The threshold of survival for systems in a fluctuating environment

Ma Zhien, Baojun Song, Thomas G. Hallam

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

Thresholds for survival and extinction are important for assessing the risk of mortality in systems exposed to exogeneous stress. For generic, rudimentary population models and the classical resource-consumer models of Leslie and Gallopin, we demonstrate the existence of a survival threshold for situations where demographic parameters are fluctuating, generally, in a nonperiodic manner. The fluctuations are assumed, to be generated by exogenous, anthropogenic stresses such as toxic chemical exposures. In general, the survival threshold is determined by a relationship between mean stress measure in organisms to the ratio of the population intrinsic growth rate and stress response rate.

Original languageEnglish
Pages (from-to)311-323
Number of pages13
JournalBulletin of Mathematical Biology
Volume51
Issue number3
DOIs
StatePublished - 1 May 1989

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Poisons
Population Growth
Demography
Mortality
toxic substances
Population
stress response
population growth
extinction
demographic statistics
organisms
Population Model
Extinction
mortality
Fluctuations
resource
Resources
Demonstrate
Model

Cite this

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The threshold of survival for systems in a fluctuating environment. / Zhien, Ma; Song, Baojun; Hallam, Thomas G.

In: Bulletin of Mathematical Biology, Vol. 51, No. 3, 01.05.1989, p. 311-323.

Research output: Contribution to journalArticle

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