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Mathematical analysis of topological and random m-order spread models |
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| Author: | Ban, Jung-Chao1,2; Hong, Jyy-I1; Wu, Yu-Liang3 |
| Organizations: |
1Department of Mathematical Sciences, National Chengchi University, Taipei, 11605, Taiwan, ROC 2Mathematics Division, National Center for Theoretical Science, National Taiwan University, Taipei, 10617, Taiwan, ROC 3Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014, Oulu, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | embargoed |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2023022027748 |
| Language: | English |
| Published: |
Springer Nature,
2023
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| Publish Date: | 2024-02-02 |
| Description: |
AbstractThis paper focuses on the analysis of two particular models, from deterministic and random perspective respectively, for spreading processes. With a proper encoding of propagation patterns, the spread rate of each pattern is discussed for both models by virtue of the substitution dynamical systems and branching process. In view of this, we are empowered to draw a comparison between two spreading processes according to their spreading models, based on which explanations are proposed on a higher frequency of a pattern in one model than the other. These results are then supported by the numerical evidence later in the article. see all
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| Series: |
Journal of mathematical biology |
| ISSN: | 0303-6812 |
| ISSN-E: | 1432-1416 |
| ISSN-L: | 0303-6812 |
| Volume: | 86 |
| Issue: | 40 |
| Pages: | 1 - 43 |
| DOI: | 10.1007/s00285-023-01874-z |
| OADOI: | https://oadoi.org/10.1007/s00285-023-01874-z |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Funding: |
This work was supported by the Ministry of Science and Technology, ROC [Grant numbers MOST 109-2115-M-004-002-MY2, MOST 109-2115-M-004 -001 -MY2]. |
| Copyright information: |
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023. This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00285-023-01874-z |