A Re-entrant Phase Transition in the Survival of Secondary Infections on Networks
Sam Moore1, Peter Mörters2, Tim Rogers1
11University of Bath, Claverton Down, Bath, BA2 7AY UK.
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.
More Related Videos
Related Concept Videos
Phase Transitions
Phase Transitions: Vaporization and Condensation
Phase Transitions: Sublimation and Deposition
Phase Transitions: Melting and Freezing
Phase Diagrams
Properties of Transition Metals


