Stochastic Dynamics of Tumor-Immune System: A Numerical Approach

Abstract

In this work, a very well known tumor-immune system model from the literature, Kuznetsov et al.’s model, is converted into two different Stochastic Differential Equation (SDE) models and an Itô formalism of the models are obtained. Furthermore, the models are made discrete by using Euler-Maruyama scheme, simulation results of the corresponding models are investigated and compared

Keywords

• itô calculus
• stochastic model
• markov chain
• euler-maruyama method
• tumor-immune system