Multidimensional Stability of Planar Traveling Waves for Competitive–Cooperative Lotka–Volterra System of Three Species DOI Creative Commons
Na Shi, Xin Wu, Zhaohai Ma

et al.

Mathematics, Journal Year: 2025, Volume and Issue: 13(2), P. 197 - 197

Published: Jan. 9, 2025

We investigate the multidimensional stability of planar traveling waves in competitive–cooperative Lotka–Volterra system three species n-dimensional space. For with speed c>c*, we establish their exponential L∞(Rn), which is expressed as t−n2e−ετσt, where σ>0 a constant and ετ∈(0,1) depends on time delay τ>0 decreasing function ετ=ε(τ). The shown to significantly reduce decay rate solution. Additionally, for c=c*, demonstrate algebraic form t−n2. Our analysis employs Fourier transform weighted energy method carefully chosen weight function.

Language: Английский

Multidimensional Stability of Planar Traveling Waves for Competitive–Cooperative Lotka–Volterra System of Three Species DOI Creative Commons
Na Shi, Xin Wu, Zhaohai Ma

et al.

Mathematics, Journal Year: 2025, Volume and Issue: 13(2), P. 197 - 197

Published: Jan. 9, 2025

We investigate the multidimensional stability of planar traveling waves in competitive–cooperative Lotka–Volterra system three species n-dimensional space. For with speed c>c*, we establish their exponential L∞(Rn), which is expressed as t−n2e−ετσt, where σ>0 a constant and ετ∈(0,1) depends on time delay τ>0 decreasing function ετ=ε(τ). The shown to significantly reduce decay rate solution. Additionally, for c=c*, demonstrate algebraic form t−n2. Our analysis employs Fourier transform weighted energy method carefully chosen weight function.

Language: Английский

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