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- Gyllenberg, Mats, et al.
(författare)
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Null recurrence in a stochastic Ricker model
- 1994
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Ingår i: Analysis, algebra, and computers in mathematical research. - New York : Marcel Dekker Incorporated. - 0824792173 ; , s. 147-164
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Konferensbidrag (refereegranskat)abstract
- We consider a nonlinear first order stochastic difference equation which may be viewed as a stochastic perturbation of {\it W. E. Ricker's} [J. Fish. Res. Bd. Can. 11, 559-623 (1954)] deterministic model of population growth. Numerical experiments seem to suggest that the corresponding Markov process has a stationary probability distribution but this is shown to be false by proving that the process is in fact null recurrent
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