Markovian approach to tackle the interaction of simultaneous diseases

Abstract

The simultaneous emergence of several abrupt disease outbreaks or the extinction of some serotypes of multi-strain diseases are fingerprints of the interaction between pathogens spreading within the same population. Here, we propose a general and versatile benchmark to address the unfolding of both cooperative and competitive interacting diseases. We characterize the explosive transitions between the disease-free and the epidemic regimes arising from the cooperation between pathogens, and show the critical degree of cooperation needed for the onset of such abrupt transitions. For the competing diseases, we characterize the mutually exclusive case and derive analytically the transition point between the full-dominance phase, in which only one pathogen propagates, and the coexistence regime. Finally, we use this framework to analyze the behavior of the former transition point as the competition between pathogens is relaxed.

arXiv comment9 pages, 5 figures, 64 refs

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Cited by in corpus (10)

• Simplicial contagion in temporal higher-order networks
• Virus spread versus contact tracing: two competing contagion processes
• Simplicially driven simple contagion
• Phase diagrams of interacting spreading dynamics in complex networks
• Interplay between competitive and cooperative interactions in a three-player pathogen system
• Complex social contagion induces bistability on multiplex networks
• Impact of temporal correlations on high risk outbreaks of independent and cooperative SIR dynamics
• Pathways to explosive transitions in interacting contagion dynamics
• Effects of measures on phase transitions in two cooperative susceptible-infectious-recovered dynamics
• One pathogen does not an epidemic make: A review of interacting contagions, diseases, beliefs, and stories