Comparison of Viability Kernels via Conic Orders
Résumé
In natural resource management, decision-makers often aims at maintaining the state of the system within a desirable set for all times: spawning stock biomass over a critical threshold in fishery management, number of infected individuals below a critical threshold in epidemics control, etc. This is possible when the initial state belongs to the so-called viability kernel. However, an exact characterization of such a kernel is generally out of reach. We show how we can compare two viability kernels corresponding to two control systems, using quasimonotonicity under conic preorder. We illustrate the method in the field of epidemics control.
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