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Spatial segregation limit of competition systems and free boundary problems
Author(s) -
Lou Bendong,
Yang Jian
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7245
Subject(s) - mathematics , limit (mathematics) , limiting , ode , competition (biology) , nonlinear system , diffusion , infinity , mathematical analysis , boundary (topology) , interspecific competition , physics , mechanical engineering , ecology , paleontology , quantum mechanics , engineering , biology , thermodynamics
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.