第六届全国复杂网络会议基于元胞自动机的适应网络病毒传播研究
NJUPT 基于元胞自动机的适应 网络病毒传播研究 宋玉蓉 蒋国平 徐加刚 第六届全国复杂网络会议
内容问题背景模型分析仿真分析结论
内容 结论 仿真分析 模型分析 问题背景
Humans tendtorespondtotheemergence of an epidemicbyavoiding contacts with infected individuals. Such rewiring ofthe local connections can have a strong effect on the dynamicsof the disease, which in turn influences the rewiring process.Thus, a complicated mutual interaction between a time varyingnetwork topology and the dynamics of the nodes emerges. [1]：网络拓扑会依赖节点病毒传播动力学而进行适应性调整网络拓扑的这种改变和调整反过来文对病毒传播产生影响。体现出这样一种节点动力学（以节点作为一个动力学系统）和网络动力学（以网络拓扑作为一个动力学系统）相互反馈的网络被称为适应网络（AdaptiveNetworks）[1] GrossT,D'limaCJD,BlasiusB.Epidemicdynamicsonanadaptivenetwork[J]PhysicalReviewLetters,2006,96(20):
问题背景—什么是适应网络 ❖ Humans tend to respond to the emergence of an epidemic by avoiding contacts with infected individuals. Such rewiring of the local connections can have a strong effect on the dynamics of the disease, which in turn influences the rewiring process. Thus, a complicated mutual interaction between a time varying network topology and the dynamics of the nodes emerges. [1] ❖ 网络拓扑会依赖节点病毒传播动力学而进行适应性调整， 网络拓扑的这种改变和调整反过来又对病毒传播产生影响。 体现出这样一种节点动力学（以节点作为一个动力学系统） 和网络动力学（以网络拓扑作为一个动力学系统）相互反 馈的网络被称为适应网络（Adaptive Networks） [1] Gross T, D'lima C J D, Blasius B. Epidemic dynamics on an adaptive network [J]. Physical Review Letters, 2006, 96 (20):
StateDeterminesAffectsQ0:°-&-LocalTopologicalEvolutionDynamicsDeterminesAffectsTopologyGross T,Blasius B.Adaptive coevolutionarynetworks:a review.Journal of theRoyalSocietylnterface2008;5(20):259
Gross T, Blasius B. Adaptive coevolutionary networks: a review. Journal of the Royal Society Interface 2008;5(20):259
*Gross等[1]提出适应网络中的SIS模型，Shaw等[2]提出适应网络中的SIRS模型，这两个模型考虑网络中易感节点（S)会尽量避免和感染节点（接触，断开与I节点的连接而重新与其他S节点建立连接关系。Risau-Gusman[3|考虑断开连接后（1）S节点随机选择未知新邻居：：（2）I节点随机选择新邻居。[1]GrossT,D'limaCJD,BlasiusB.Epidemicdynamicsonanadaptivenetwork[J]PhysicalReviewLetters,2006,96(20)[2jShawLB,SchwartzIB.Fluctuatingepidemicsonadaptivenetworks[J].PhysicalReviewE,2008,77(6):066101[3]Risau-GusmanS,ZanetteDH.Contactswitchingasacontrolstrategyforepidemicoutbreaks.JournalofTheoreticalBiology2009;257(1):52-60
❖Gross等[1]提出适应网络中的SIS模型，Shaw等[2] 提出适应网络中的SIRS模型，这两个模型考虑网 络中易感节点（S)会尽量避免和感染节点(I)（接 触，断开与I节点的连接而重新与其他S节点建立 连接关系。 ❖Risau-Gusman[3]考虑断开连接后（1）S节点随机 选择未知新邻居；（2）I节点随机选择新邻居。 [1] Gross T, D'lima C J D, Blasius B. Epidemic dynamics on an adaptive network [J]. Physical Review Letters, 2006, 96 (20): [2]Shaw L B,Schwartz I B. Fluctuating epidemics on adaptive networks [J]. Physical Review E, 2008, 77 (6): 066101 [3] Risau-Gusman S, Zanette DH. Contact switching as a control strategy for epidemic outbreaks. Journal of Theoretical Biology 2009;257(1):52-60