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

## Authors

• Stefania Allegretti Department of Mathematics, Informatics and Economics, University of Basilicata, Viale dell’Ateneo Lucano, 10, 85100 Potenza, Italy
• Iulia Martina Bulai Department of Mathematics, Informatics and Economics, University of Basilicata, Viale dell’Ateneo Lucano, 10, 85100 Potenza, Italy
• Roberto Marino Department of Mathematics, Informatics and Economics, University of Basilicata, Viale dell’Ateneo Lucano, 10, 85100 Potenza, Italy
• Margherita Anna Menandro Department of Mathematics, Informatics and Economics, University of Basilicata, Viale dell’Ateneo Lucano, 10, 85100 Potenza, Italy
• Katia Parisi Department of Mathematics, Informatics and Economics, University of Basilicata, Viale dell’Ateneo Lucano, 10, 85100 Potenza, Italy

## Keywords:

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

## 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.

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## Published

2021-11-26
CITATION METRICS
DOI: 10.53391/mmnsa.2021.01.006

## How to Cite

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

## Section

Research Articles