Search results for "Birth and death process"

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The linear birth and death process under the influence of independently occurring disasters

1989

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.

Statistics and ProbabilityBirth and death processeducation.field_of_studyExtinctionPopulationRandom sequenceBirth–death processMathematics::ProbabilityHomogeneousStatisticsQuantitative Biology::Populations and EvolutionRandom eventStatistics Probability and UncertaintyeducationAnalysisDemographyMathematicsProbability Theory and Related Fields
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