STABILITY OF TRAVELING-WAVE SOLUTIONS OF DIFFUSIVE PREDATOR-PREY SYSTEMS

被引：60

作者：

GARDNER, R ^{[1
]}

JONES, CKRT ^{[1
]}

机构：

[1] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 327卷 / 02期

关键词：

D O I：

10.2307/2001812

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The stability of travelling wave solutions of singularly perturbed, diffusive predator-prey systems is proved by showing that the linearized operator about such a solution has no unstable spectrum and that the translation eigenvalue at lambda = 0 is simple. The proof illustrates the application of some recently developed geometric and topological methods for counting eigenvalues,

引用

页码：465 / 524

页数：60

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