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Existence of non-trivial nonnegative periodic solutions for a nonlinear diffusion system. (English) Zbl 1142.35322

Summary: In this paper, by the method of upper and lower solution, the authors establish the existence of the non-trivial nonnegative periodic solutions for a class of degenerate diffusion system arising from dynamics of biological groups.

MSC:

35B10 Periodic solutions to PDEs
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
35K57 Reaction-diffusion equations
35K65 Degenerate parabolic equations
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