Multistability and High Codimension Bifurcations in Synergistic Epidemics on Heterogeneous Networks
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913931557076992 |
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| author | Perez-Reche, Francisco J. Taraskin, Sergei N. |
| author_facet | Perez-Reche, Francisco J. Taraskin, Sergei N. |
| contents | We investigate the impact of network heterogeneity on synergistic contagion dynamics. By extending a synergistic contagion model to diverse heterogeneous network topologies, we uncover the emergence of novel dynamical regimes characterized by multiple stable states, separated by a rich set of bifurcations reaching up to codimension 4. Additionally, we demonstrate how synergy fundamentally reshapes the influence of nodes based on their degree. Unlike in non-synergistic epidemics, low-degree nodes can play a pivotal role in enabling network invasion at the onset of spread, while high-degree nodes can trigger explosive contagion. These findings challenge conventional control strategies, highlighting the need for new approaches to enhance or suppress synergistic contagion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13293 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multistability and High Codimension Bifurcations in Synergistic Epidemics on Heterogeneous Networks Perez-Reche, Francisco J. Taraskin, Sergei N. Physics and Society We investigate the impact of network heterogeneity on synergistic contagion dynamics. By extending a synergistic contagion model to diverse heterogeneous network topologies, we uncover the emergence of novel dynamical regimes characterized by multiple stable states, separated by a rich set of bifurcations reaching up to codimension 4. Additionally, we demonstrate how synergy fundamentally reshapes the influence of nodes based on their degree. Unlike in non-synergistic epidemics, low-degree nodes can play a pivotal role in enabling network invasion at the onset of spread, while high-degree nodes can trigger explosive contagion. These findings challenge conventional control strategies, highlighting the need for new approaches to enhance or suppress synergistic contagion. |
| title | Multistability and High Codimension Bifurcations in Synergistic Epidemics on Heterogeneous Networks |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2504.13293 |