Igor Tomovski, Igor Trpevski, Ljupčo Kocarev


A b s t r a c t: Following our recent work on the topology independent SIS spreading model [25, 26], in this article we analyze a SIRS type of a spreading processes, taking place on complex networks characterized by a special form of contact dynamics, for which we use the term "acquisition exclusivity". We show that, identically as for the SIS type process, for the studied set-up, in circumstances where statistical independence of joint events may be assumed, analytical solution for the probabilities that each node is in a certain status in stationary regime may be found. Furthermore, the obtained results indicate that the SIRS process, under the analyzed circumstances is topology independent.


complex networks; SIRS process; nonlinear systems

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