ArticleNonlinear dynamics2022
Study of COVID-19 epidemiological evolution in India with a multi-wave SIR model.
Article in Nonlinear dynamics, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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9 citing papers in PubMed.
- Cycle Threshold (Ct) Value Trends in COVID-19: Analyzing Gender, Age, and Severity Factors Across Major Waves in India.Immunity, inflammation and disease · 2026Article
- Integrated disease model considering mutation-induced infection waves with COVID-19 cases.PloS one · 2026Article
- Article
- A fractional mathematical model with nonlinear partial differential equations for transmission dynamics of severe acute respiratory syndrome coronavirus 2 infection.Healthcare analytics (New York, N.Y.) · 2023Article
- Plausible explanation for the third COVID-19 wave in India and its implications.Infectious Disease Modelling · 2023Article
- COVID-19 multiwaves as multiphase percolation: a general N-sigmoidal equation to model the spread.European physical journal plus · 2023Article
- Bayesian SIR model with change points with application to the Omicron wave in Singapore.Scientific reports · 2022Article
- Investigation of vaccination game approach in spreading covid-19 epidemic model with considering the birth and death rates.Chaos, solitons, and fractals · 2022Article
- Preface to the special issue "Complex dynamics of COVID-19: modeling, prediction and control (part II)".Nonlinear dynamics · 2022Article
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2 authors.
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Abstract
The global pandemic due to the outbreak of COVID-19 ravages the whole world for more than two years in which all the countries are suffering a lot since December 2019. In this article characteristics of a multi-wave SIR model have been studied which successfully explains the features of this pandemic waves in India. Origin of the multi-wave pattern in the solution of this model is explained. Stability of this model has been studied by identifying the equilibrium points as well as by finding the eigenvalues of the corresponding Jacobian matrices. In this model, a finite probability of the recovered people for becoming susceptible again is introduced which is found crucial for obtaining the oscillatory solution in other words. Which on the other hand incorporates the effect of new variants, like delta, omicron, etc in addition to the SARS-CoV-2 virus. The set of differential equations has been solved numerically in order to obtain the variation of susceptible, infected and removed populations with time. In this phenomenological study, some specific sets of parameters are chosen in order to explain the nonperiodic variation of infected population which is found necessary to capture the feature of epidemiological wave prevailing in India. The numerical estimations are compared with the actual cases along with the analytic results.
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