19年美赛A题论文.docx

Team # 1900141 Page PAGE 19 of 24 PAGE For office use only T1 ________________ T2 ________________ T3 ________________ T4 ________________ Team Control Number 1900141 ? Problem Chosen A For office use only F1 ________________ F2 ________________ F3 ________________ F4 ________________ 2019 Mathematical Contest in Modeling (MCM) Summary Sheet Simulation Model of Dragons Based on Biology Summary In this paper, we made an ecological analysis of the fictional dragon in the Game of Thrones . A bio-simulation model was established to simulate the dragon. These models include energy consumption and heat release models and environmental interaction models in migration and non-migration state. In the non-migratory state, we give a possible growth curve of the dragon based on Richards model. We divide the dragons energy consumption into the energy consumed by life activities and the energy consumed by growth. The energy consumed by life activities includes the energy consumed by fire, movements and heat release. Calorie intake is based on energy consumption and assimilation efficiency. In the environmental interaction model, we synthesize the temperature and primary productivity of different environment and consider the minimum living area of a dragon in different environments without causing ecosystem collapse. In the migration state, we also consider the energy consumption of the dragons activitiesn but neglect the growth of the dragon in this relatively short period of time. In the environmental interaction model, we consider the different ecological environments in the process of migration to determine the calorie provided to the dragon, and whether the community assistant is enough when the dragon passes through different environments in the process of migration. The significance of this study is as follows: The results of this study can provide constructive su