Detailed Information on Publication Record
2020
On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation
HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ and Sergei TROFIMCHUKBasic information
Original name
On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation
Authors
HASÍK, Karel (203 Czech Republic, belonging to the institution), Jana KOPFOVÁ (703 Slovakia, belonging to the institution), Petra NÁBĚLKOVÁ (203 Czech Republic, belonging to the institution) and Sergei TROFIMCHUK (804 Ukraine, guarantor)
Edition
Journal of Nonlinear Science, New York, SPRINGER, 2020, 0938-8974
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
RIV identification code
RIV/47813059:19610/20:A0000078
Organization unit
Mathematical Institute in Opava
UT WoS
000552817300002
Keywords in English
Non-local equation; Nonlinear determinacy; Delay; Wavefront; Existence; Uniqueness
Tags
Tags
International impact, Reviewed
Links
EF16_027/0008521, research and development project.
Změněno: 6/4/2021 13:52, Mgr. Aleš Ryšavý
Abstract
V originále
We answer three fundamental questions concerning monostable traveling fronts for the scalar Kolmogorov ecological equation with diffusion and spatiotemporal interaction: These are the questions about their existence, uniqueness and geometric shape. In the particular case of the food-limited model, we give a rigorous proof of the existence of a peculiar, yet substantive and nonlinearly determined class of non-monotone and non-oscillating wavefronts.