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Direct, physically motivated derivation of the contagion condition for spreading processes on generalized random
Peter Sheridan Dodds1, Kameron Decker Harris, Joshua L Payne
1Department of Mathematics and Statistics, The University of Vermont, Burlington, Vermont 05401, USA. peter.dodds@uvm.edu
Abstract:
For a broad range of single-seed contagion processes acting on generalized random networks, we derive a unifying analytic expression for the possibility of global spreading events in a straightforward, physically intuitive fashion. Our reasoning lays bare a direct mechanical understanding of an archetypal spreading phenomena that is not evident in circuitous extant mathematical approaches.
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