Modelling and Analysis of a Delay Induced Dynamical Model on Oncolytic Virotherapy With Tumor Extincting Optimal Strategies

We study a nonlinear delayed dynamical model that illustrates the interaction between an oncolytic virus and the cancerous cells. The model includes two kind of cancerous cells, infected ones (infected by an oncolytic virus) and uninfected ones. The necessary stability conditions are established in order to stabilize the system in equilibrium. The burst size of the virus has a critical value below which the therapy fails and beyond which the partial success of the therapy takes place. The inclusion of the delay in the model leads to periodic solutions. Further, we include two controls, one to optimize rate of infection and other to optimize viral load. The corresponding three strategies are discussed and concluded that combination of first two strategies comes out to be best in extinction of the tumor completely. Numerical simulations are done using MATLAB software. We have used forward-backward sweep method to simulate the optimal control problem.