Forest insect pests are severe disturbance factors in forest ecosystems, inducing the diverse negative impacts on the forestry economy, ecosystem service, biodiversity, and sustainable ecosystem management. Majority of forest insect pests are invasive species in many countries. To understand the occurrence patterns including population dynamics and dispersal of species, ecological modelling is popularly considered as a tool. Ecological modelling can provide information that is required for decision making through hazard ratings, the examination of potential impacts, and the prediction of dispersal patterns for forest pests. In this study, we review the modelling methods and present some case studies conducted in Korean forests.