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
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 3.621
RIV identification code
RIV/47813059:19610/20:A0000078
Organization unit
Mathematical Institute in Opava
UT WoS
000552817300002
EID Scopus
2-s2.0-85087954595
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.
Changed: 6/4/2021 13:52, Mgr. Aleš Ryšavý
Abstract
In the original language
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.