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• W2043138032 abstract "Persistence, as measured by time to extinction, is studied in a density dependent population that is subject to small environmental and demographic randomness. Diffusion processes are formally derived from branching processes in constant and random environments. The moment generating function of the extinction time, which satisfies a second order ordinary differential equation, is found asymptotically in the limit of small diffusion and is related to the diffusion limit of the Galton-Watson process and the Ornstein-Uhlenbeck process. Extinction occurs with probability one, though the mean and variance of the extinction time are found to be exponentially large and suggest the extinction time is exponentially distributed. The notion of persistence is compared with other qualitative measures of stability. Four examples are studied and compared." @default.
• W2043138032 created "2016-06-24" @default.
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• W2043138032 date "1981-02-01" @default.
• W2043138032 modified "2023-10-18" @default.
• W2043138032 title "Persistence in density dependent stochastic populations" @default.
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• W2043138032 doi "https://doi.org/10.1016/0025-5564(81)90041-9" @default.
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