Summary
A simple stochastic model of logistic population growth is considered. The criterion for eventual extinction is a function of population growth rate, not of carrying capacity.
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References
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Astrachan, E.L. Growth rate, not carrying capacity, determines extinction in simple stochastic model. Oecologia 31, 131–132 (1977). https://doi.org/10.1007/BF00348716
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DOI: https://doi.org/10.1007/BF00348716