2023
DOI: 10.2478/ijmce-2023-0007
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Fractional SIZR model of Zombie infection

Abstract: This research paper investigates the SIZR model for Zombie infection outbreaks with a time-dependent infection rate. The proposed model is extended to the fractional order using different fractional derivative operators. The solution of the proposed model by numerical schemes, is briefed. Graphical representations provide us with a better understanding of this mathematical model. Lastly, as observed in movies, we conclude that Zombie infection can open to the destruction and collapse of human development and i… Show more

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Cited by 22 publications
(5 citation statements)
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References 30 publications
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“…ESPA shows remarkable performance in the present CCE model and is expected to be a suitable alternative for similar models of fractional order [46][47][48] as well as integer [49][50][51][52] orders in epidemiology and image processing [53]. Despite its remarkable performance on the underlying model, it is important to highlight that each approach has limits in real-world applications when comparing alternative ways alongside the ESPA scheme.…”
Section: Advantages Of Espa Schemementioning
confidence: 97%
“…ESPA shows remarkable performance in the present CCE model and is expected to be a suitable alternative for similar models of fractional order [46][47][48] as well as integer [49][50][51][52] orders in epidemiology and image processing [53]. Despite its remarkable performance on the underlying model, it is important to highlight that each approach has limits in real-world applications when comparing alternative ways alongside the ESPA scheme.…”
Section: Advantages Of Espa Schemementioning
confidence: 97%
“…Its influence spans critical domains such as nanoengineering, dynamic systems, and microelectronics. The main aspiration of fractional calculus is to extend differentiation and integration to fractional order, a concept that has been around since the 17th century due to the groundbreaking work of Leibnitz, Euler, Lagrange, Abel, Liouville, and many others [8][9][10]. A growing area of mathematics called fractional calculus (FC) has diverse applications in all connected sectors of science and problems of engineering.…”
Section: Introductionmentioning
confidence: 99%
“…These influential publications have played a crucial role in shaping our current understanding of hybrid differential equations, offering profound insights into their nature and behavior. To delve deeper into this subject matter, interested individuals can consult the following references: Asaduzzaman et al [18], ElHady et al [19], Hattaf et al [20], and NIkan et al [21], along with additional sources such as [22][23][24][25][26].…”
Section: Introductionmentioning
confidence: 99%