A Discrete Time Mathematical Model on Lung Cancer Incorporating Smokers and Non Smokers

Abstract

Cancer epidemiology is the branch of epidemiology concerned with the disease cancer. Cancer epidemiology uses epidemiological methods to find the cause of cancer and to identify and develop improved treatments. In this paper, we construct and analyze a discrete time mathematical model on lung cancer involving smokers and non smokers. We derive the two equilibrium points namely smoke free and smoke induced equilibrium and analyze the conditions in which the equilibrium points are stable or unstable. We derive the basic reproduction number of the model. Finally, we prove our theoretical results using numerical simulations through MATLAB.