ON THE MODELING OF MOVING POPULATIONS THROUGH SET EVOLUTION EQUATIONS

被引：13
|
作者：
Colombo, Rinaldo M. [1 ]
Lorenz, Thomas [2 ]
Pogodaev, Nikolay I. [3 ]
机构：
[1] Univ Brescia, INdAM Unit, I-25123 Brescia, Italy
[2] RheinMain Univ Appl Sci, D-65197 Wiesbaden, Germany
[3] Inst Syst Dynam & Control Theory, Irkutsk 664033, Russia
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Set evolution equations; differential inclusions; evolution of measures; confinement problems; agents-population interactions; CLOSED BALLS CONJECTURE; CONTROL-SYSTEMS; REACHABLE SETS; METRIC-SPACES; BALANCE LAWS; UNIQUENESS; UNION;
D O I：
10.3934/dcds.2015.35.73
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a class of set evolution equations that can be used to describe population's movements as well as various instances of individual-population interactions. Optimal control/management problems can be formalized and tackled in this framework. A rigorous analytical structure is established and the basic well posedness results are obtained. Several examples show possible applications and their numerical integrations display possible qualitative behaviors of solutions.
引用
收藏
页码：73 / 98
页数：26
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