In this paper, we explore the solvability and the optimal control problem for a com- partmental 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. Moreover, we discuss the conditions of optimality, which are of some help to reduce the concentration of the infected population in certain spatial areas.

Global Solution and Optimal Control of an Epidemic Propagation with a Heterogeneous Diffusion

Colli, Pierluigi
;
Gilardi, Gianni;Marinoschi, Gabriela
2024-01-01

Abstract

In this paper, we explore the solvability and the optimal control problem for a com- partmental 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. Moreover, we discuss the conditions of optimality, which are of some help to reduce the concentration of the infected population in certain spatial areas.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1488295
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact