Fractional SIAQR model with time dependent infection rate

In this study we have proposed the SIAQR model with time-dependent infection rate. The model's well-posedness is demonstrated, and the proposed model is then extended to the fractional mathematical model by employing the Caputo-Fabrizio fractional derivative operator. We have also used the Lips...

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Bibliographic Details
Published inArab journal of basic and applied sciences Vol. 30; no. 1; pp. 307 - 316
Main Authors Althubiti, Saeed, Sharma, Shivani, Goswami, Pranay, Dubey, Ravi Shanker
Format Journal Article
LanguageEnglish
Published Taylor & Francis 31.12.2023
Taylor & Francis Group
Subjects
92C60
existence and uniqueness
Fractional derivative
numerical solution
Primary 92B05
Secondary 26A33
SIAQR model
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Summary:In this study we have proposed the SIAQR model with time-dependent infection rate. The model's well-posedness is demonstrated, and the proposed model is then extended to the fractional mathematical model by employing the Caputo-Fabrizio fractional derivative operator. We have also used the Lipschitz condition and the linear growth condition to determine the conditions under which the model has a unique solution. The numerical solutions are presented. Furthermore, using graphical representations we will see how the number of infected, recovered individuals vary as the order of fractional derivative varies.
ISSN:2576-5299
2576-5299
DOI:10.1080/25765299.2023.2209981