MULTI-SPECIES INTERACTIONS WITH HEREDITARY EFFECTS AND SPATIAL DIFFUSION

被引：13

作者：

COHEN, DS ^{[1
]}

ROSENBLAT, S ^{[1
]}

机构：

[1] UNIV MELBOURNE,DEPT MATH,PARKVILLE 3052,VICTORIA,AUSTRALIA

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1979年 / 7卷 / 03期

关键词：

D O I：

10.1007/BF00275726

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study the effect of spatial diffusion on oscillatory states in arbitrary multi-species growth models having hereditary terms. We show that it is a general principle that the addition of spatial diffusion to a stable oscillatory ecological community induces a periodic diffusion wave in which the original wavenumber (or phase) evolves according to a nonlinear evolution equation of generalized Burgers' type. © 1979 Springer-Verlag.

引用

页码：231 / 241

页数：11