61317-3_5]
[6] STABLE SPATIO-TEMPORAL OSCILLATIONS OF DIFFUSIVE LOTKA-VOLTERRA SYSTEM WITH 3 OR MORE SPECIES
KISHIMOTO, K
MIMURA, M
YOSHIDA, K
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1983, 18 (03) : 213 - 221
[7] PATTERN GENERATION IN SPACE AND ASPECT
LEVIN, SA
SEGEL, LA
[J]. SIAM REVIEW, 1985, 27 (01) : 45 - 67
[8] VOLTAGE OSCILLATIONS IN THE BARNACLE GIANT MUSCLE-FIBER
MORRIS, C
LECAR, H
[J]. BIOPHYSICAL JOURNAL, 1981, 35 (01) : 193 - 213
[9] Murray J.D, 1989, Mathematical Biology, V19
[10] SMALE S, 1974, SOME MATH QUESTIONS, V5

← 1 2 →