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Persistence in a periodic competitor-competitor-mutualist diffusion system. (English) Zbl 0995.35008

The existence and the asymptotic behaviour of periodic solutions for a periodic reaction-diffusion competitor-competitor-mutualist system is investigated. It is proved that under certain conditions the system is persistent. Conditions which imply the extinction of the mutualist species are also given.

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35K57 Reaction-diffusion equations
35B10 Periodic solutions to PDEs
92D40 Ecology
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