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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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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.

Peer review status:ACCEPTED

24 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
25 Jul 2020Submission Checks Completed
25 Jul 2020Assigned to Editor
25 Jul 2020Reviewer(s) Assigned
17 Sep 2020Review(s) Completed, Editorial Evaluation Pending
19 Sep 2020Editorial Decision: Revise Minor
10 Jan 20211st Revision Received
10 Jan 2021Submission Checks Completed
10 Jan 2021Assigned to Editor
10 Jan 2021Editorial Decision: Accept