EPIDEMIC SPREADING IN GEOMETRIC NETWORK WITH MOBILE AGENTS

In recent time, an infectious disease spreads by making the contact with the infected agent in a population. This contact may be affected by the movement of the infected agents in any geographical region. Most of the studies are done by considering underlying static network topology. The movement of agents is important to consider the underlying network topology, which in this work is assumed random. Therefore, a new model is desired to analyze the spreading behavior of infected disease due to the random movement of infected agents. In this paper, we propose a geometric network with mobile agents by considering the random movement of some fraction of the nodes, while remaining nodes are stationary. Dynamics of epidemic spreading is studied using the SIS and SIR models. A rest time t(rest) of an agent is introduced during its movement, and its effect on the epidemic is studied. We simulate the modified epidemic model on underlying network topologies of the geometric network with mobile agents. It represents the real-world scenario, where agents constantly create new connections with their movements in their regions. We also evaluate our model using real dataset from Brightkite. The simulation results are in accordance with our theoretical findings which show that the random geometry of the agents, as well as the t(rest), affect dynamics of epidemic spreading. The simulation on the dataset also shows the effectiveness of our proposed framework.