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Journal of Dynamical and Control Systems
Erschienen in: Journal of Dynamical and Control Systems 1/2021

19.04.2020

Front-like Entire Solutions for a Lotka-Volterra Weak Competition System with Nonlocal Dispersal

verfasst von: Qian Zhang, Guo-Bao Zhang

Erschienen in: Journal of Dynamical and Control Systems | Ausgabe 1/2021

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Abstract

This paper is concerned with the front-like entire solutions for a Lotka-Volterra weak competition system with nonlocal dispersal. Here, an entire solution means a classical solution defined for all space and time variables. This system has traveling wavefronts and enjoys the comparison principle. Based on these traveling wavefronts, we construct some super- and sub-solutions. Then, by using the comparison principle and the super- and sub-solutions method, we establish the existence of front-like entire solutions which behave as two wavefronts coming from the both sides of x-axis. Moreover, some properties of the front-like entire solutions are obtained.
Vorheriger Artikel Smooth Invariant Manifolds for Differential Equations with Infinite Delay
Nächster Artikel Optimal Distributed Control for a Model of Homogeneous Incompressible Two-Phase Flows

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Metadaten
Titel
Front-like Entire Solutions for a Lotka-Volterra Weak Competition System with Nonlocal Dispersal
verfasst von
Qian Zhang
Guo-Bao Zhang
Publikationsdatum
19.04.2020
Verlag
Springer US
Erschienen in
Journal of Dynamical and Control Systems / Ausgabe 1/2021
Print ISSN: 1079-2724
Elektronische ISSN: 1573-8698
DOI
https://doi.org/10.1007/s10883-020-09487-1

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