SIRSi compartmental model for COVID-19 pandemic with immunity loss

Abstract

Highlights A modification of SIR model, SIRSi model, was fitted to data of the Covid-19 outbreak. The model is able to estimate the duration and peaks of the outbreak. Additionally, the model allows to infer unreported and asymptomatic cases. The model contains a feedback loop considering different immunity responses.

Introduction to Group-Structured-Epidemic Model

“…In the next example, we will apply the GSEM to describe the model used in the work of Batistela et al. ( 2021 ), which is an SIRSi model for the COVID-19 pandemic with immunity loss. In the SIRSi model proposed by the authors, they divide the individuals into four classes, S, I, K, R, according to Fig.…”

Mathematical model, forecast and analysis on the spread of COVID-19

“…In [10] , researchers have given their view points on various issues like the challenges of modelling COVID-19, early containment measures, causes and effects of super-spreading, contact tracing and isolation. C. M. Batistela et al [11] developed a susceptible-infected-recovered-sick (SIRSi) compartmental model for COVID-19 and through this they mainly analyse the role of symptomatic population, asymptomatic population and temporary immunity. N. A. Kudryashov et al [12] considered a two-parameter epidemiological SIR model for COVID-19 to analyse the infection expansion based on first integrals.…”

Epidemiological Control of COVID-19 Through the Theory of Variable Structure and Sliding Mode Systems

“…For instance, Oro et al (2020) study the modeling and forecast of the number of new daily cases of COVID-19, in the State of Paraná by using an Autoregressive Distributed Lag Model. Batistela et al (2020) study the dynamics of the Covid-19 pandemic by proposing a Susceptible-Infected-Removed-Sick (SIRSi) compartmental model. The proposed model considers the possibility of unreported or asymptomatic cases, and differences in the immunity within a population.…”