Some vaccination strategies for the SEIR epidemic model. Preliminary results

TL;DR

This paper proposes a vaccination control strategy for the SEIR epidemic model that aims to drive the susceptible, infected, and infectious populations to zero while ensuring the immune population approaches the total population, considering total population effects.

Contribution

It introduces a novel vaccination-based control method for the SEIR model that accounts for total population effects on disease transmission.

Findings

The control strategy effectively reduces susceptible, infected, and infectious populations.

The immune population asymptotically approaches the total population.

Preliminary results demonstrate the potential of the proposed vaccination approach.

Abstract

This paper presents a vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes more difficult contacts among susceptible and infected. The control 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.