The extinction time of a diffusion model with beta-distributed catastrophe sizes

Autor:	Basel M. Al-Eideh
Rok vydání:	1996
Předmět:	Extinction Population size social sciences humanities Birth–death process Extinction time Distribution (mathematics) Statistics Quantitative Biology::Populations and Evolution Beta (velocity) Statistical physics Beta distribution Random variable Mathematics
Zdroj:	Journal of Information and Optimization Sciences. 17:227-232
ISSN:	2169-0103 0252-2667
DOI:	10.1080/02522667.1996.10699276
Popis:	The distribution of the extinction time for the birth and death diffusion model with catastrophes is considered. The catastrophes occur at a constant rate and their magnitudes are random variables having beta distribution. The asymptotic behaviour of the expected time to extinction is also considered for large initial population size. The particular case when the catastrophe sizes are uniformly distributed is found, too.
Databáze:	OpenAIRE
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