QUALITATIVE AND STABILITY ANALYSIS WITH LYAPUNOV FUNCTION OF EMOTION PANIC SPREADING MODEL INSIGHT OF FRACTIONAL OPERATOR

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dc.authoridLi, Peiluan/0000-0001-5545-6185
dc.authoridXu, Changjin/0000-0001-5844-2985
dc.contributor.authorLi, Peiluan
dc.contributor.authorXu, Changjin
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorPang, Yicheng
dc.date.accessioned2024-12-24T19:29:43Z
dc.date.available2024-12-24T19:29:43Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn an emergency, fear can spread among crowds through one-on-one encounters, with negative societal consequences. The purpose of this research is to create a novel theoretical model of fear (panic) spread in the context of epidemiology during an emergency using the fractal fractional operator. For quantitative analysis, the system's boundedness and positivity are checked. According to the Arzela Ascoli theorem, the model is completely continuous. As a result of the discovery of Schauder's fixed point, it has at least one solution. The existence and uniqueness of the concerned solution have been examined using the fixed point theory technique. Numerical simulations are used to demonstrate the accuracy of the proposed techniques using a generalized form of Mittag-Leffler kernel with a fractal fractional operator. Finally, simulations are utilized to represent the spread of group emotional contagion (spontaneous spread of emotions and related behaviors) dynamically.
dc.description.sponsorshipFoundation of Science and Technology of Guizhou Province [[2019]1051]; Guizhou University of Finance and Economics [2018XZD01]
dc.description.sponsorshipThe authors would like to thank the Foundation of Science and Technology of Guizhou Province ([2019]1051) the Guizhou University of Finance and Economics (2018XZD01).
dc.identifier.doi10.1142/S0218348X24400115
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85183531602
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1142/S0218348X24400115
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7221
dc.identifier.volume32
dc.identifier.wosWOS:001146281400001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofFractals-Complex Geometry Patterns and Scaling in Nature and Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectPanic Spreading Model
dc.subjectLyapunov Stability
dc.subjectUnique Solution
dc.subjectQualitative Analysis
dc.subjectMittag-Leffler Kernel
dc.subjectFixed-point Theory
dc.titleQUALITATIVE AND STABILITY ANALYSIS WITH LYAPUNOV FUNCTION OF EMOTION PANIC SPREADING MODEL INSIGHT OF FRACTIONAL OPERATOR
dc.typeArticle

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