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Stabilization strategies for some reaction–diffusion systems |
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| Authors: | Sebastian Ani?a Michel Langlais |
| Institution: | 1. Faculty of Mathematics, University “Al.I. Cuza”, Ia?i 700506, Romania;2. Institute of Mathematics “Octav Mayer”, Ia?i 700506, Romania;3. UMR CNRS 5466 MAB and INRIA Futurs Anubis, case 26, Université Victor Segalen Bordeaux 2, 33076 Bordeaux Cedex, France |
| Abstract: | A two-component reaction–diffusion system is considered. The question of stabilizing to zero one of the components of the solution via an internal control acting on a small subdomain and preserving nonnegativity of both components is investigated. Our results apply to predator–prey systems. |
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