Rumours, epidemics, and processes of mass action: synthesis and analysis

Authors:
R. E. Dickinson;C. E. M. Pearce
Affiliations:
Applied Mathematics Department Adelaide University Adelaide SA 5005, Australia and Communications Division DSTO, P.O. Box 1500 Edinburgh 5111, Australia;Applied Mathematics Department Adelaide University Adelaide SA 5005, Australia
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2003

Citing 1
Cited 1

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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.