A non-stochastic approach for modeling uncertainty in population dynamics |
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Authors: | Vlastimil K?ivan Giovanni Colombo |
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Institution: | (1) Department of Theoretical Biology, Institute of Entomology, Academy of Sciences of the Czech Republic, and Faculty of Biological Sciences USB, Branišovská 31, 370 05 České Budějovice, Czech Republic;(2) Dipartimento di Matematica Pura ed Applicata, Università degli studi di Padova, Via Belzoni 7, 35 131 Padova, Italy |
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Abstract: | We developed a non-stochastic methodology to deal with the uncertainty in models of population dynamics. This approach assumed
that noise is bounded; it led to models based on differential inclusions rather than stochastic processes, and avoided stochastic
calculus. Examples of estimations of extinction times for exponential and logistic population growth with environmental and
demographic noise are presented. |
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Keywords: | |
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