In this paper, a stochastic network based information propagation model is developed. The model describes the information flow in interconnected networks with arbitrary degree distribution. Network connections propagate the information according to independent Poisson processes. A probabilistic differential equation system is derived and solved numerically for the expected reception times. By solving the differential equation system numerically, we can determine: - the expected number of informed nodes as a function time, - the degree distribution of the set of informed nodes at every specific instant - and the relationship between the node degree and its reception time. The validity of the results is justified by a network simulation. The characteristics of the information propagation were analyzed in scale-free and Erd\H os--R\'enyi networks.
In this paper, a network based stochastic information propagation model is developed. Information flow is modeled by a probabilistic differential equation system . The numerical solution of these equations leads to the expected number of informed nodes as a function of time and reveals the relationship between the degrees of the nodes and their reception time. The validity and accuracy of the model are justified by Monte Carlo network simulations through the analysis of information propagation in scale-free and Erdos--Renyi networks.
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stochastic network based
network based stochastic
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The model describes the information flow in interconnected networks with arbitrary degree distribution. Network connections propagate the information according to independent Poisson processes. A
Information flow is modeled by a
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is derived and solved numerically for the expected reception times. By solving the differential equation system numerically, we can determine: - the
. The numerical solution of these equations leads to the
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time, - the degree distribution of the set of informed nodes at every specific instant - and
of time and reveals
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node degree and its
degrees of the nodes and their
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of the results is justified by a network simulation. The characteristics of the information propagation were analyzed
and accuracy of the model are justified by Monte Carlo network simulations through the analysis of information propagation
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Erd\H os--R\'enyi
Erdos--Renyi