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The Survival Analysis for Smith's System in a Polluted Environment

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Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
1
DOI:
10.3969/j.issn.1001-9626.2006.01.002
Key Word:
Smith系统;环境污染;持续生存;绝灭;Smith's system;Environmental pollution;Persistence;Extinction

Abstract: This paper concentrates on the study of the long-time behavior of population in a Smith's system, located in a polluted environment. Considering the effect of the variance of the population on the internal and environmental toxicant concentration, we modify the traditional Smith's system, and give some sufficient criteria under which the population will be weakly persistent in the mean or go to extinction.The threshold between weak persistence in the mean and extinction can be established in some case.

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