Existence and stability of non-monotone travelling wave solutions for the diffusive Lotka–Volterra system of three competing species-Reference-Cited by-同舟云学术

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Existence and stability of non-monotone travelling wave solutions for the diffusive Lotka–Volterra system of three competing species

Published:2020-08-24 Issue:10 Volume:33 Page:5080-5110
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Chang Chueh-Hsin,Chen Chiun-Chuan,Hung Li-Chang,Mimura Masayasu,Ogawa Toshiyuki

Funder

Ministry of Science and Technology, Taiwan

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1361-6544/ab9244/pdf

Reference49 articles.

1. A topological invariant arising in the stability analysis of travelling waves.

2. The principal eigenvalue and maximum principle for second-order elliptic operators in general domains

3. Can a Species Keep Pace with a Shifting Climate?

4. Nonexistence of traveling wave solutions, exact and semi-exact traveling wave solutions for diffusive Lotka-Volterra systems of three competing species

5. Semi--exact equilibrium solutions for three-species competition--diffusion systems

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1. Boundedness and stabilization in a three-species chemotaxis-competition system;Journal of Mathematical Analysis and Applications;2024-06

2. Stability and co-existence state traveling wave solution for a general N-dimensional diffusive delayed Lotka-Volterra equation in a cylinder;IMA Journal of Mathematical Control and Information;2024-03-29

3. On the invading speeds for a diffusive three-species competition system;Journal of Mathematical Analysis and Applications;2023-10

4. Traveling wave solutions for three-species nonlocal competitive-cooperative systems;Electronic Journal of Differential Equations;2023-09-04

5. Bifurcation of co-existing traveling wave solutions in a three-component competition–diffusion system;Physica D: Nonlinear Phenomena;2023-06

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