Freedman H I, Shukla J B
Department of Mathematics, University of Alberta, Edmonton, Canada.
J Math Biol. 1991;30(1):15-30. doi: 10.1007/BF00168004.
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.
我们建立并部分分析了污染封闭环境下单物种和捕食者 - 猎物系统的模型。考虑了三种情况:有毒物质的单次流入、有毒物质的持续流入以及环境的周期性污染。在单物种生长的情况下,我们能够确定一些局部和全局动态。在捕食者 - 猎物系统的情况下,我们研究了有毒物质小恒定流入时稳态的存在性。