BIFURCATION, STABILITY DIAGRAMS, AND VARYING DIFFUSION-COEFFICIENTS IN REACTION-DIFFUSION EQUATIONS

被引:11
作者
BROWN, KJ
EILBECK, JC
机构
关键词
D O I
10.1016/S0092-8240(82)80033-5
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
引用
收藏
页码:87 / 102
页数:16
相关论文
共 7 条
[1]  
AUCHMUTY JG, 1975, B MATH BIOL, V37, P1
[2]   STABILITY PROPERTIES OF SOLUTIONS TO SYSTEMS OF REACTION-DIFFUSION EQUATIONS [J].
CASTEN, RG ;
HOLLAND, CJ .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1977, 33 (02) :353-364
[3]  
CATALANO G, UNPUB PHYSICA D
[4]   3 TYPES OF MATRIX STABILITY [J].
CROSS, GW .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1978, 20 (03) :253-263
[5]   BIFURCATION ANALYSIS OF NONLINEAR REACTION-DIFFUSION EQUATIONS .2. STEADY-STATE SOLUTIONS AND COMPARISON WITH NUMERICAL SIMULATIONS [J].
HERSCHKOWITZKAUFMAN, M .
BULLETIN OF MATHEMATICAL BIOLOGY, 1975, 37 (06) :589-636
[6]   SPATIAL PATTERNS FOR AN INTERACTION-DIFFUSION EQUATION IN MORPHOGENESIS [J].
MIMURA, M ;
NISHIURA, Y .
JOURNAL OF MATHEMATICAL BIOLOGY, 1979, 7 (03) :243-263
[7]   SOME ANALYTICAL RESULTS ABOUT A SIMPLE REACTION-DIFFUSION SYSTEM FOR MORPHOGENESIS [J].
ROTHE, F .
JOURNAL OF MATHEMATICAL BIOLOGY, 1979, 7 (04) :375-384