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Positivity of solutions in a perturbed age-structured model

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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.
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Keywords: Dynamics of populations; invariance; stochastic partial differential equation

Document Type: Research Article

Affiliations: 1: Dipartimento di Matematica, Universit√† di Roma “Tor Vergata”, Italy 2: Scuola Normale Superiore di Pisa, Italy

Publication date: 02 January 2016

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