Mathematical study of fractal-fractional leptospirosis disease in human and rodent populations dynamical transmission

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dc.authoridNisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320
dc.contributor.authorFarman, populations dynamical Muhammad
dc.contributor.authorJamil, Saba
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:25:20Z
dc.date.available2024-12-24T19:25:20Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn both industrialized and developing nations, leptospirosis is one of the most underdiagnosed and underreported diseases. It is known that people are more likely to contract a disease depending on their employment habits and the environment they live in, which varies from community to community. The absence of global data for morbidity and mortality has contributed to leptospirosis' neglected disease status even though it is a life -threatening illness and is widely acknowledged as a significant cause of pulmonary hemorrhage syndrome. This study aims to examine the impact of rodent -borne leptospirosis on the human population by constructing and evaluating a compartmental mathematical model using fractional -order differential equations. The model considers both the presence of disease -causing agents in the environment and the rate of human infection resulting from interactions with infected rodents and the environment. Through this approach, the research investigates the dynamics and implications of leptospirosis transmission in the context of human -rodent interactions and environmental factors. We create a fractal -fractional model using the mittag-leffler kernel. The positivity and boundedness of solutions are first discussed. The model equilibria and fundamental reproduction number are then presented. With the use of the Lyapunov function method, the solutions are subjected to global stability analysis. The fixed-point theory is used to derive the fractional -order model's existence and uniqueness. Solutions are produced using a two-step Lagrange polynomial in the generalized form of the Mittag-Leffler kernel to explore the effect of the fractional operator with numerical simulations, which shows the influence of the sickness due to the effect of different parameters involved. Such a study will aid in the development of control strategies to combat the disease in the community and an understanding of the behavior of the Leptospira virus.
dc.description.sponsorshipPrince Sattam bin Abdulaziz University [PSAU/2023/01/2189822]
dc.description.sponsorshipAcknowledgements This study is supported via funding from Prince Sattam bin Abdulaziz University project number (PSAU/2023/01/2189822)
dc.identifier.doi10.1016/j.asej.2023.102452
dc.identifier.issn2090-4479
dc.identifier.issn2090-4495
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85169895522
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.asej.2023.102452
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6361
dc.identifier.volume15
dc.identifier.wosWOS:001165120200001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAin Shams Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectFractal-fractional operator
dc.subjectMittag-Leffler kernel
dc.subjectLeptospirosis disease
dc.subjectBiological feasibility
dc.subjectVolterra-type Lyapunov function
dc.subjectTwo-step Lagrange polynomial
dc.titleMathematical study of fractal-fractional leptospirosis disease in human and rodent populations dynamical transmission
dc.typeArticle

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