Accepted for publication in JNEEA

Simultaneous null controllability for two age-dependence backward population dynamics problems

C. K. Some, S. Sawadogo, M. Kere

Laboratoire LANIBIO, Université Ouaga 1 Pr. Joseph KI-ZERBO, 09 BP 522 Ouagadougou 09, Burkina Faso

Received on October 29, 2018, revised version on February 17, 2019
Accepted on February 7, 2019 (with modifications)

Communicated by Gisèle Mophou

Abstract.  In this paper, we study the null controllability for a system of two strokeequations arising from a coupled population dynamics models. First we transform the system of two stroke equations with a same control to a system of coupled two stroke equations with a control function acting only in one equation. Then, we establish a global Carleman inequality and we deduce an observability inequality that we use to solve the problem thanks to appropriate estimates adapted to the system.
Keywords: null-controllability, population dynamics equation, Carleman inequalities, observability inequality..
2010 Mathematics Subject Classification:   49J20, 93B05, 92D25, 35Q92,35Q93.

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