Du, Yihong Positive periodic solutions of a competitor-competitor-mutualist model. (English) Zbl 0858.35057 Differ. Integral Equ. 9, No. 5, 1043-1066 (1996). 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) Cited in 2 ReviewsCited in 23 Documents MSC: 35K57 Reaction-diffusion equations 35B10 Periodic solutions to PDEs 47H11 Degree theory for nonlinear operators 92D25 Population dynamics (general) Keywords:competitor-competitor-mutualist model; positive periodic solutions PDFBibTeX XMLCite \textit{Y. Du}, Differ. Integral Equ. 9, No. 5, 1043--1066 (1996; Zbl 0858.35057)