SOME ANALYTICAL RESULTS ABOUT A SIMPLE REACTION-DIFFUSION SYSTEM FOR MORPHOGENESIS

被引：16

作者：

ROTHE, F

机构：

[1] Lehrstuhl für Biomathematik, Universität Tübingen, Tübingen, D-7400

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1979年 / 7卷 / 04期

关键词：

Ljapunov functional; Reaction-diffusion system; Stability; Stationary points;

D O I：

10.1007/BF00275155

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The reaction-diffusion system considered involves only one nonlinear term and is a gradient system. In a bifurcation analysis for the equilibrium states, the global existence of infinitely many solution branches can be shown by the method of Ljusternik-Schnirelmann. Their stability is studied. Using a Ljapunov functional it can be shown that the solutions of the time-dependent system converge to the equilibrium states. © 1979 Springer-Verlag.

引用

页码：375 / 384

页数：10

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