A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections

Angel G. Cervantes Pérez; David Adeyemi Oluyori

doi:10.53391/mmnsa.2022.016

EN

A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections

Abstract

We propose a new epidemic model to study the coinfection dynamics of COVID-19 and bacterial pneumonia, which is the first model in the literature used to describe mathematically the interaction of these two diseases while considering two infection ways for pneumonia: community-acquired and hospital-acquired transmission. We show that the existence and local stability of equilibria depend on three different parameters, which are interpreted as the basic reproduction numbers of COVID-19, bacterial pneumonia, and bacterial population in the hospital. Numerical simulations are performed to complement our theoretical analysis, and we show that both diseases can persist if the basic reproduction number of COVID-19 is greater than one.

Keywords

Coronavirus, bacterial pneumonia, coinfection

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Details

Primary Language

English

Subjects

Bioinformatics and Computational Biology, Applied Mathematics

Journal Section

Research Article

Authors

Angel G. Cervantes Pérez ^* This is me
0000-0002-6273-2405
Mexico

David Adeyemi Oluyori This is me
0000-0002-8348-6717
Nigeria

Publication Date

December 30, 2022

Submission Date

September 2, 2022

Acceptance Date

November 27, 2022

Published in Issue

Year 2022 Volume: 2 Number: 4

DOI

https://doi.org/10.53391/mmnsa.2022.016

IZ

https://izlik.org/JA73LM67FL

APA

Pérez, A. G. C., & Oluyori, D. A. (2022). A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections. Mathematical Modelling and Numerical Simulation With Applications, 2(4), 197-210. https://doi.org/10.53391/mmnsa.2022.016

AMA

1.Pérez AGC, Oluyori DA. A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections. MMNSA. 2022;2(4):197-210. doi:10.53391/mmnsa.2022.016

Chicago

Pérez, Angel G. Cervantes, and David Adeyemi Oluyori. 2022. “A Model for COVID-19 and Bacterial Pneumonia Coinfection With Community- and Hospital-Acquired Infections”. Mathematical Modelling and Numerical Simulation With Applications 2 (4): 197-210. https://doi.org/10.53391/mmnsa.2022.016.

EndNote

Pérez AGC, Oluyori DA (December 1, 2022) A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections. Mathematical Modelling and Numerical Simulation with Applications 2 4 197–210.

IEEE

[1]A. G. C. Pérez and D. A. Oluyori, “A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections”, MMNSA, vol. 2, no. 4, pp. 197–210, Dec. 2022, doi: 10.53391/mmnsa.2022.016.

ISNAD

Pérez, Angel G. Cervantes - Oluyori, David Adeyemi. “A Model for COVID-19 and Bacterial Pneumonia Coinfection With Community- and Hospital-Acquired Infections”. Mathematical Modelling and Numerical Simulation with Applications 2/4 (December 1, 2022): 197-210. https://doi.org/10.53391/mmnsa.2022.016.

JAMA

1.Pérez AGC, Oluyori DA. A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections. MMNSA. 2022;2:197–210.

MLA

Pérez, Angel G. Cervantes, and David Adeyemi Oluyori. “A Model for COVID-19 and Bacterial Pneumonia Coinfection With Community- and Hospital-Acquired Infections”. Mathematical Modelling and Numerical Simulation With Applications, vol. 2, no. 4, Dec. 2022, pp. 197-10, doi:10.53391/mmnsa.2022.016.

Vancouver

1.Angel G. Cervantes Pérez, David Adeyemi Oluyori. A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections. MMNSA. 2022 Dec. 1;2(4):197-210. doi:10.53391/mmnsa.2022.016

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A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections

A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections

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Abstract

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Published in Issue

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Cited By

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