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.
Cannarsa, P., Da Prato, G. (2016). Positivity of solutions in a perturbed age-structured model. MATHEMATICAL POPULATION STUDIES, 23(1), 3-16 [10.1080/08898480.2014.925340].
Positivity of solutions in a perturbed age-structured model
CANNARSA, PIERMARCO;
2016-01-01
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.File in questo prodotto:
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