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Non-Markovian Epidemic Spreading on Complex Networks
https://doi.org/10.15102/0002001059
https://doi.org/10.15102/0002001059bbc7f91f-037b-43d1-bd77-6a82bbdd3ce9
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CureSamuelCyrusFulltext.pdf (13.1 MB)
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CureSamuelCyrusExamAbstract.pdf (64 KB)
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| Item type | 学位論文 / Thesis or Dissertation(1) | |||||||
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| PubDate | 2025-12-26 | |||||||
| Title | ||||||||
| Title | 複雑ネットワーク上における非マルコフ的感染症伝播 | |||||||
| Language | ja | |||||||
| Title | ||||||||
| Title | Non-Markovian Epidemic Spreading on Complex Networks | |||||||
| Language | en | |||||||
| Language | ||||||||
| Language | eng | |||||||
| Keyword | ||||||||
| Subject Scheme | Other | |||||||
| Subject | Theoretical epidemiology | network theory | epidemic spreading on complex networks (theory and simulations) | |||||||
| Resource Type | ||||||||
| Resource Type Identifier | http://purl.org/coar/resource_type/c_db06 | |||||||
| Resource Type | doctoral thesis | |||||||
| Identifier Registration | ||||||||
| Identifier Registration | 10.15102/0002001059 | |||||||
| Identifier Registration Type | JaLC | |||||||
| Access Right | ||||||||
| Access Rights | open access | |||||||
| Access Rights URI | http://purl.org/coar/access_right/c_abf2 | |||||||
| Author |
Cure, Samuel Cyrus
× Cure, Samuel Cyrus
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| Abstract | ||||||||
| Description Type | Abstract | |||||||
| Description | In this thesis, we investigate the rate at which an epidemic propagates through a random, complex network. Traditional epidemiology associates a pathogen’s infectiousness and basic reproduction number with the epidemic’s spreading rate but typically assumes homogeneous mixing, thereby neglecting the underlying network structure. Conversely, network theory accounts for structural complexity but often relies on Markovian assumptions with constant spreading rates. In practice, the infectiousness of an individual varies over time, depending on when the infection was contracted. To reconcile these perspectives, we develop a framework that accurately describes the exponential spreading rate of an epidemic in a network under realistic, time-dependent infectiousness. We find an expression for the reproduction number that incorporates key features of a network: degree distribution, assortativity, and clustering. We then connect this network-based reproduction number and the pathogen’s infectiousness profile to the spreading rate of the epidemic. Furthermore, we propose a computationally efficient and exact method to simulate epidemics with arbitrary infectiousness on large networks, surpassing alternative approaches. We extend this method to networks whose structure varies over time and provide a user-friendly software implementation for practical use. | |||||||
| Language | en | |||||||
| Exam Date | ||||||||
| 2025-09-17 | ||||||||
| Degree Conferral Date | ||||||||
| Date Granted | 2025-11-30 | |||||||
| Degree | ||||||||
| Degree Name | Doctor of Philosophy | |||||||
| Degree Referral Number | ||||||||
| Dissertation Number | 甲第214号 | |||||||
| Degree Conferrral Institution | ||||||||
| Degree Grantor Name Identifier Scheme | kakenhi | |||||||
| Degree Grantor Name Identifier | 38005 | |||||||
| Degree Grantor Name | Okinawa Institute of Science and Technology Graduate University | |||||||
| Version Format | ||||||||
| Version Type | VoR | |||||||
| Version Type Resource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||
| Copyright Information | ||||||||
| Rights | © 2025 The Author. | |||||||
| Copyright Information | ||||||||
| Rights Resource | https://creativecommons.org/licenses/by-nc/4.0/ | |||||||
| Rights | Creative Commons Attribution-NonCommercial 4.0 International | |||||||
