Dynamic Behavior of a New SEIRS Model on Complex Networks

This paper takes the condition that individuals in eclipse period could translate into infective individuals or recovered at a certain probability, and propose a new SEIRS model on the basis of normal SEIRS model. First of all, it analyzes the spread of the disease using the mean field theory and obtains a theoretical critical threshold. From analysis the global behavior of the model is entirely determined by this threshold. Afterwards, it validates the correctness of the theoretical results via some simulations. The experimental results show that the probability of eclipse nodes turning into recovered individuals has a significant impact on the critical threshold.