Stochastic Dynamics of Tumor-Immune System

Year 2019, Volume: 2 Issue: 1, 1 - 6, 30.04.2019

Nurgül Gökgöz

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 It\^{o} 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

Ito Calculus, Stochastic Model, Markov Chain, Euler-Maruyama Method, Tumor-Immune System

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