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毒物在单物种及捕食者 - 猎物系统中的效应模型。

Models for the effect of toxicant in single-species and predator-prey systems.

作者信息

Freedman H I, Shukla J B

机构信息

Department of Mathematics, University of Alberta, Edmonton, Canada.

出版信息

J Math Biol. 1991;30(1):15-30. doi: 10.1007/BF00168004.

DOI:10.1007/BF00168004
PMID:1765734
Abstract

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.

摘要

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。

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本文引用的文献

1
Effects of toxicants on populations: a qualitative approach II. First order kinetics.毒物对种群的影响:定性方法II. 一级动力学
J Math Biol. 1983;18(1):25-37. doi: 10.1007/BF00275908.
毒素对水生环境中物种竞争动态的直接和间接影响。
J Math Biol. 2019 Feb;78(3):739-766. doi: 10.1007/s00285-018-1290-2. Epub 2018 Aug 29.