J 2020

On the Geometric Diversity of Wavefronts for the Scalar Kolmogorov Ecological Equation

HASÍK, Karel, Jana KOPFOVÁ, Petra NÁBĚLKOVÁ and Sergei TROFIMCHUK

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

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:

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

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.
Displayed: 24/12/2024 04:00