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On the modeling of moving populations through set evolution equations

Авторы: Colombo R.M., Lorenz T., Pogodaev N.

Журнал: Discrete and Continuous Dynamical Systems

Том: 35

Номер: 1

Год: 2015

Отчётный год: 2015

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Аннотация: 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.

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