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On global solutions for the competitor-competitor-mutualist model with cross-diffusion. (Chinese. English summary) Zbl 1164.35047

Summary: Using energy estimates and bootstrap arguments, the global existence of classical solutions for the competitor-competitor-mutualist model with cross-diffusion is proved when the space dimension is at most 5. Under certain conditions on the coefficients of the reaction functions, the convergence of the solutions is established by Lyapunov functions.

MSC:

35K57 Reaction-diffusion equations
35B35 Stability in context of PDEs
92D25 Population dynamics (general)
92D40 Ecology
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