Saddle-point behavior for monotone semiflows and reaction-diffusion models. (English) Zbl 1063.35083
This paper generalizes and unifies work done by H. L. Smith and H. R. Thieme [J. Differ. Equations 176, No. 1, 195–222 (2001; Zbl 1064.47075)] on some Lotka-Volterra systems and V. Capasso and R. E. Wilson [SIAM J. Appl. Math. 57, No. 2, 327–346 (1997; Zbl 0872.35053)] on some epidemic models about the existence of a saddle-point structure in competitive systems.
Reviewer: Domingo Salazar (Coventry)
MSC:
| 35K57 | Reaction-diffusion equations |
| 37C65 | Monotone flows as dynamical systems |
| 47H07 | Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces |
| 92D25 | Population dynamics (general) |
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