Steady states of models of microbial growth and competition with chemotaxis

被引：32

作者：

Dung, L ^{[1
]}

Smith, HL

机构：

[1] Georgia Inst Technol, Ctr Dynam Syst & Nonlinear Studies, Atlanta, GA 30332 USA

[2] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 229卷 / 01期

关键词：

D O I：

10.1006/jmaa.1998.6167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

收藏

页码：295 / 318

页数：24

相关论文

共 19 条

[1] Properties of solutions for a chemotaxis system
Allegretto, W
Xie, H
Yang, SX
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1997, 35 (08) : 949 - 966
[2] BIASED RANDOM-WALK MODELS FOR CHEMOTAXIS AND RELATED DIFFUSION APPROXIMATIONS
ALT, W
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1980, 9 (02) : 147 - 177
[3] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES
AMANN, H
[J]. SIAM REVIEW, 1976, 18 (04) : 620 - 709
[4] BALLYK M, IN PRESS SIAM MATH A
[5] CHAPLAIN MAJ, 1993, IMA J MATH APPL MED, V10, P149
[6] Global attractors and steady state solutions for a class of reaction-diffusion systems
Dung, L
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 147 (01) : 1 - 29
[7] A parabolic system modeling microbial competition in an unmixed bio-reactor
Dung, L
Smith, HL
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 130 (01) : 59 - 91
[8] Friedman A., 1969, Partial Differential Equations
[9] Gilbar D., 1983, ELLIPTIC PARTIAL DIF
[10] Chemotactic collapse for the Keller-Segel model
Herrero, MA
Velazquez, JJL
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1996, 35 (02) : 177 - 194