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.
All Science Journal Classification (ASJC) codes
- Modeling and Simulation
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics