The threshold of survival for systems in a fluctuating environment

Ma Zhien, Song Baojun, Thomas G. Hallam

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


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
Issue number3
StatePublished - May 1989


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