Allee effects in randomly varying environments
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Proceedings of the 2013 International Conference on Computational and Mathematical Methods in Science and Engineering
Abstract
Based on a deterministic model of population growth with Allee effects, we propose a general stochastic model that incorporates environmental random fluctuations in the growth process. We study the model properties, existence and uniqueness of solution and the staionary behavior. We also obtain expressions for the first passage times, in particular, the mean and standard deviation of the extinction times for the populations.
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Braumann, C. A.; Carlos; C. (2013). Allee effects in randomly varying environments. In Proceedings of the 2013 International Conference on Computational and Mathematical Methods in Science and Engineering. Hamilton, I. P.; Vigo-Aguiar, J. (Eds.), Cabo de Gata, Almería, Espanha, ISBN 978-84-616-2723-3, p. 304-307