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Positive periodic solutions of a competitor-competitor-mutualist model. (English) Zbl 0858.35057

Degree results of Dancer and the author and bifurcation and monotonicity techniques are used to study a competitor-competitor-mutualist model with diffusion. Rather complete results on the existence and nonexistence of positive periodic solutions are attained. It turns out that this model behaves largely as the two-species competition model.
Reviewer: J.F.Toland (Bath)

MSC:

35K57 Reaction-diffusion equations
35B10 Periodic solutions to PDEs
47H11 Degree theory for nonlinear operators
92D25 Population dynamics (general)
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