HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ and Sergei TROFIMCHUK. On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation. Journal of Nonlinear Science. New York: SPRINGER, 2020, vol. 30, No 6, p. 2989-3026. ISSN 0938-8974. Available from: https://dx.doi.org/10.1007/s00332-020-09642-9.
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Basic 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
Original 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
WWW Journal of Nonlinear Science
RIV identification code RIV/47813059:19610/20:A0000078
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.1007/s00332-020-09642-9
UT WoS 000552817300002
Keywords in English Non-local equation; Nonlinear determinacy; Delay; Wavefront; Existence; Uniqueness
Tags MÚ
Tags International impact, Reviewed
Links EF16_027/0008521, research and development project.
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 13:52.
Abstract
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.
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