Abstract
We introduce a model describing the dynamics and interactions of three populations of ships (pirates ships, commercial cargos, and police watercrafts) in a marine region. We establish well-posedness of the coupled ODE-PDEs system describing the ships dynamics and we discuss a related optimal control problem.
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Dedicated to Professor Alberto Bressan on the occasion of his 60th anniversary.
This article is part of the topical collection “Hyperbolic PDEs, Fluids, Transport and Applications: Dedicated to Alberto Bressan for his 60th birthday” guest edited by Fabio Ancona, Stefano Bianchini, Pierangelo Marcati, Andrea Marson.
The authors are members of the Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM).
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Coclite, G.M., Garavello, M. & Spinolo, L.V. A mathematical model for piracy control through police response. Nonlinear Differ. Equ. Appl. 24, 48 (2017). https://doi.org/10.1007/s00030-017-0471-9
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DOI: https://doi.org/10.1007/s00030-017-0471-9