Spread rates of spread models with frozen symbols
|Author:||Ban, Jung-Chao1; Hong, Jyy-I1; Wu, Yu-Liang2|
1Department of Mathematical Sciences, National Chengchi University, Taipei 11605, Taiwan, ROC
2Department of Mathematical Sciences, P.O. Box 3000, 90014 University of Oulu, Finland
|Online Access:||PDF Full Text (PDF, 4.2 MB)|
|Persistent link:|| http://urn.fi/urn:nbn:fi-fe202301112364
American Institute of Physics,
|Publish Date:|| 2023-01-11
This article aims to compare the long-term behavior of a spread model before and after a type in the model becomes frozen, namely, a type of which an individual only produces individuals of the same type. By means of substitution dynamical systems and matrix analysis, the first result of this work gives the spread rates of a 1-spread model with one frozen symbol. Later, in the work, this is shown to hold under more general settings, which include generalized frozen symbols and frozen symbols in 𝑚-spread models. Numerical experiments are provided as supporting evidence for the theory.
|Type of Publication:||
A1 Journal article – refereed
|Field of Science:||
This work was supported by the Ministry of Science and Technology, Taiwan (Grant Nos. MOST 109-2115-M-004-002-MY2 and MOST 109-2115-M-004-001-MY2).
© AIP publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Jung-Chao Ban, Jyy-I Hong, and Yu-Liang Wu, "Spread rates of spread models with frozen symbols", Chaos 32, 103113 (2022) and may be found at https://doi.org/10.1063/5.0106230.