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A Novel Nonlinear Dynamic Model Describing the Spread of Virus

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dc.contributor.authorShakhmurov, Veli B.
dc.contributor.authorKurulay, Muhammet
dc.contributor.authorSahmurova, Aida
dc.contributor.authorGursesli, Mustafa Can
dc.contributor.authorLanata, Antonio
dc.date.accessioned2026-06-27T14:55:55Z
dc.date.issued2023
dc.description.abstractThis study proposes a nonlinear mathematical model of virus transmission. The interaction between viruses and immune cells is investigated using phase-space analysis. Specifically, the work focuses on the dynamics and stability behavior of the mathematical model of a virus spread in a population and its interaction with human immune system cells. The endemic equilibrium points are found, and local stability analysis of all equilibria points of the related model is obtained. Further, the global stability analysis, either at disease-free equilibria or in endemic equilibria, is discussed by constructing the Lyapunov function, which shows the validity of the concern model. Finally, a simulated solution is achieved, and the relationship between viruses and immune cells is highlighted.en
dc.description.urihttps://doi.org/10.3390/math11204226
dc.identifier.doi10.3390/math11204226
dc.identifier.eissn2227-7390
dc.identifier.issue20
dc.identifier.urihttps://hdl.handle.net/20.500.14981/66372
dc.identifier.volume11
dc.identifier.wos001119397700001
dc.language.isoeng
dc.publisherMDPI
dc.relation.ispartofMATHEMATICS
dc.rightsopenAccess
dc.subjectmathematical modeling
dc.subjectvirus
dc.subjectimmune system
dc.subjectstability of dynamical systems
dc.subject92-11
dc.subjectMATHEMATICAL-ANALYSIS
dc.subjectTRANSMISSION
dc.subjectINFECTION
dc.subjectSTABILITY
dc.subjectEPIDEMIC
dc.subjectMathematics
dc.titleA Novel Nonlinear Dynamic Model Describing the Spread of Virus
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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