This document discusses modeling real-time interaction between a user and a ubiquitous system using dynamic Petri net models. It proposes using Petri nets to model a user's activity as a set of elementary actions. Elementary actions are modeled as Petri net structures that are then composed together through techniques like sequence, parallelism, etc. to form an overall model of user-system interaction. The models can be dynamically adapted based on changes to the user's context. OWL-S ontology is used to describe the dynamic aspects of the Petri net models, especially real-time composition of models. Simulation results validate the approach of dynamically modeling user-system interaction through mutation of Petri net models.