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Spatial segregation limit of competition systems and free boundary problems
  • Jian Yang,
  • Bendong Lou
Jian Yang
University of Jinan
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Bendong Lou
Shanghai Normal University
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Peer review status:UNDER REVIEW

24 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
25 Jul 2020Assigned to Editor
25 Jul 2020Submission Checks Completed
25 Jul 2020Reviewer(s) Assigned

Abstract

We consider a PDE/ODE system for two pairs of competing species and study the spatial segregation limit as the interspecific competition rate tends to infinity. We show that the limiting problem is a one-phase Stefan problem for nonlinear diffusion equations.