On the modeling of moving populations through set evolution equations

DOI10.3934/dcds.2015.35.73zbMath1311.34035OpenAlexW2330675623MaRDI QIDQ479961

Thomas Lorenz, Rinaldo M. Colombo, Nikolaĭ Il'ich Pogodaev

Publication date: 8 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.73

zbMATH Keywords

differential inclusionsagents-population interactionsconfinement problemsevolution of measuresset evolution equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ordinary differential inclusions (34A60) Attainable sets, reachability (93B03)

Related Items (13)

Differential equations for closed sets in a Banach space, survey and extension ⋮ A viability theorem for set-valued states in a Hilbert space ⋮ A Peano theorem for fuzzy differential equations with evolving membership grade ⋮ Optimal control for the evolution of deterministic multi-agent systems ⋮ Mayer control problem with probabilistic uncertainty on initial positions ⋮ On the optimal control of propagation fronts ⋮ Set-driven evolution for multiagent system ⋮ Towards optimal space-time discretization for reachable sets of nonlinear control systems ⋮ Optimal control of moving sets ⋮ Hamilton-Jacobi inequalities on a metric space ⋮ Nonlocal multi-scale traffic flow models: analysis beyond vector spaces ⋮ Nonsmooth feedback control for multi-agent dynamics ⋮ External ellipsoidal approximations for set evolution equations

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