6533b853fe1ef96bd12abfb6
RESEARCH PRODUCT
The linear birth and death process under the influence of independently occurring disasters
Prem S. PuriW. J. Bühlersubject
Statistics and ProbabilityBirth and death processeducation.field_of_studyExtinctionPopulationRandom sequenceBirth–death processMathematics::ProbabilityHomogeneousStatisticsQuantitative Biology::Populations and EvolutionRandom eventStatistics Probability and UncertaintyeducationAnalysisDemographyMathematicsdescription
A population developing according to a time homogeneous linear birth and death process is subjected to an independently occurring random sequence of disasters. Using an embedded Galton-Watson process with random environments explicit results about the probability of extinction and the asymptotic behavior of the process are obtained.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1989-09-01 | Probability Theory and Related Fields |