ISSN:
1432-1416
Keywords:
Birth-and-death processes
;
Disasters
;
Random probability of extinction
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00276101
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