| Title | TOPOLOGY INDEPENDENT SIRS PROCESS |
| Author/s | Igor Tomovski, Igor Trpevski, Ljupčo Kocarev |
| Citation | I. Tomovski, I. Trpevski and Lj. Kocarev, "TOPOLOGY INDEPENDENT SIRS PROCESS", Contributions, Sec. Math. Tech. Sci., MASA, ISSN 0351–3246, Vol. 33, no.1-2, 2012, pp.7-22. |
| Abstract | 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. |
| Keywords | complex networks; SIRS process; nonlinear systems |
