TITLE:
Mathematical Modeling and Analysis of Tumor Therapy with Oncolytic Virus
AUTHORS:
Manju Agarwal, Archana S. Bhadauria
KEYWORDS:
Tumor, Oncolytic Virus, Limit Cycles, Chaotic Behavior, Attractors, Asymptotic Stability
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.1,
January
30,
2011
ABSTRACT: In this paper, we have proposed and analyzed a nonlinear mathematical model for the study of interaction between tumor cells and oncolytic viruses. The model is analyzed using stability theory of differential equa- tions. Positive equilibrium points of the system are investigated and their stability analysis is carried out. Moreover, the numerical simulation of the proposed model is also performed by using fourth order Runge- Kutta method which supports the theoretical findings. It is found that both infected and uninfected tumor cells and hence tumor load can be eliminated with time, and complete recovery is possible because of virus therapy, if certain conditions are satisfied. It is further found that the system appears to exhibit periodic limit cycles and chaotic attractors for some ranges of the system parameters.