The Threshold of Survival for Systems in a Fluctuating Environment
Document Type
Article
Publication Date
5-1-1989
Journal / Book Title
Bulletin of Mathematical Biology
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.
DOI
10.1007/BF02460110
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.
https://digitalcommons.montclair.edu/appliedmath-stats-facpubs/128
Published Citation
Zhien, M., Baojun, S., & Hallam, T. G. (1989). The threshold of survival for systems in a fluctuating environment. Bulletin of Mathematical Biology, 51(3), 311-323.