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Journal Articles Journal of Mathematical Analysis and Applications Year : 2015

On the Stability of a Periodic Solution of Distributed Parameters Biochemical System

Abstract

This paper studies the stability of periodic solutions of distributed parameters biochemical system with periodic input Sin(t). We prove that if Sin(t) is periodic then the system has a periodic solution that is input to state stable when small perturbations are acting on the input concentration Sin(t).
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Dates and versions

hal-01248075 , version 1 (23-12-2015)

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Abdou Khadry Dramé, Frédéric Mazenc, Peter Wolenski. On the Stability of a Periodic Solution of Distributed Parameters Biochemical System. Journal of Mathematical Analysis and Applications, 2015, 432 (1), pp.196-213. ⟨10.1016/j.jmaa.2015.06.045⟩. ⟨hal-01248075⟩
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