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Dynamical analysis of a class of SEIR models through delayed strategies

dc.contributor.authorAlfwzan, Wafa F.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorRaza, Ali
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorAhmed, Nauman
dc.contributor.authorID56389tr_TR
dc.date.accessioned2023-12-05T13:49:18Z
dc.date.available2023-12-05T13:49:18Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn recent decades, the mathematical modeling of infectious diseases, real-world problems, non-linear dynamical complex systems, etc., has increased significantly. According to World Health Organization, tobacco use is the cause of about 22% of cancer deaths. Another 10% are due to obesity, poor diet, lack of physical activity, and excessive drinking of alcohol. Approximately 5%-10% of cancers are due to inherited genetic defects. The objective is to investigate the impact of time delays in implementing control measures on the epidemic dynamics. The classification of cell population has four compartments: susceptible cells (x), cancer-infected cells (y), virus-free cells (v), and immune cells (z). Our focus is to find the equilibria of the problem and their stability. The stability of the solutions is of two types: locally asymptotic and globally asymptotic. The Routh-Hurwitz criterion, Volterra-type Lyapunov function, and LaSalle’s invariance principle are used to verify the stability of solutions. The graphical behavior depicts the stable solutions to a real-world problem and supports the stability analysis of the problem. The findings contribute to the understanding of epidemic dynamics and provide valuable information for designing and implementing effective intervention strategies in public health systems.en_US
dc.description.publishedMonth7
dc.identifier.citationAlfwzan, Wafa F...et.al. (2023). "Dynamical analysis of a class of SEIR models through delayed strategies", AIP Advances, Vol.13, No.7.en_US
dc.identifier.doi10.1063/5.0159942
dc.identifier.issn21583226
dc.identifier.issue7en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6748
dc.identifier.volume13en_US
dc.language.isoenen_US
dc.relation.ispartofAIP Advancesen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCell Proliferationen_US
dc.subjectDisease Controlen_US
dc.subjectDiseasesen_US
dc.subjectVirusesen_US
dc.subjectCell Cultureen_US
dc.titleDynamical analysis of a class of SEIR models through delayed strategiestr_TR
dc.titleDynamical Analysis of a Class of Seir Models Through Delayed Strategiesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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