Speed determinacy of travelling waves for a three-component lattice Lotka-Volterra competition system

In this paper, the invasive speed selection of the monostable travelling wave for a three-component lattice Lotka-Volterra competition system is studied via the upper and lower solution method, as well as the comparison principle. By constructing several special upper and lower solutions, we establi...

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Bibliographic Details
Published in:Journal of biological dynamics 2022-12, Vol.16 (1), p.340-353
Main Authors: Tang, Y., Pan, C., Wang, H., Ouyang, Z.
Format: Article
Language:English
Subjects:
Acceleration
Competition
Dynamical systems
invasion speed
Lattice Lotka-Volterra system
Models, Biological
Primary 35K57
speed selection
three species
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Summary:In this paper, the invasive speed selection of the monostable travelling wave for a three-component lattice Lotka-Volterra competition system is studied via the upper and lower solution method, as well as the comparison principle. By constructing several special upper and lower solutions, we establish sufficient conditions such that the linear or nonlinear selection is realized.
ISSN:1751-3758
1751-3766
DOI:10.1080/17513758.2021.1958934