Scholarlink

<p>Classical theory predicts that for two competing populations subject to a constant downstream drift, the faster disperser will competitively exclude the slower disperser. In the current work, we consider a novel model of a “much faster” dispersing species, modeled via a <i>p</i>-Laplacian operator, competing with a slower disperser. We prove global existence of weak solutions to this model for any positive initial condition, in the regime <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\frac{3}{2}&lt; p &lt;2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> <mo>&lt;</mo> <mi>p</mi> <mo>&lt;</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation>. Counterintuitively, we show that while the faster disperser always wins - the “much faster” disperser could actually lose, for certain initial data. Several numerical simulations are conducted to confirm our analytical findings. Our results have implications for refuge design and improved biological control, driven by habitat fragmentation and climate change.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The Effect of “Very Fast” Dispersal on Two Species Competition with Drift

  • 期刊论文

  • 发表日期：

    2026年4月18日

查看全文
  • Rana D. Parshad,
  • Erin Ellefsen,
  • Vaibhava Srivastava

摘要

Classical theory predicts that for two competing populations subject to a constant downstream drift, the faster disperser will competitively exclude the slower disperser. In the current work, we consider a novel model of a “much faster” dispersing species, modeled via a p-Laplacian operator, competing with a slower disperser. We prove global existence of weak solutions to this model for any positive initial condition, in the regime \(\frac{3}{2}< p <2\) 3 2 < p < 2 . Counterintuitively, we show that while the faster disperser always wins - the “much faster” disperser could actually lose, for certain initial data. Several numerical simulations are conducted to confirm our analytical findings. Our results have implications for refuge design and improved biological control, driven by habitat fragmentation and climate change.