6 - Stability analysis of an unhealthy diet model with the effect of antiangiogenesis treatment

Abstract

In this study, stability analysis of an unhealthy diet model involving immune cells and abnormal cells with antiangiogenesis treatment is discussed. We determined the feasibility of the solution, the conditions for the local stability of all equilibrium points by using standard stability analysis and including global stability condition for the tumor free equilibrium point. There is a time lag when the immune cells interact with abnormal cells and vice-versa, which is induced into the system by the term "b". The existence of equilibrium points in the proposed time-delayed model is investigated in the following section, and the effect of time lag in the system has been numerically demonstrated. The treatment plan is demonstrated using simulations and numerical data to show that it can reduce abnormalities.