Epidemic spreading and immunization strategy in multiplex networks

[摘要] A more connected world has brought major consequences such as facilitate the spread of diseases all over the world to quickly become epidemics, reason why researchers are concentrated in modeling the propagation of epidemics and outbreaks in multilayer networks. In this networks all nodes interact in different layers with different type of links. However, in many scenarios such as in the society, a multiplex network framework is not completely suitable since not all individuals participate in all layers. In this paper, we use a partially overlapped, multiplex network where only a fraction of the individuals are shared by the layers. We develop a mitigation strategy for stopping a disease propagation, considering the Susceptible-Infected- Recover model, in a system consisted by two layers. We consider a random immunization in one of the layers and study the effect of the overlapping fraction in both, the propagation of the disease and the immunization strategy. Using branching theory, we study this scenario theoretically and via simulations and find a lower epidemic threshold than in the case without strategy.

[发布机构] Instituto de Investigaciones Fisicas de Mar Del Plata, UNMdP-CONICET, Departamento de Fisica FCEyN, Universidad Nacional de Mar Del Plata, Funes, Mar del Plata; 3350 (7600), Argentina^1;Center for Polymer Studies, Boston University, Boston; MA; 02215, United States^2

[效力级别] 计算机科学 [学科分类] 计算机科学（综合）

[关键词] Different layers;Disease propagation;Epidemic spreading;Epidemic threshold;Mitigation strategy;Multi-layer network;Multiplex networks;Spread of disease