University of Oulu

Ban, JC., Hong, JI. & Wu, YL. Mathematical analysis of topological and random m-order spread models. J. Math. Biol. 86, 40 (2023).

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:
Language: English
Published: Springer Nature, 2023
Publish Date: 2024-02-02


This 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.

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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
Type of Publication: A1 Journal article – refereed
Field of Science: 111 Mathematics
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: