MODEL AND SIMULATION OF POPULATION DYNAMICS BASED ON FICTION FILM

• Main Author: Nurrizky, Insan
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/44317
• Institution: Institut Teknologi Bandung

Undead are creatures that have deceased but behave as if alive. Vampire, werewolf, zombie are some examples of undead creatures that the existence can be increased by transmitting infection to human (susceptible). In some folklore mentions that the existence of creatures such as vampire, werewolf, and zombie are real. Different from modern society who believe that these creatures just horror fiction. This final project includes simulation cases what would happen if these creatures are real, assuming that population bomb from these creatures as spread of disease. Every cases are modeled by system of differential equations adapted from SIR model. Models divided into 2 i.e mathematical model in case spread of zombie infection and mathematical model in case spread of infection and interaction vampirewerewolf. Model analysis is done by finding equilibrium point and the stability. Numerical simulation are done by creating several cases in Underworld series with different parameter values. The simulation results can captured the phenomenon that occurs in the selected scenario.