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15 results on '"Barro Moussa"'

1. A temperature-dependent mathematical model of malaria transmission with stage-structured mosquito population dynamics

Author

Traoré Bakary, Barro Moussa, Sangaré Boureima, and Traoré Sado

Subjects
malaria, basic reproduction ratio, vector reproduction ratio, persistence, global stability, periodic solution, 34d20, 34d23, 34d45, 37c75, Mathematics, QA1-939
Abstract

In this paper, we formulate a temperature-dependent model for malaria transmission dynamics which includes immature stages of mosquitoes. The model is constructed by using ordinary differential equations with some parameters which are periodic functions. Two thresholds dynamics associated to the model have been derived: the vector reproduction ratio ℛv and the basic reproduction ratio ℛ0. Through a rigorous analysis via theories and methods of dynamical systems, we prove that the global behavior of the model depends strongly on these two parameters. More precisely, we show that if ℛv is greater than one and ℛ0 is less than one then, the disease-free periodic equilibrium is globally attractive. If ℛv is greater than one and ℛ0 is greater than one, the disease remains persistent and the system admits at least one positive periodic solution. Finally, using the reported monthly mean temperature for Burkina Faso, numerical simulations are carried out to illustrate our mathematical results.

Published
2021
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2. On the generalization of the study of a letter power substitution on modulo-recurrent words

Author

Barro, Moussa, Bognini, K. Ernest, and Kientéga, Boucaré

Subjects
Mathematics - Combinatorics, 68R15, 11B85, 03D15
Abstract

Let us consider an infinite word and $k\geq 1$ an integer. By steps of $k$, we substitute a letter ofthis infinite word by the power of an external letter. The new word obtaining by this process is called $k$ to $k$ substitution of a power letter. After the application of this new notion on modulo-reccurent words and in particular on Sturmian words. We establish the complexity function of those words.

Published
2024

3. On the study of cellular automata on modulo-recurrent words

Author

Barro, Moussa, Bognini, K. Ernest, and Kientéga, Boucaré

Subjects
Mathematics - Combinatorics, 37B15, 68Q80, 68R15, 11B85, F.2.2
Abstract

In this paper, we study some class of cellular automata (CA) preserving modulo-recursive, stability by reflection and richness called stable cellular automata (SCA). After applying these automata on Sturmian words, we establish some combinatorial properties of these new words. Next, the classical and palindromic complexity functions of these words are also determined. Finally, we show that these words are $2$-balanced and we establish their abelian complexity function., Comment: 14 pages, 0 figure, to be published in Discrete Mathematics and Theoretical Computer Science (DMTCS)

Published
2022

7. ROBUST OPTIMIZATION FOR QUADRATIC PROGRAMS WITH DATA UNCERTAINTY USING THE CONCEPT OF STABILITY RADIUS.

Author

SANOGO, SATAFA, ZONGO, MOHAMED, BARRO, MOUSSA, and TRAORE, SADO

Subjects
ROBUST optimization, SATISFACTION
Abstract

In this work, we study an uncertain quadratic optimization problem by using the concept of stability radius. That allows to prove robustness of uncertain quadratic optimization models. Firstly, we determine the stability radius of this problem by applying Ascoli formula. Secondly, we show that its robust counterpart has at least an optimal solution. Finally, we deal with an application and provide some numerical methods for such an uncertain quadratic optimization problem. [ABSTRACT FROM AUTHOR]

Published
2024
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9. Effets longue-durée de différentes densités de Piliostigma reticulatum (DC) Hochst sur le stockage et la dynamique du carbone et de l'eau dans un Plinthosol épipétrique en zone nord-soudanienne du Burkina Faso

Author

Gnissien, Moussa, Coulibaly, Kalifa, Barro, Moussa, Douzet, Jean-Marie, Cournac, Laurent, Cicek, Harun, Nacro, Hassan Bismarck, Gnissien, Moussa, Coulibaly, Kalifa, Barro, Moussa, Douzet, Jean-Marie, Cournac, Laurent, Cicek, Harun, and Nacro, Hassan Bismarck

Abstract

L'agroforesterie demeure l'une des stratégies d'amélioration de la fertilité des sols les plus accessibles aux producteurs des pays sahéliens. L'objectif de nos travaux était de déterminer les effets de densités de Piliostigma reticulatum suivant deux types de travail du sol sur le statut et la dynamique du carbone organique et de l'eau du sol en zone nord-soudanienne du Burkina Faso. Le dispositif expérimental est constitué de blocs de Fisher à deux facteurs (travail du sol et densité d'arbustes) comprenant huit traitements et quatre répétitions. Sur la profondeur 0-10 cm, le stock de carbone augmentait de 20,45% et 26,29% respectivement pour les densités de 1000 et 2000 pieds / ha comparativement à celle de 0 pieds / ha en zaï ; et de 38,59% et 57,34% pour la densité de 2000 pieds / ha respectivement en système de culture (SC) et en mise en défends comparativement à celle de 500 pieds / ha en semis direct (SD). Sur la même profondeur, la réserve utile en eau du sol a été plus élevée avec 2000 pieds / ha (13,05 ± 0,66 mm) en zaï, et avec 500 pieds / ha (11,05 ± 1,13 mm) en SD. Le rapport carbone labile sur carbone organique est plus faible sur la couche 0-10 cm (9% à 12%) que sur 20-30 cm (49% à 72%) en présence d'arbustes. La vitesse d'infiltration augmentait de 54,20% et 31% respectivement pour les densités de 1000 et 2000 pieds / ha comparativement à celle de 0 pieds / ha en zaï ; et de 140,32 et 232,23% respectivement pour la densité de 2000 pieds / ha sous SC et sous jachère comparativement à la densité de 500 pieds / ha en SD. Globalement, les densités de 1000 et 2000 pieds / ha améliorent le plus le stockage du carbone, de l'eau et la perméabilité du sol. Le zaï et le SD bien qu'ayant des effets similaires sur le stockage des deux pools de carbone, se distinguent par le fait que le zaï semble plus améliorer le stockage de l'eau alors que le SD améliore plus la perméabilité du sol.

Published
2023

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