报告题目: Localized-endemic state transition in the SIS model on networks        

报告人：魏宗文，深圳大学计算机软件学院博士后  

时  间：       6月9日 (本周五)15:50-16:20        

地   点：A107教室  

报告摘要：It is a longstanding debate concerning the absence of threshold for the susceptible-infected-susceptible spreading model on networks with localized state. The key to resolve this controversy is the dynamical interaction pattern, which has not been uncovered. Here we show that the interaction driving the localized-endemic state transition is not the global interaction between a node and all the other nodes on the network, but exists at the level of super node composed of highly connected node and its neighbors. The internal interactions within a super node induce localized state with limited lifetime, while the interactions between neighboring super nodes via a path of two hops enable them to avoid trapping in the absorbing state, marking the onset of endemic state. The hybrid interactions render highly connected nodes exponentially increasing infection density, which truly account for the null threshold. These results are crucial for correctly understanding diverse recurrent contagion phenomena.

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数学与计算科学学院