Different spreading speeds in a weak competition model with two free boundaries

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In this paper, we focus on the spreading behavior of a two-species weak competition system with two free boundaries in a spherically symmetric setting. This model may describe how two weakly competing species spread into the right empty space. When both two species spread successfully and one species cannot keep pace with the other one, it can be expected that two species spread asymptotically in a linear fashion but spread with different speeds. By the help of a semi-wave system and a construction of supersolution and subsolution, we establish the precise spreading speeds and population distribution of two weakly competing species, which provides a new spreading behavior.

Original languageAmerican English
Pages (from-to)4841-4862
Number of pages22
JournalJournal of Differential Equations
Issue number8
StatePublished - 5 Oct 2019


  • Asymptotic spreading speed
  • Competition-diffusion model
  • Free boundary problem
  • Weak competition


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