Almost periodic traveling waves in a lattice Lotka–Volterra system

This paper mainly focuses on the stability, uniqueness, the phenomena of propagation failure and spatial chaos to traveling waves with almost periodicity in a Lotka-Volterra system in one-dimensional Lattice, which not only generalizes the conclusions about (periodic) traveling waves in the Lotka-Volterra system for one-dimensional continuous (or Lattice) space, but extend the consequences about traveling waves with almost periodicity from the Lattice scalar models to systems.

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Publication Details

Journal
Journal of Mathematical Physics
Published
2025-12-01
DOI
https://doi.org/10.1063/5.0294607
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
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article

Almost periodic traveling waves in a lattice Lotka–Volterra system

Yongkun Li, Lu Yang
Journal of Mathematical Physics
Mathematical and Theoretical Epidemiology and Ecology Models
article

Almost periodic traveling waves in a lattice Lotka–Volterra system

Yongkun Li, Lu Yang
article en

Abstract

This paper mainly focuses on the stability, uniqueness, the phenomena of propagation failure and spatial chaos to traveling waves with almost periodicity in a Lotka-Volterra system in one-dimensional Lattice, which not only generalizes the conclusions about (periodic) traveling waves in the Lotka-Volterra system for one-dimensional continuous (or Lattice) space, but extend the consequences about traveling waves with almost periodicity from the Lattice scalar models to systems.

Journal of Mathematical PhysicsVol. 66(12)
Yunnan University (CN)
Openalex Percentile: Top 52%
Mathematical and Theoretical Epidemiology and Ecology Models
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