Optimal Control of General Nonlocal Epidemic Models with Age and Space Structure

2025/03/03 by Azmi, Behzad, Schlosser, Nicolas · 1 citation
#35Q92 92D30 49M41 35K57 49N90 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2503.01466

Abstract

We analyze a class of general nonlinear epidemic models with age and space structure, including a nonlocal infection term depending on age and space. After establishing the well-posedness of the state partial differential equation, we introduce a control parameter interpreted as a vaccination rate. Under certain conditions, we show that an optimal control exists and how it can be characterized by first-order optimality conditions. Finally, we present numerical examples of the optimal control problems governed by these models.

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• A Wave-type Model for Age- and Space-structured Epidemics

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