Spatial Super-Infection and Co-Infection Dynamics in Networks

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Hauptverfasser: Yu, Alyssa, Schaposnik, Laura P.
Format: Preprint
Veröffentlicht: 2025
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author Yu, Alyssa
Schaposnik, Laura P.
author_facet Yu, Alyssa
Schaposnik, Laura P.
contents Understanding interactions between the spread of multiple pathogens during an epidemic is crucial to assessing the severity of infections in human communities. In this paper, we introduce two new Multiplex Bi-Virus Reaction-Diffusion models (MBRD) on multiplex metapopulation networks: the super-infection model (MBRD-SI) and the co-infection model (MBRD-CI). These frameworks capture two-pathogen dynamics with spatial diffusion and cross-diffusion, allowing the prediction of infection clustering and large-scale spatial distributions. We establish conditions for Turing and Turing-Hopf instabilities in both models and provide experimental evidence of epidemic pattern formation. Beyond epidemiology, we discuss applications of the MBRD framework to information propagation, malware diffusion, and urban transportation networks.
format Preprint
id arxiv_https___arxiv_org_abs_2508_15740
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spatial Super-Infection and Co-Infection Dynamics in Networks
Yu, Alyssa
Schaposnik, Laura P.
Physics and Society
Adaptation and Self-Organizing Systems
Pattern Formation and Solitons
Populations and Evolution
Understanding interactions between the spread of multiple pathogens during an epidemic is crucial to assessing the severity of infections in human communities. In this paper, we introduce two new Multiplex Bi-Virus Reaction-Diffusion models (MBRD) on multiplex metapopulation networks: the super-infection model (MBRD-SI) and the co-infection model (MBRD-CI). These frameworks capture two-pathogen dynamics with spatial diffusion and cross-diffusion, allowing the prediction of infection clustering and large-scale spatial distributions. We establish conditions for Turing and Turing-Hopf instabilities in both models and provide experimental evidence of epidemic pattern formation. Beyond epidemiology, we discuss applications of the MBRD framework to information propagation, malware diffusion, and urban transportation networks.
title Spatial Super-Infection and Co-Infection Dynamics in Networks
topic Physics and Society
Adaptation and Self-Organizing Systems
Pattern Formation and Solitons
Populations and Evolution
url https://arxiv.org/abs/2508.15740