A novel discrete-time COVID-19 epidemic model including the compartment of vaccinated individuals-Reference-Cited by-同舟云学术

A novel discrete-time COVID-19 epidemic model including the compartment of vaccinated individuals

Published:2022 Issue:12 Volume:19 Page:12387-12404
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Almatroud A Othman¹,Djenina Noureddine²,Ouannas Adel²,Grassi Giuseppe³,Al-sawalha M Mossa¹

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Ha'il, Ha'il 81451, Saudi Arabia

2. Laboratory of Dynamical Systems and Control, University of Larbi Ben M'hidi, Oum El-Bouaghi, Algeria

3. Dipartimento Ingegneria Innovazione, Universita Del Salento, Lecce 73100, Italy

Abstract

<abstract><p>Referring tothe study of epidemic mathematical models, this manuscript presents a noveldiscrete-time COVID-19 model that includes the number of vaccinated individuals as an additional state variable in the system equations. The paper shows that the proposed compartment model, described by difference equations, has two fixed points, i.e., a disease-free fixed point and an epidemic fixed point. By considering both the forward difference system and the backward difference system, some stability analyses of the disease-free fixed point are carried out.In particular, for the backward difference system a novel theorem is proved, which gives a condition for the disappearance of the pandemic when an inequality involving some epidemic parameters is satisfied. Finally, simulation results of the conceived discrete model are carried out, along with comparisons regarding the performances of both the forward difference system and the backward difference system.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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