Null controllability of a four-stage age-structured population dynamics model with spatial diffusion for desert locusts
Nestor RAMDEa,b, Amidou TRAOREc,d, Yacouba SIMPORE a,e, Ousseynou NAKOULIMAb
a
Laboratoire Analyse Numérique, Informatique et Biomathématiques (LANIBIO),
UFR Sciences Exactes et Appliquées, Université Joseph KI-ZERBO , Ouagadougou, Burkina Faso.
b
Laboratoire MAINEGE, UFR Sciences et Technique, Université Ouaga, Ouagadougou, Burkina Faso
c
Laboratoire Sciences et Technologies (LaST), UFR Sciences et Techniques, Université Thomas SANKARA, Ouagadougou, Burkina Faso
d
Laboratoire Interdisciplinaire de Recherche en Sciences Appliquées (LIRSA), École Normale Supérieure (ENS), Burkina Faso
e
Université Yembila Abdoulaye TOGUYENI, Fada N'Gourma, Burkina Faso
Received on June 2, 2025, revised on March 17, 2026
Accepted on March 17, 2026
Communicated by Mamadou Moustapha MBAYE
| Abstract. This article focuses on the study of null controllability in a population dynamics model of the desert locust, structured by age and incorporating spatial diffusion as well as nonlocal boundary conditions. More specifically, we consider a four-stage model that includes second-order derivatives with respect to both age and space variables. Null controllability in this context is associated with the extinction of eggs, larvae, and the female subpopulation. We estimate a time T required to bring the density of these subpopulations to zero. Our approach combines the fixed-point theorem with Carleman estimates. | |
| Keywords: | Carleman estimates, Fixed-point, Desert Locusts. |
| 2010 Mathematics Subject Classification: 35K57, 35Q92, 35R09. | |
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