MATHEMATICAL MODEL FOR LUNG CANCER DUE TO EFFECT OF SECONDHAND SMOKE AND PREVENTION

• Main Author: Al Maududi, Roni
• Format: Theses
• Language: Indonesia
• Subjects: Matematika
• Online Access: https://digilib.itb.ac.id/gdl/view/33782
• Institution: Institut Teknologi Bandung

Lung cancer is one of the most common cancers that cause many death cases in the world. Cigarette smoke or secondhand smoke is one of the most important risk factor in development of lung cancer. In this thesis, a Mathematical model for lung cancer which is represented by a non-linear system of differential equations is used to model the dynamics of a population which includes smokers. A new recruit who wants to enter the population will have two ways in, that is by entering the non-smoker class or by entering the potential-smoker class with a particular probability. If the probability of a new recruit entering the non-smoker class is bigger than the potential smoker class, then the development of the endemic of lung cancer in this population will decrease and die out eventually. On the contrary, if the probability of a new recruit entering the non-smoker class is smaller than the potential smoker class and s/he becomes a regular smoker (light smoker or heavy smoker) with high rate, then the development of the endemic of lung cancer in this population will increase and never die out. The basic reproductive number (????0) from the model is determined and then by looking at this ????0, we can analyze the sensitivity of the system by observing the parameters that can drastically change the value of ????0. Numerical simulation using realistic data toward the model’s parameters will be provided to illustrate the dynamics of this population.