Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model

Stefania Allegretti; Iulia Martina Bulai; Roberto Marino; Margherita Anna Menandro; Katia Parisi

doi:10.53391/mmnsa.2021.01.006

EN

Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model

Abstract

In this paper, we consider a modified SIR (susceptible-infected-recovered/removed) model that describes the evolution in time of the infectious disease caused by Sars-Cov-2 (Severe Acute Respiratory Syndrome-Coronavirus-2). We take into consideration that this disease can be both symptomatic and asymptomatic. By formulating a suitable mathematical model via a system of ordinary differential equations (ODEs), we investigate how the vaccination rate and the fraction of avoided contacts affect the population dynamics.

Keywords

SIR model, asymptomatic cases, avoided contacts, vaccination effect, COVID-19

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Details

Primary Language

English

Subjects

Bioinformatics and Computational Biology, Applied Mathematics

Journal Section

Research Article

Authors

Stefania Allegretti This is me
0000-0002-9091-0088
Italy

Iulia Martina Bulai ^* This is me
0000-0002-9570-8532
Italy

Roberto Marino This is me
0000-0002-0150-4222
Italy

Margherita Anna Menandro This is me
0000-0002-3116-1216
Italy

Katia Parisi This is me
0000-0003-3672-1902
Italy

Publication Date

December 30, 2021

Submission Date

October 13, 2021

Acceptance Date

November 22, 2021

Published in Issue

Year 2021 Volume: 1 Number: 2

DOI

https://doi.org/10.53391/mmnsa.2021.01.006

IZ

https://izlik.org/JA65TN73YB

APA

Allegretti, S., Bulai, I. M., Marino, R., Menandro, M. A., & Parisi, K. (2021). Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model. Mathematical Modelling and Numerical Simulation With Applications, 1(2), 56-66. https://doi.org/10.53391/mmnsa.2021.01.006

AMA

1.Allegretti S, Bulai IM, Marino R, Menandro MA, Parisi K. Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model. MMNSA. 2021;1(2):56-66. doi:10.53391/mmnsa.2021.01.006

Chicago

Allegretti, Stefania, Iulia Martina Bulai, Roberto Marino, Margherita Anna Menandro, and Katia Parisi. 2021. “Vaccination Effect Conjoint to Fraction of Avoided Contacts for a Sars-Cov-2 Mathematical Model”. Mathematical Modelling and Numerical Simulation With Applications 1 (2): 56-66. https://doi.org/10.53391/mmnsa.2021.01.006.

EndNote

Allegretti S, Bulai IM, Marino R, Menandro MA, Parisi K (December 1, 2021) Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model. Mathematical Modelling and Numerical Simulation with Applications 1 2 56–66.

IEEE

[1]S. Allegretti, I. M. Bulai, R. Marino, M. A. Menandro, and K. Parisi, “Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model”, MMNSA, vol. 1, no. 2, pp. 56–66, Dec. 2021, doi: 10.53391/mmnsa.2021.01.006.

ISNAD

Allegretti, Stefania - Bulai, Iulia Martina - Marino, Roberto - Menandro, Margherita Anna - Parisi, Katia. “Vaccination Effect Conjoint to Fraction of Avoided Contacts for a Sars-Cov-2 Mathematical Model”. Mathematical Modelling and Numerical Simulation with Applications 1/2 (December 1, 2021): 56-66. https://doi.org/10.53391/mmnsa.2021.01.006.

JAMA

1.Allegretti S, Bulai IM, Marino R, Menandro MA, Parisi K. Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model. MMNSA. 2021;1:56–66.

MLA

Allegretti, Stefania, et al. “Vaccination Effect Conjoint to Fraction of Avoided Contacts for a Sars-Cov-2 Mathematical Model”. Mathematical Modelling and Numerical Simulation With Applications, vol. 1, no. 2, Dec. 2021, pp. 56-66, doi:10.53391/mmnsa.2021.01.006.

Vancouver

1.Stefania Allegretti, Iulia Martina Bulai, Roberto Marino, Margherita Anna Menandro, Katia Parisi. Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model. MMNSA. 2021 Dec. 1;1(2):56-6. doi:10.53391/mmnsa.2021.01.006