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Stabilization for a periodic predator-prey system. (English) Zbl 1163.35318

Summary: A reaction-diffusion system modelling a predator-prey system in a periodic environment is considered. We are concerned in stabilization to zero of one of the components of the solution, via an internal control acting on a small subdomain, and in the preservation of the nonnegativity of both components.

MSC:

35B35 Stability in context of PDEs
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
35K57 Reaction-diffusion equations
92D25 Population dynamics (general)
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References:

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