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@article{78141,
author = {Hasík, Karel and Kopfová, Jana and Nábělková, Petra and Trofymchuk, Olena and Trofimchuk, Sergei},
article_location = {San DIego},
article_number = {december},
doi = {http://dx.doi.org/10.1016/j.jde.2023.08.013},
keywords = {Nonlocal delay; Wavefront; Reaction-diffusion; Belousov-Zhabotinsky reaction},
language = {eng},
issn = {0022-0396},
journal = {Journal of Differential Equations},
title = {Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction},
url = {https://www.sciencedirect.com/science/article/pii/S0022039623005478?via%3Dihub},
volume = {376},
year = {2023}
}
TY - JOUR
ID - 78141
AU - Hasík, Karel - Kopfová, Jana - Nábělková, Petra - Trofymchuk, Olena - Trofimchuk, Sergei
PY - 2023
TI - Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction
JF - Journal of Differential Equations
VL - 376
IS - december
SP - 102-125
EP - 102-125
PB - Academic Press Inc. Elsevier Science
SN - 00220396
KW - Nonlocal delay
KW - Wavefront
KW - Reaction-diffusion
KW - Belousov-Zhabotinsky reaction
UR - https://www.sciencedirect.com/science/article/pii/S0022039623005478?via%3Dihub
N2 - We prove the existence of the minimal speed of propagation c(*)(r, b, K) is an element of [2 root 1 - r, 2] for wavefronts in the Belousov-Zhabotinsky system with a spatiotemporal interaction defined by the convolution with (possibly, "fat-tailed") kernel K. The model is assumed to be monostable non-degenerate, i.e. r is an element of (0, 1). The slowest wavefront is termed pushed or nonlinearly determined if its velocity c(*)(r, b, K) > 2 root/1 - r. We show that c(*)(r, b, K) is close to 2 if i) positive system's parameter b is sufficiently large or ii) K is spatially asymmetric to one side (e.g. to the left: in such a case, the influence of the right side concentration of the bromide ion on the dynamics is more significant than the influence of the left side). Consequently, this reveals two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky reaction
ER -
HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ, Olena TROFYMCHUK and Sergei TROFIMCHUK. Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction. \textit{Journal of Differential Equations}. San DIego: Academic Press Inc. Elsevier Science, 2023, vol.~376, december, p.~102-125. ISSN~0022-0396. Available from: https://dx.doi.org/10.1016/j.jde.2023.08.013.
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