Shakhmurov, V.B.; Kurulay, M.; Sahmurova, A.; Gursesli, M.C.; Lanata, A. A Novel Nonlinear Dynamic Model Describing the Spread of Virus. Mathematics2023, 11, 4226.
Shakhmurov, V.B.; Kurulay, M.; Sahmurova, A.; Gursesli, M.C.; Lanata, A. A Novel Nonlinear Dynamic Model Describing the Spread of Virus. Mathematics 2023, 11, 4226.
Shakhmurov, V.B.; Kurulay, M.; Sahmurova, A.; Gursesli, M.C.; Lanata, A. A Novel Nonlinear Dynamic Model Describing the Spread of Virus. Mathematics2023, 11, 4226.
Shakhmurov, V.B.; Kurulay, M.; Sahmurova, A.; Gursesli, M.C.; Lanata, A. A Novel Nonlinear Dynamic Model Describing the Spread of Virus. Mathematics 2023, 11, 4226.
Abstract
This study proposes a nonlinear mathematical model of virus transmission based on the SEIR model. In this study, the interaction between viruses and immune cells is investigated using phase-space analysis of a mathematical model. Specifically, it is focused on the dynamics and stability behavior of the mathematical model of a virus spread in a population and its interaction with human immune systems 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 exists. Finally, a simulated solution is achieved and the relationship between viruses and immune cells is highlighted.
Keywords
Mathematical modeling; Virus; Immune system; Stability of dynamical systems; SEIR
Subject
Computer Science and Mathematics, Mathematical and Computational Biology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
