Extinction in a model for the growth of a population subject to catastrophes
- 1 January 1985
- journal article
- research article
- Published by Taylor & Francis in Stochastics
- Vol. 14 (2) , 149-163
- https://doi.org/10.1080/17442508508833336
Abstract
A semi-stochastic model for a population that grows according to a deterministic equation and that is also subject to random catastrophes is studied. A constructive method is give for finding the mean extinction time when the initial population size is known. Here the extinction time is defined to be the first time after which the population stays below a preassigned levelKeywords
This publication has 6 references indexed in Scilit:
- Birth, immigration and catastrophe processesAdvances in Applied Probability, 1982
- Storage processes with general release rule and additive inputsAdvances in Applied Probability, 1982
- A bounded growth population subjected to emigrations due to population pressureJournal of Applied Probability, 1981
- Logistic growth with random density independent disastersTheoretical Population Biology, 1981
- A stochastic model for a replicating population subjected to mass emigration due to population pressureMathematical Biosciences, 1979
- Persistence times of populations with large random fluctuationsTheoretical Population Biology, 1978