Fu, Shengmao; Gao, Huayan; Cui, Shangbin On global solutions for the competitor-competitor-mutualist model with cross-diffusion. (Chinese. English summary) Zbl 1164.35047 Acta Math. Sin., Chin. Ser. 51, No. 1, 153-164 (2008). 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. Cited in 3 Documents MSC: 35K57 Reaction-diffusion equations 35B35 Stability in context of PDEs 92D25 Population dynamics (general) 92D40 Ecology Keywords:competitor-competitor-mutualist system; cross-diffusion; global solutions PDFBibTeX XMLCite \textit{S. Fu} et al., Acta Math. Sin., Chin. Ser. 51, No. 1, 153--164 (2008; Zbl 1164.35047)