TY - JOUR
T1 - A Novel Nonlinear Dynamic Model Describing the Spread of Virus
AU - Shakhmurov, Veli B.
AU - Kurulay, Muhammet
AU - Sahmurova, Aida
AU - Gursesli, Mustafa Can
AU - Lanata, Antonio
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/10
Y1 - 2023/10
N2 - 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.
AB - 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.
KW - immune system
KW - mathematical modeling
KW - stability of dynamical systems
KW - virus
UR - http://www.scopus.com/inward/record.url?scp=85175581937&partnerID=8YFLogxK
U2 - 10.3390/math11204226
DO - 10.3390/math11204226
M3 - Article
AN - SCOPUS:85175581937
SN - 2227-7390
VL - 11
JO - Mathematics
JF - Mathematics
IS - 20
M1 - 4226
ER -