Markovian approach to tackle the interaction of simultaneous diseases

D. Soriano-Paños, F. Ghanbarnejad, S. Meloni, and J. Gómez-Gardeñes
Phys. Rev. E 100, 062308 – Published 19 December 2019

Abstract

The simultaneous emergence of several abrupt disease outbreaks or the extinction of some serotypes of multistrain 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.

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  • Received 10 July 2019

DOI:https://doi.org/10.1103/PhysRevE.100.062308

©2019 American Physical Society

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Authors & Affiliations

D. Soriano-Paños1,2, F. Ghanbarnejad3,4,5, S. Meloni6, and J. Gómez-Gardeñes1,2,*

  • 1GOTHAM Laboratory, Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, 50018 Zaragoza, Spain
  • 2Departamento de Física de la Materia Condensada, Universidad de Zaragoza, 50009 Zaragoza, Spain
  • 3Institute of Theoretical Physics, Technical University of Berlin, Hardenbergstr. 36, Sekr. EW 7-1 D-10623 Berlin
  • 4Quantitative Life Sciences (QLS), The Abdus Salam International Centre for Theoretical Physics (ICTP), 34151 Trieste, Italy
  • 5Department of Physics, Sharif University of Technology, P.O. Box 11165-9161, Tehran, Iran
  • 6IFISC, Instituto de Física Interdisciplinar y Sistemas Complejos (CSIC-UIB), 07122 Palma de Mallorca, Spain

  • *gardenes@unizar.es

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Issue

Vol. 100, Iss. 6 — December 2019

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