The Threshold of Survival for Systems in a Fluctuating Environment
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.
MSU Digital Commons Citation
Zhien, Ma; Song, Baojun; and Hallam, Thomas G., "The Threshold of Survival for Systems in a Fluctuating Environment" (1989). Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works. 128.