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Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
Outbreaks in susceptible-infected-removed epidemics with multiple seeds
| Title: | Outbreaks in susceptible-infected-removed epidemics with multiple seeds |
| Authors: | Hasegawa, Takehisa Browse this author | | Nemoto, Koji Browse this author |
| Issue Date: | 31-Mar-2016 |
| Publisher: | American Physical Society (APS) |
| Journal Title: | Physical review e |
| Volume: | 93 |
| Issue: | 3 |
| Start Page: | 032324 |
| Publisher DOI: | 10.1103/PhysRevE.93.032324 |
| PMID: | 27078383 |
| Abstract: | We study a susceptible-infected-removed (SIR) model with multiple seeds on a regular random graph. Many researchers have studied the epidemic threshold of epidemic models above which a global outbreak can occur, starting from an infinitesimal fraction of seeds. However, there have been few studies of epidemic models with finite fractions of seeds. The aim of this paper is to clarify what happens in phase transitions in such cases. The SIR model in networks exhibits two percolation transitions. We derive the percolation transition points for the SIR model with multiple seeds to show that as the infection rate increases epidemic clusters generated from each seed percolate before a single seed can induce a global outbreak. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/61497 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 根本 幸児
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