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arXiv · 2308.08251

Global solution and optimal control of an epidemic propagation with a heterogeneous diffusion

Pierluigi Colli·Gianni Gilardi·Gabriela Marinoschi
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Abstract

In this paper, we explore the solvability and the optimal control problem for a compartmental model based on reaction-diffusion partial differential equations describing a transmissible disease. The nonlinear model takes into account the disease spreading due to the human social diffusion, under a dynamic heterogeneity in infection risk. The analysis of the resulting system provides the existence proof for a global solution and determines the conditions of optimality to reduce the concentration of the infected population in certain spatial areas.

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Pierluigi Colli, Gianni Gilardi, Gabriela Marinoschi. 2023-08-16. Global solution and optimal control of an epidemic propagation with a heterogeneous diffusion. https://arxiv.org/abs/2308.08251

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