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Rumours, epidemics, and processes of mass action: Synthesis and analysis. (English) Zbl 1048.60083
Authors’ abstract: While rumours and epidemics are popularly regarded as similar, it has long been known that there are important differences between the mathematical models for them. We show that both, along with a type of two-rumour model, can be subsumed under a general class of transient processes whose time-dependent evolution can be characterized exactly.

MSC:
60K99Special processes
92D30Epidemiology
60J27Continuous-time Markov processes on discrete state spaces
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References:
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