@article{abernathy_abernathy_stevens_2020, title={A mathematical model for tumor growth and treatment using virotherapy}, volume={5}, ISSN={["2473-6988"]}, DOI={10.3934/math.2020265}, abstractNote={We present a system of four nonlinear differential equations to model the use of virotherapy as a treatment for cancer. This model describes interactions among infected tumor cells, uninfected tumor cells, effector T-cells, and virions. We establish a necessary and sufficient treatment condition to ensure a globally stable cure state, and we additionally show the existence of a cancer persistence state when this condition is violated. We provide numerical evidence of a Hopf bifurcation under estimated parameter values from the literature, and we conclude with a discussion on the biological implications of our results.}, number={5}, journal={AIMS MATHEMATICS}, author={Abernathy, Zachary and Abernathy, Kristen and Stevens, Jessica}, year={2020}, pages={4136–4150} }