Finding an infection source under the SIS model

We consider the problem of identifying an infection source based only on an observed set of infected nodes in a network, assuming that the infection process follows a Susceptible-Infected-Susceptible (SIS) model. We derive an estimator based on estimating the most likely infection source associated with the most likely infection path. Simulation results on regular trees suggest that our estimator performs consistently better than the minimum distance centrality based heuristic.

[1]  H. Hethcote Qualitative analyses of communicable disease models , 1976 .

[2]  L. Allen Some discrete-time SI, SIR, and SIS epidemic models. , 1994, Mathematical biosciences.

[3]  M. Newman,et al.  Epidemics and percolation in small-world networks. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  M. Newman Spread of epidemic disease on networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Philip D O'Neill,et al.  A tutorial introduction to Bayesian inference for stochastic epidemic models using Markov chain Monte Carlo methods. , 2002, Mathematical biosciences.

[6]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[7]  Donald F. Towsley,et al.  The effect of network topology on the spread of epidemics , 2005, Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies..

[8]  Krishna P. Gummadi,et al.  Measuring User Influence in Twitter: The Million Follower Fallacy , 2010, ICWSM.

[9]  Devavrat Shah,et al.  Rumors in a Network: Who's the Culprit? , 2009, IEEE Transactions on Information Theory.

[10]  Masahiro Kimura,et al.  Efficient discovery of influential nodes for SIS models in social networks , 2011, Knowledge and Information Systems.

[11]  Wuqiong Luo,et al.  Identifying infection sources in large tree networks , 2012, 2012 9th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks (SECON).

[12]  Lei Ying,et al.  Information source detection in the SIR model: A sample path based approach , 2013, ITA.

[13]  Wuqiong Luo,et al.  Identifying Infection Sources and Regions in Large Networks , 2012, IEEE Transactions on Signal Processing.