Abstract
Following the nonlinear dynamical system (NLDS) approach, we model and analyze a SIS type of spreading process on complex networks. The model is characterized by a special form of contact dynamics for which the term “acquisition exclusivity” is being used. Assuming statistical independence of joint events in the analysis, which is a valid approximation under several constrains, an analytic solution is obtained for the probabilities that network nodes are infected at an in time. Furthermore this solution is topologically independent. It is argued that there are two reasons why the studied setting should be considered valid from an engineering viewpoint. First, the studied process (under certain constrains) may be used as mechanism for controlled spreading of useful content in a network. Second, the SIS spreading process is characterized by high epidemic threshold. Therefore “acquisition exclusivity” should be considered as a mechanism for eradication of viral infections from networks.
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Acknowledgments
We thank ONR Global (grant N62909-10-1-7074) and Macedonian Ministry of Education and Science (grant Annotated graphs in System Biology) for partial support [17].
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Tomovski, I., Trpevski, I., Kocarev, L. (2014). Topology Independent SIS Process: Theory and Application. In: In, V., Palacios, A., Longhini, P. (eds) International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012). Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-02925-2_28
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DOI: https://doi.org/10.1007/978-3-319-02925-2_28
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