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Stability analysis of stochastic Ricker population model,. (English) Zbl 1099.92071
Summary: A stochastic generalization of the Ricker discrete population model [W. E. Ricker, Stock and recruitment. J. Fisheries Res. Board Canada 11, 559–623 (1954)] is studied under the assumption that noise impacts the population reproduction rate. The obtained results demonstrate that the demographic-type stochastic noise increases the risk of the population extinction. In particular, the paper establishes conditions on the noise intensity under which the population will become extinct even if the corresponding population with no noise survives.

MSC:
92D40 Ecology
60G48 Generalizations of martingales
60G35 Signal detection and filtering (aspects of stochastic processes)
60F15 Strong limit theorems
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