Positivity of solutions in a perturbed age-structured model

被引：0
|
作者：
Cannarsa, Piermarco [1 ]
Da Prato, Giuseppe [2 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy
[2] Scuola Normale Super Pisa, Pisa, Italy
来源：
MATHEMATICAL POPULATION STUDIES | 2016年 / 23卷 / 01期
关键词：
Dynamics of populations; invariance; stochastic partial differential equation;
D O I：
10.1080/08898480.2014.925340
中图分类号：
C921 [人口统计学];
学科分类号：
摘要：
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.
引用
收藏
页码：3 / 16
页数：14
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