Positivity of solutions in a perturbed age-structured model

Piermarco Cannarsa and Giuseppe Da Prato

Mathematical Population Studies, 2016, vol. 23, issue 1, 3-16

Abstract: For certain age-structured population models, the cone of positive functions is preserved when the dynamics is perturbed by white noise. Solutions can be forced to assume negative values, even when initial conditions are strictly positive. Necessary and sufficient conditions are expressed under which the solutions are nonnegative.

Date: 2016
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DOI: 10.1080/08898480.2014.925340

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