Interaction of virus in cancer patients: a theoretical dynamic model
Tarih
2023Yazar
Shakhmurov, Veli
Kurulay, Muhammet
Sahmurova, Aida
Gürsesli, Mustafa Can
Lanata, Antonio
Üst veri
Tüm öğe kaydını gösterÖzet
This study reports on a phase-space analysis of a mathematical model of tumor growth with
the interaction between virus and immune response. In this study, a mathematical determination was
attempted to demonstrate the relationship between uninfected cells, infected cells, effector immune
cells, and free viruses using a dynamic model. We revealed the stability analysis of the system
and the Lyapunov stability of the equilibrium points. Moreover, all endemic equilibrium point
models are derived. We investigated the stability behavior and the range of attraction sets of the
nonlinear systems concerning our model. Furthermore, a global stability analysis is proved either in
the construction of a Lyapunov function showing the validity of the concerned disease-free equilibria
or in endemic equilibria discussed by the model. Finally, a simulated solution is achieved and the
relationship between cancer cells and other cells is drawn.