Vaccination strategies for SEIR models using feedback linearization. Preliminary results

TL;DR

This paper introduces a feedback linearization approach to design vaccination strategies for SEIR epidemic models, aiming to control disease spread and achieve herd immunity efficiently.

Contribution

It presents a novel feedback linearization method for epidemic control, enabling systematic design of vaccination policies with strong theoretical foundations.

Findings

The proposed control strategy effectively guides the epidemic towards eradication.

The method ensures asymptotic tracking of immunity levels and disease elimination.

Preliminary results demonstrate the potential of feedback linearization in epidemic management.

Abstract

A linearization-based feedback-control strategy for a SEIR epidemic model is discussed. The vaccination objective is the asymptotically tracking of the removed-by-immunity population to the total population while achieving simultaneously the remaining population (i.e. susceptible plus infected plus infectious) to asymptotically tend to zero. The disease controlpolicy is designed based on a feedback linearization technique which provides a general method to generate families of vaccination policies with sound technical background.