Stabilization of a population dynamic model with delay term by a boundary dynamical control
Vol. 2 No 1 (2023), Articles
Vol. 2 No 1 (2023)

Stabilization of a population dynamic model with delay term by a boundary dynamical control

Articles
Publiée 02-02-2023
Amidou TRAORE
Oumar TRAORE
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Mots-clés

delay term
strong stability
uniform stability
semigroup theory
Banch fixed point theorem
frequency domain approach
boundary control

Comment citer

TRAORE, A., & TRAORE, O. (2023). Stabilization of a population dynamic model with delay term by a boundary dynamical control. Journal De Mathématiques Pures Et Appliquées De Ouagadougou (JMPAO), 2(1). Consulté à l’adresse https://journal.uts.bf/index.php/jmpao/article/view/144
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Résumé

We consider a population dynamic system with delay term and nonlocal boundary condition. The semigroup theory combined with the Banach fixed point theorem lead to the well posedness of the problem. Using a boundary control, we establish first the strong stability. After, we prove the uniform stability of the model by using the frequency domain approach.

2010 Mathematics Subject Classification : 35B35, 35B40, 35L05, 93D15

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