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\({\mathcal A}\)-stability of global attractors of competition diffusion systems. (English) Zbl 1205.35032

The authors consider the structural stability of global attractors for two-species competition diffusion systems with Morse-Smale structure. A two species competition diffusion system with Morse-Smale structure is structurally \({\mathcal A}\)-stable.
Reviewer: Jiaqi Mo (Wuhu)

MSC:

35B41 Attractors
35B42 Inertial manifolds
37D15 Morse-Smale systems
35K51 Initial-boundary value problems for second-order parabolic systems
92D25 Population dynamics (general)
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