Infectious Disease Transmission In A Modified SEIRS model

Fuente: arXiv
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Main Authors: Banerjee, Kasturi, Ray, Subhankar, Shamanna, Jayalakshmi
Format: Preprint
Published: 2025
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author Banerjee, Kasturi
Ray, Subhankar
Shamanna, Jayalakshmi
author_facet Banerjee, Kasturi
Ray, Subhankar
Shamanna, Jayalakshmi
contents Compartmental models like the Susceptible-Infected-Recovered (SIR)\cite{Kermack1927} and its extensions such as the Susceptible-Exposed-Infected-Recovered (SEIRS)\cite{Ottar2020,Ignazio2021,Grimm2021,Paoluzzi2021} are commonly used to model the spread of infectious diseases. We propose here, a modified SEIRS, namely, an SEIRSD model which comprises of (i) a reverse transmission from exposed to susceptible compartment to account for the probabilistic character of disease transmission seen in nature, and (ii) inclusion of mortality caused by infection in addition to death by other causes. We observed that, a reverse flow from exposed to susceptible class, has a significant impact on the height of infection peaks and their time of occurrence. In view of the recent surges of Covid-19 variants, this study is most relevant.
format Preprint
id arxiv_https___arxiv_org_abs_2507_08385
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Infectious Disease Transmission In A Modified SEIRS model
Banerjee, Kasturi
Ray, Subhankar
Shamanna, Jayalakshmi
Populations and Evolution
Physics and Society
Compartmental models like the Susceptible-Infected-Recovered (SIR)\cite{Kermack1927} and its extensions such as the Susceptible-Exposed-Infected-Recovered (SEIRS)\cite{Ottar2020,Ignazio2021,Grimm2021,Paoluzzi2021} are commonly used to model the spread of infectious diseases. We propose here, a modified SEIRS, namely, an SEIRSD model which comprises of (i) a reverse transmission from exposed to susceptible compartment to account for the probabilistic character of disease transmission seen in nature, and (ii) inclusion of mortality caused by infection in addition to death by other causes. We observed that, a reverse flow from exposed to susceptible class, has a significant impact on the height of infection peaks and their time of occurrence. In view of the recent surges of Covid-19 variants, this study is most relevant.
title Infectious Disease Transmission In A Modified SEIRS model
topic Populations and Evolution
Physics and Society
url https://arxiv.org/abs/2507.08385