Hopf Bifurcation on a Cancer Therapy Model by Oncolytic Virus Involving the Malignancy Effect and Therapeutic Efficacy

We introduce a mathematical model that shows the interaction dynamics between the uninfected and the infected cancer cell
populations with oncolytic viruses for the benign and the malignant cancer cases. *ere are two important parameters in our
model that represent the malignancy level of the cancer cells and the efficacy of the therapy. *e parameters play an important role
to determine the possibility to have successful therapy for cancer. Our model is based on the predator-prey model with logistic
growth, functional response, and the saturation effect that show the possibility for the virus to be deactivated and blocked by the
human immune system after they reach a certain value. In this paper, we consider the appearance of the Hopf bifurcation on the
system to characterize the treatment response based on the malignancy effect of the disease. We employ numerical bifurcation
analysis when the value of the malignancy parameter is varied to understand the dynamics of the system.