THRESHOLD BEHAVIOR AND PROPAGATION FOR A DIFFERENTIAL-DIFFERENCE SYSTEM

被引：6

作者：

GAO, WZ

机构：

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1993年 / 24卷 / 01期

关键词：

THRESHOLD; COMPARISON PRINCIPLE; MYELINATED AXON; PROPAGATION;

D O I：

10.1137/0524007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper uses a comparison principle to study the long time behavior of a certain class of nonlinear difference-differential systems. These systems are motivated by certain models of heart tissue and myelinated axon. The main concern is to find steady state solutions, determine threshold properties, and study aspects of propagation. The theorems obtained are supported by numerical simulations.

引用

页码：89 / 115

页数：27

共 9 条

[1]

Aronson D., 1975, PARTIAL DIFFERENTIAL, P5, DOI DOI 10.1007/BFB0070595

[2]

BELL J, 1984, Q APPL MATH, V42, P1

[3]

Bell J, 1984, IMA J Math Appl Med Biol, V1, P149

[4] SOME THRESHOLD RESULTS FOR MODELS OF MYELINATED NERVES [J].