Theoretical Analysis of SEInR Spreading Model on P2P Specific Information

Improvement of the current SEIR spreading dynamics model is studied and a SEInR spreading dynamics model is established,since the existing spreading dynamics model can not accurately describe P2P file spreading process.The formula of basic reproductive number is established based on the SEInR model dynamics equations.No-disease equilibrium point and disease equilibrium point of the spreading model are studied,and detailed analysis and provability are given to the existence and stability of these equilibrium points.Simulation analysis of each parameter variation in the model is performed.The simulation results show that the improved SEInR model can simulate P2P file spreading process more accurately,and that the influencing factors during the spreading of P2P file can also be accurately described by parameters in the model.