Publications (468)
ARTICLE
The unit bundle of a real hyperbolic space
Alfred Touré, Daniel Koama, Mikaïlou Compaoré, Marie Françoise Ouedraogo
The purpose of this article is to study the two homogeneous structures of the unit bundle UH^n of a real hyperbolic space. In both the cases, we determine the -invariant Riemannian metrics. In passing, we examine whether the geodesic flow is an isometry of UH^n when equipped with its Levi-Civita metric. Finally, we study the manifold of geodes(...)
hyperbolic space, isotropy representations, unit bundle
ARTICLE
Global existence of a weak solution for a reaction–diffusion system in a porous medium with membrane conditions and mass control
Safimba Soma , Siaka Kambele and Aboudramane Guiro
In this paper, we prove the global exstence of weak solutions for a porous medium
dynamics of m species moving between two domains separated by a zero-thickness membrane.
On this membrane, Kedem–Katchalsky conditions are considered, and the study is characterized
by natural structural conditions applied to the nonlinear reactive terms. The(...)
Kedem–Katchalsky conditions, membrane boundary conditions, reaction–diffusion system,globalexistence,nonlineardiffusion.
ARTICLE
REMOVABLE SETS FOR THE WAVE EQUATIONS IN TERMS OF HAUSDORFF MEASURE
I.LY, M. OUEDRAOGO, B. BELLA and T.OUEDRAOGO
We prove a Radó theorem for the wave equations. Namely, we
consider u to be a locally Lipschitz continuous function on an
open set X of R^{n+1} and weakly solution to the wave equations ∂ttu -div(∇u)=0
away from the zero set away from the zero set u^{-1}(0) in X. We prove
that u is a weak solution to these wave equations in(...)
hyperbolic equations, removable sets, Hausdorff measure.
COMMUNICATION
TO COLLECTIVE DECISION-MAKING BASED ON THE CHOQUET AND SUGENO INTEGRAL IN BURKINA FASO
Hadarou YIOGO, Zoïnabo SAVADOGO
La situation sécuritaire au Burkina Faso s’est dégradée ces dernières
années. Cela a eu un impact négatif sur le système éducatif du pays à
travers la fermeture de plusieurs écoles. Compte tenu de
l’importance accordée à l’éducation, il est nécessaire de mettre en
place des sites d’accueil pour les élèves déplacés afin d’assurer la
c(...)
Extension, EVAMIX; Choquet, Sugeno
COMMUNICATION
EXTENSION OF THE SIMPLE MULTI-ATTRIBUTE RATING TECHNIQUE (SMART) TO GROUP DECISION PROBLEM SOLVING)
Hamado BAMOGO, Zoïnabo SAVADOGO
This study proposes an extension of the SMART (Simple MultiAttribute Rating Technique) method to adapt it to group decisions, a
context where classical methods often show their limits. To better
manage the diversity of preferences and complex interactions
ABSTRACTS/SCHEDULE FRIDAY 07:30 AM – 02:30 PM
ISAHP 2024 p. 50
BREAK OUT SCH.(...)
Extension, Group Decision; SMART
ARTICLE
NONREGULAR BOUNDARY VALUE PROBLEMS WITH A PARAMETER
I. Ly, T. Dabre and B. Bella
In this paper, we discuss boundary value problems for a class of
nonlinear elliptic equations with data on a boundary surface. We
denote by y the unknown function which is supposed to take its values
in R^k. We assume that only some components of y are given on
the whole boundary surface implying the designation of nonreg(...)
nonlinear PDE, Cauchy problem, elliptic operators
ARTICLE
Mathematical Modeling and Optimal Control of an HIV/AIDS Transmission Model.
Ouedraogo Boukary, Zorom Malicki, Gouba Elisée
In this article, we present a mathematical model for the transmission of HIV with the compartment of
individuals in remission and vertical transmission describing the dynamics of the spread of the HIV/AIDS epidemic in
a community. In the mathematical analysis of the model, we compute the basic reproduction number R0 and study the
existen(...)
