On the decomposition and analysis of novel simultaneous SEIQR epidemic model

Kalpana Umapathy; Balaganesan Palanivelu; Renuka Jayaraj; Dumitru Baleanu; Prasantha Bharathi Dhandapani; Kalpana Umapathy; Balaganesan Palanivelu; Renuka Jayaraj; Dumitru Baleanu; Prasantha Bharathi Dhandapani

doi:10.3934/math.2023298

AIMS Mathematics

2023, Volume 8, Issue 3: 5918-5933. doi: 10.3934/math.2023298

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Research article

On the decomposition and analysis of novel simultaneous SEIQR epidemic model

1.
Department of Mathematics, AMET Deemed to be University, Chennai-603 112, Tamil Nadu, India
2.
Department of Mathematics, Women's Christian College, Chennai-600 006, Tamil Nadu, India
3.
Department of Mathematics, Cankaya University, Ankara, 06530, Turkey
4.
Institute of Space Sciences, Magurele-Bucharest, Romania
5.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
6.
Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore-641 202, Tamil Nadu, India

Received: 04 September 2022 Revised: 05 December 2022 Accepted: 13 December 2022 Published: 27 December 2022
MSC : 74H15, 34A07

In this manuscript, we are proposing a new kind of modified Susceptible Exposed Infected Quarantined Recovered model (SEIQR) with some assumed data. The novelty imposed here in the study is that we are studying simultaneously SIR, SEIR, SIQR, and SEQR pandemic models with the same data unchanged as the SEIQR model. We are taking this model a step ahead by using a non-helpful transition because it was mostly skipped in the literature. All sorts of features that are essential to study the models, such as basic reproduction number, stability analysis, and numerical simulations have been examined for this modified SEIQR model with decomposed other epidemic models.
- new SEIQR epidemic model,
- basic reproduction number,
- stability analysis,
- sensitivity analysis,
- pandemic model,
- quarantine strategy
Citation: Kalpana Umapathy, Balaganesan Palanivelu, Renuka Jayaraj, Dumitru Baleanu, Prasantha Bharathi Dhandapani. On the decomposition and analysis of novel simultaneous SEIQR epidemic model[J]. AIMS Mathematics, 2023, 8(3): 5918-5933. doi: 10.3934/math.2023298

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Abstract

In this manuscript, we are proposing a new kind of modified Susceptible Exposed Infected Quarantined Recovered model (SEIQR) with some assumed data. The novelty imposed here in the study is that we are studying simultaneously SIR, SEIR, SIQR, and SEQR pandemic models with the same data unchanged as the SEIQR model. We are taking this model a step ahead by using a non-helpful transition because it was mostly skipped in the literature. All sorts of features that are essential to study the models, such as basic reproduction number, stability analysis, and numerical simulations have been examined for this modified SEIQR model with decomposed other epidemic models.

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