MODELS FOR THE EFFECT OF TOXICANT IN SINGLE-SPECIES AND PREDATOR-PREY SYSTEMS

被引：168

作者：

FREEDMAN, HI

SHUKLA, JB

机构：

[1] Applied Mathematics Institute, Department of Mathematics, University of Alberta, Edmonton, Alberta

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1991年 / 30卷 / 01期

关键词：

SINGLE-SPECIES; PREDATOR-PREY; TOXICANTS; EQUILIBRIA; STABILITY; PERIODIC PERTURBATION;

D O I：

10.1007/BF00168004

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Models of single-species and predator-prey systems in a polluted closed environment are developed and partially analyzed. Three cases are considered: a single influx of toxicant, a constant influx of toxicant, and a periodic pollution of the environment. In the case of single-species growth we are able to determine some local and global dynamics. In the case of predator-prey systems, we investigate the existence of steady states for a small constant influx of toxicant.

引用

页码：15 / 30

页数：16

共 15 条

[1] UNIFORMLY PERSISTENT SYSTEMS [J].