The stability and random attractors of the stochastic model describing the oncolytic virotherapy with tumor-virus interactions

Abstract

The treatment of cancer tumors varies based on cancer type, stage, location, and patient health. This research focuses on viral therapy, which employs viruses that target and eliminate malignant cells while sparing healthy ones. A stochastic model investigates suicidal viral tumor therapy, emphasizing the interaction between tumorous and non-tumorous cells. The study analyzes the stochastic dynamics and stability of the system's equilibrium points through stochastic differential equations. Key model factors affecting viral treatment outcomes are identified through bifurcation parameters and sensitivity analysis, validated by numerical simulation.