Population processes under the influence of disasters occurring independently of population size

R. Bartoszynski, W. J. Bühler, Wenyaw Chan, Dennis Keith Pearl

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

Markov branching processes and in particular birth-and-death processes are considered under the influence of disasters that arrive independently of the present population size. For these processes we derive an integral equation involving a shifted and rescaled argument. The main emphasis, however, is on the (random) probability of extinction. Its distribution density satisfies an equation which can be solved numerically at least up to a multiplicative constant. In an example it is also found by simulation.

Original languageEnglish (US)
Pages (from-to)167-178
Number of pages12
JournalJournal of Mathematical Biology
Volume27
Issue number2
DOIs
StatePublished - Apr 1 1989

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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