DYNAMIC SYSTEM MODEL OF COLOR VISION DEFICIENCY POPULATION

• Main Author: Leonardo Louismono, Andy
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/47842
• Institution: Institut Teknologi Bandung

Color blindness or also known as color vision deficiency is a genetic disorder that causes sufferers unable to see colors completely. The phenomenon of color blindness can be traced to the previous generation because of this deficiency hereditary following Mendel’s law of segregation. To understand how color blindness can spread in a population is relatively difficult, so it is necessary to build a mathematical model that can provide results that are relevant to a real phenomenon. In this Final Project, a mathematical model to determine the dynamics of the population of people with normal vision, color blindness, and carriers is built. The mathematical model that used is a dynamic system model that consists of a autonomous differential equation system. In this case, two models were built, a color blind population model without considering gender and a color blind population model with considering gender. Based on the model, carried out the equilibrium points and Hardy-Weinberg equilibrium analysis. Based on the color blind population model, three possibilities of equilibrium condition obtained. The possibilities are the proportion of normal people is more than the proportion of the color blind people, the proportion of normal people is less than the proportion of the color blind people, and the proportion of normal people is equal to the proportion of the color blind people. The equilibrium condition does not depend on parameters and only depends on the initial condition given to the model.