HIV/AIDS epidemiology; mathematical model; local and global stability; numerical results; Optimal control
ARTICLE
Local Entropy Solution of a Convection-Diffusion Type Integro-Differential Equation
Mohamed Bance and Safimba Soma
In this work, we prove existence local entropy solution of a convection-diffusion type integro-differential equation
∂t k ∗( j(v)−j(v0)) −∇· a(x,∇ϕ(v)) + F(ϕ(v))= f
in QT := (0,T) ×Ω with Dirichlet boundary condition v(0,
·)= v0 in Ω and L1-data f ∈L1((0,T) ×Ω), j(v0) ∈L1(Ω). To
that end, regularising the data by L∞-functions, using the exis(...)
fractional time derivative, Nonlinear Volterra equation, Doubly nonlinear, Entropy solution
ARTICLE
Analysis of the Well-posedness of a SEIRDS Dynamic Model for the Spread of Infectious Diseases
Siaka KAMBELE ; Safimba SOMA and Aboudramane GUIRO
The goal of this paper is to demonstrate the well-posedness of a nonlinear parabolic reaction-diffusion system modeling the
spread of infectious diseases. The considered mathematical model is of the SEIRDS type. We prove the global existence
of a weak solution by using an approximation system with a delay operator λτ (which we define in the s(...)
reaction-diffusion, nonlinear parabolic system, infectious diseases, SEIRD model, weak solution, well- posedness
COMMUNICATION
Résolution d’équations aux dérivées partielles d’ordre fractionnaire issus des ondes par la méthode SBA.
NEBIE Abdoul Wassiha
Les ondes constituent des perturbations se déplaçant dans un milieu, transportant de l'énergie sans transporter de matière. Elles sont classées en deux grandes catégories : les ondes mécaniques (comme les ondes sonores) dont la propagation nécessite un milieu matériel (solidegaz liquide) et les ondes électromagnétiques (comme la lumière et les(...)
Ondes, diffusion, réaction, fractionnaire, Méthode SBA.
COMMUNICATION
Détermination d'une meilleure variété de niébé pour promouvoir sa production à l'aide de la méthode EVAMIX et VMAVA+ au Burkina Faso
Hadarou YIOGO, Zoïnabo SAVADOGO
Au Burkina Faso, le niébé constitue une importante denrée alimentaire de base dans les ménages. Il
contribue fortement dans la nutrition des personnes, la sécurité alimentaire et la génération des ressources.
Ce qui rend sa culture incontournable. Malgré l'engouement des agriculteurs dans la culture du niébé, la
production reste faible d(...)
Variété de niébé, Décision collective, méthode EVAMIX, méthode VMAVA+
COMMUNICATION
Sélection d’un meilleur centre d’approvisionnement en médicaments génériques à l’aide de la méthode ELECTRE II, l’opérateur tripleproduit 3∏et sa variante Moyenne triple produit M3∏
ELECTRE II, triple produit, moyenne triple produit, critère, centre d’approvisionnement, décision de groupe
Les décisions politiques en matière de la gestion des dépôts pharmaceutiques est
indéniablement une préoccupation majeure de tout gouvernant. Ainsi la réussite de tout
programme, pharmaceutique devrait être la résultante d’un mécanisme d’approvisionnement
efficace qui garantit l’alimentation régulière dans les meilleures conditions de qu(...)
ELECTRE II, triple produit, moyenne triple produit, critère, centre d’approvisionnement, décision de groupe
ARTICLE
Rigorous justification of hydrostatic approximation of compressible fluid flow equations
Jules Ouya , Arouna Ouédraogo
In this paper, we obtain the 3D compressible primitive equations approximation with gravity by taking the small aspect ratio limit to the Navier-Stokes equations. We use the versatile relative entropy inequality to prove rigorously the limit from the compressible Navier-Stokes equations with a pressure law of the form p(ρ) = ρ^2 to the compre(...)
anisotropic Navier-Stokes equations, aspect ratio limit, compressible primitive equations, relative entropy
ARTICLE
Approximation of the Ultim Ruin Probability by the Finite Difference Method of a Variable-memory Process (HAWKES process) With a Distribution of WEIBULL
Souleymane Badini, Fr´ed´eric B´ER´E, Delwendé Abdoul-Kabir Kafando
In insurance risk management, the probability of ruin is a very important metric to assess. In this article, we give an approximation of the probability of ruin at the infinite horizon, where the inter-arrivals of claims follow the HAWKES process and the amount of claims follows the WEIBULL distribution, with independence between its two proce(...)
numerical method, integro-differential equation, probability of ruin, system of linear equations
ARTICLE
Mathematical analysis of the effects of precarious health system on COVID-19 transmission dynamics: case of Burkina Faso
Ousmane Koutou, Komi Afassinou, Adama Ouedraogo, Abou Bakari Diabate
In the early moments of the pandemic of coronavirus disease 2019 (COVID-19), the level of e ectiveness in treatment and management of patients was limited due to the lack of e ective medications and adapted infrastructures in several countries especially in most developing countries. In this study, we propose an SIR-pattern model to investigat(...)
COVID-19, Health system weakness, Stability analysis, Fitting, Numerical simulations.