On a Novel Dynamics of a SIVR Model Using a Laplace Adomian Decomposition Based on a Vaccination Strategy

Prasantha Bharathi Dhandapani; Víctor Leiva; Carlos Martin-Barreiro; Maheswari Rangasamy

doi:10.3390/fractalfract7050407

On a Novel Dynamics of a SIVR Model Using a Laplace Adomian Decomposition Based on a Vaccination Strategy

Prasantha Bharathi Dhandapani, Víctor Leiva, Carlos Martin-Barreiro, Maheswari Rangasamy

SCHOOL OF INDUSTRIAL ENGINEERING

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Abstract

In this paper, we introduce a SIVR model using the Laplace Adomian decomposition. This model focuses on a new trend in mathematical epidemiology dedicated to studying the characteristics of vaccination of infected communities. We analyze the epidemiological parameters using equilibrium stability and numerical analysis techniques. New mathematical strategies are also applied to establish our epidemic model, which is a pandemic model as well. In addition, we mathematically establish the chance for the next wave of any pandemic disease and show that a consistent vaccination strategy could control it. Our proposal is the first model introducing a vaccination strategy to actively infected cases. We are sure this work will serve as the basis for future research on COVID-19 and pandemic diseases since our study also considers the vaccinated population.

Original language	English
Article number	407
Journal	Fractal and Fractional
Volume	7
Issue number	5
DOIs	https://doi.org/10.3390/fractalfract7050407
State	Published - May 2023

Keywords

ABC derivatives
Laplace transform
SARS-CoV-2
basic reproduction number
equilibrium points
fractional derivatives
numerical methods
sensitivity and stability analyses

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.3390/fractalfract7050407

Cite this

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abstract = "In this paper, we introduce a SIVR model using the Laplace Adomian decomposition. This model focuses on a new trend in mathematical epidemiology dedicated to studying the characteristics of vaccination of infected communities. We analyze the epidemiological parameters using equilibrium stability and numerical analysis techniques. New mathematical strategies are also applied to establish our epidemic model, which is a pandemic model as well. In addition, we mathematically establish the chance for the next wave of any pandemic disease and show that a consistent vaccination strategy could control it. Our proposal is the first model introducing a vaccination strategy to actively infected cases. We are sure this work will serve as the basis for future research on COVID-19 and pandemic diseases since our study also considers the vaccinated population.",

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AU - Rangasamy, Maheswari

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AB - In this paper, we introduce a SIVR model using the Laplace Adomian decomposition. This model focuses on a new trend in mathematical epidemiology dedicated to studying the characteristics of vaccination of infected communities. We analyze the epidemiological parameters using equilibrium stability and numerical analysis techniques. New mathematical strategies are also applied to establish our epidemic model, which is a pandemic model as well. In addition, we mathematically establish the chance for the next wave of any pandemic disease and show that a consistent vaccination strategy could control it. Our proposal is the first model introducing a vaccination strategy to actively infected cases. We are sure this work will serve as the basis for future research on COVID-19 and pandemic diseases since our study also considers the vaccinated population.

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KW - Laplace transform

KW - SARS-CoV-2

KW - basic reproduction number

KW - equilibrium points

KW - fractional derivatives

KW - numerical methods

KW - sensitivity and stability analyses

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On a Novel Dynamics of a SIVR Model Using a Laplace Adomian Decomposition Based on a Vaccination Strategy

Abstract

Keywords

UN SDGs

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