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The simultaneous emergence of several abrupt disease outbreaks or theextinction of some serotypes of multi-strain diseases are fingerprints of theinteraction between pathogens spreading within the same population. Here, wepropose a general and versatile benchmark to address the unfolding of bothcooperative and competitive interacting diseases. We characterize the explosivetransitions between the disease-free and the epidemic regimes arising from thecooperation between pathogens, and show the critical degree of cooperationneeded for the onset of such abrupt transitions. For the competing diseases, wecharacterize the mutually exclusive case and derive analytically the transitionpoint between the full-dominance phase, in which only one pathogen propagates,and the coexistence regime. Finally, we use this framework to analyze thebehavior of the former transition point as the competition between pathogens isrelaxed.

Markovian approach to tackle the interaction of simultaneous diseases