Mathematical analysis of topological and random <em>m</em>-order spread models

Ban, Jung-Chao; Hong, Jyy-I; Wu, Yu-Liang (2023-02-02)
 
Avaa tiedosto
Lataukset: 

URL:
https://doi.org/10.1007/s00285-023-01874-z

Ban, Jung-Chao
Hong, Jyy-I
Wu, Yu-Liang
Springer Nature
02.02.2023

Ban, JC., Hong, JI. & Wu, YL. Mathematical analysis of topological and random m-order spread models. J. Math. Biol. 86, 40 (2023). https://doi.org/10.1007/s00285-023-01874-z

https://rightsstatements.org/vocab/InC/1.0/
© 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
https://rightsstatements.org/vocab/InC/1.0/
doi:https://doi.org/10.1007/s00285-023-01874-z
Näytä kaikki kuvailutiedot
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe2023022027748
Tiivistelmä

Abstract

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.

Kokoelmat