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arXiv · 1804.03570

A re-entrant phase transition in the survival of secondary infections on networks

Sam Moore·Peter Mörters·Tim Rogers
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Abstract

We study the dynamics of secondary infections on networks, in which only the individuals currently carrying a certain primary infection are susceptible to the secondary infection. In the limit of large sparse networks, the model is mapped to a branching process spreading in a random time-sensitive environment, determined by the dynamics of the underlying primary infection. When both epidemics follow the Susceptible-Infective-Recovered model, we show that in order to survive, it is necessary for the secondary infection to evolve on a timescale that is closely matched to that of the primary infection on which it depends.

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BibTeXRIS

Sam Moore, Peter Mörters, Tim Rogers. 2018-04-10. A re-entrant phase transition in the survival of secondary infections on networks. https://doi.org/10.1007/s10955-018-2050-9

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