Two-pathogen model with competition on clustered networks
Abstract
Networks provide a mathematically rich framework to represent social contacts sufficient for the transmission of disease. Social networks are often highly clustered and fail to be locally tree-like. In this paper, we study the effects of clustering on the spread of sequential strains of a pathogen using the generating function formulation under a complete cross-immunity coupling, deriving conditions for the threshold of coexistence of the second strain. We show that clustering reduces the coexistence threshold of the second strain and its outbreak size in Poisson networks, whilst exhibiting the opposite effects on uniform-degree models. We conclude that clustering within a population must increase the ability of the second wave of an epidemic to spread over a network. We apply our model to the study of multilayer clustered networks and observe the fracturing of the residual graph at two distinct transmissibilities.
Citation
Mann , P S , Smith , V A , Mitchell , J B O & Dobson , S A 2021 , ' Two-pathogen model with competition on clustered networks ' , Physical Review. E, Statistical, nonlinear, and soft matter physics , vol. 103 , no. 6 , 062308 . https://doi.org/10.1103/PhysRevE.103.062308
Publication
Physical Review. E, Statistical, nonlinear, and soft matter physics
Status
Peer reviewed
ISSN
1539-3755Type
Journal article
Collections
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