Stability analysis of mathematical model of virus therapy and chemotherapy for cancer

Abstract

Virus therapy models for cancer cells use two state variables, and they represent uninfected cancer cells and infected cancer cells. The models are modified by adding chemotherapy with the 3rd variable represents the concentration of chemotherapy drugs. This research discussed the stability of the mathematical model for cancer treatment by using the combination of oncolytic virus therapy and chemotherapy. This study aims to observe the behavior of equilibrium points. Stability analysis is carried out around the equilibrium points by using the eigenvalues criteria of the Jacobian matrix. The results show that the system of the mathematical model for cancer are asymptotically stable at one equilibrium point.