Epidemic models on disease spread attempt to simulate disease transmission and associated control processes. This study reviewed published papers on epidemiological models for the management of foot-and-mouth disease in the world. In addition, an individual animal-based, spatially-explicit, stochastic disease transmission model, the Davis Animal Disease Simulation (DADS) model, was described in the frame of an international collaborative research project participating three countries: Republic of Korea, USA, and New Zealand. In this project, the Korean team is aiming at developing the most appropriate parameters for livestock and epidemiology of foot-and-mouth disease outbreaks. On the other hand, the purpose of foreign counterparts is validating their models: DADS (USA) and InterSpread Plus (New Zealand). Classification of farm types and preliminary estimations on the frequency of intra-herd contacts were also presented. This research project is expected to provide precious information to plan a strategy that will facilitate the eradication of foot-and-mouth disease from Korea.