Analyze of the Model for Cancer Transmission

Abstract

Cancer is a disease which dividing of abnormal cells cannot controlled and can invade nearby tissues. Cancer cells can also spread to other body organs. Moreover, we know that the genetic is a cause of cancer. So, we used SIR model (Susceptible-Infected-Recovered) for focusing on the mathematical model of cancer. We examined the dynamics of the disease and use dynamic analysis for analyzing the stability of the model. Then we found the equilibrium states and the basic reproductive number of the mathematical model of cancer. By the numerical simulations, the comparison of the parameters effect to the model, result, and conclusion are presented.