Basic Vaccination Control Techniques for a General True -Mass Action SEIR Model

TL;DR

This paper introduces simple linear vaccination strategies for a SEIR disease model that accounts for total population effects, aiming to drive the susceptible, infected, and infectious populations to zero while immunizing the population.

Contribution

It proposes novel linear vaccination control methods tailored for a general SEIR model considering total population effects, enhancing disease eradication strategies.

Findings

Vaccination strategies successfully drive populations to zero.

Model accounts for total population impact on disease transmission.

Control methods are simple and effective.

Abstract

This paper presents several simple linear vaccination-based control strategies 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 vaccination control objective is the asymptotically tracking of the removed-by-immunity population to the total population while achieving simultaneously that the remaining populations (i.e. susceptible plus infected plus infectious) tend asymptotically to zero.