A Novel Nonlinear Dynamic Model Describing the Spread of Virus

Veli B. Shakhmurov, Muhammet Kurulay, Aida Sahmurova, Mustafa Can Gursesli, Antonio Lanata*

*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: Dergiye katkıMakalebilirkişi

1 Atıf (Scopus)

Özet

This 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.

Orijinal dilİngilizce
Makale numarası4226
DergiMathematics
Hacim11
Basın numarası20
DOI'lar
Yayın durumuYayınlandı - Eki 2023
Harici olarak yayınlandıEvet

Bibliyografik not

Publisher Copyright:
© 2023 by the authors.

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