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<p>This paper is concerned with the long time behavior of solutions to a time-periodic Lotka-Volterra strong competition system with nonlocal dispersal when the two species are initially absent from the right half-line <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(x\ge 0\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>x</mi> <mo>≥</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation> and the slower one dominates the faster one on <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(x&lt;0\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>x</mi> <mo>&lt;</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation>. Due to the presence of the time-periodicity, the long time behavior relies on the construction of nontrivial super- and subsolutions and establishment the exponential decay of critical periodic traveling waves for a time-periodic nonlocal dispersal equation.</p>

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Long Time Behavior for Time-Periodic Lotka-Volterra Competition System with Nonlocal Dispersal

  • 期刊论文

  • 发表日期：

    2025年11月15日

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  • Liyan Pang,
  • Xiao Zhang

摘要

This paper is concerned with the long time behavior of solutions to a time-periodic Lotka-Volterra strong competition system with nonlocal dispersal when the two species are initially absent from the right half-line \(x\ge 0\) x ≥ 0 and the slower one dominates the faster one on \(x<0\) x < 0 . Due to the presence of the time-periodicity, the long time behavior relies on the construction of nontrivial super- and subsolutions and establishment the exponential decay of critical periodic traveling waves for a time-periodic nonlocal dispersal equation.