Publications (468)
ARTICLE
Global Properties of a Fractional Order Model of a Vector-Borne Disease
Boureima Ouedraogo; Ali Traoré, Harouna Ouedraogo
We present here a fractional model in the sense of Caputo of a vector-borne disease with insecticide resistance genes. This study is important because it contributes to our understanding of vector-borne disease transmission dynamics using the notion of dif- ferential operators. The use of fractional derivatives in the model provides a memory e(...)
fractional differential equation, Lyapunov function, stability, vector-borne disease
ARTICLE
Mathematical Analysis of a Co-Dynamics Model of Listeriosis and Bacterial Meningitis Starting From Ready-to-Eat Foods
Ousmane Koutou, Cheick Abdoul Kabir Kouanda, Adama Ouédraogo
Listeriosis is a foodborne illness that can lead to bacterial meningitis. In this paper, we propose and investigate a model of co-infection involving both listeriosis and bacterial meningitis, originating from ready-to-eat food products. We begin by examining the patterns of each disease individually, as well as the dynamics of their co-infect(...)
Listeriosis/bacterial meningitis; co-infection modeling; bifurcation; sensitivity analysis; Numerical simulations.
ARTICLE
Kneser’s property of a class of an integrodifferential equations in alpha-norm
GAPILY DOUKA, JUDEON KABRE, PAUL OUEDRAOGO and ISSA ZABSONRE
In this work, we prove some properties of the set of solutions for some integrodifferential equations called Kneser's property.
Resolvent operator, Fractional alpha-power, C0-semigroup, integrodifferential equations
ARTICLE
Numerical Analysis by Godunov-Type Scheme for Kazhikhov-Smagulov Pollution Model
Gafarou Zongo, Jules Ouya, Arouna Ouedraogo
The pollution model based on the Kazhikhov-Smagulov equations, a set of equations in fluid mechanics and environmental modeling, is thoroughly investigated numerically in this paper. We investigate the intricate behavior of pollution in a single spatial dimension using a Godunov-type method, which is renowned for its ability to capture discont(...)
Godunov-type scheme; Kazhikhov-Smagulov equations; Riemann problem; Riemann solver; stability.
ARTICLE
Global stability of an SIS epidemic model with general incidence function in a patchy environment
Bakary Traore, Moussa Barro, Ousmane Koutou
We investigate some analytical results for an SIS compartmental epidemic model that describes the propagation of a
disease in a population of individuals who can travel among n patches. The model is formulated as a system of ordinary differential
equations, with terms accounting for general incidence, recovery, birth, death, and travel betwe(...)
Patchy environment, general incidence function, reproduction number, stability, numerical simulations
ARTICLE
Analysis and optimal control of a fractional-order model of a vector-borne disease
Ali Traoré; Rosaire Ouedraogo; Hamadoum Dicko
In this paper, a fractional-order model has been developed to study the transmission dynamics of a vector-borne disease. The use of fractional calculus, particularly through the Caputo derivative, provides a mathematical framework that accounts for memory effects and long-term dynamics often observed in vector-borne diseases. The difference be(...)
Fractional order, Stability, Optimal Control, Vector-borne disease
ARTICLE
ROSELLE POLYNOMIALS AND THEIR q-ANALOGUE
Mamy Laingo Nomenjanahary Rakotoarison, Joël Kabore, Fanja Rakotondrajao, Gérard Kientega, Dimbiniaina Ratovilebamboavison
In this paper, we establish relations defining the coefficients of Roselle polynomials and give their combinatorial interpretation. Introducing the non-ascending permutations, we determine the q-Roselle polynomials as well as their q-exponential generating.
arrangement, descent, left-to-right minima, non-ascending permutations, q-analogue, Roselle polynomials, generating functions.
ARTICLE
Fourier multipliers and Sobolev spaces on homogeneous spaces related to Gelfand pairs
Yaogan Mensah, Marie Francoise Ouedraogo
Let G be a locally compact Hausdorff group and let K be a compact subgroup of G such that (G,K) is a Gelfand pair. This paper is devoted to the study of Fourier multipliers and Sobolev spaces on the homogeneous space G/K. The Fourier multipliers and the Sobolev spaces on G/K are built from a vector-valued Fourier transformation related to unit(...)
homogeneous space; Gelfand pair; Fourier multiplier; Sobolev space; bosonic string equation
ARTICLE
Asymptotic behavior of a vector-host disease model with piecewise-smooth treatment
Issoufou Zoré, Boureima Ouedraogo, Ali Traoré
In this paper, we analyze a vector-host epidemic model with a piecewise-smooth treatment rate.The
use of piecewise-smooth treatment depicts the limited medical resource situation in the community. The treatment
increases linearly with infective population until the treatment capacity is reached, after which constant treatment(i.e
maximum tr(...)
Host-vector disease, Stability, Bifurcation.
ARTICLE
Assessing the potential impact of the RTS, S/ASO1 vaccine on malaria burden in Benin: a mathematical modelling approach
Gouvidé Jean Gbaguidi, Mor Absa Loum, Lucien Diégane Gning, Aboudou Karime Tahiho, Elhadj Marouf Diallo, Ousmane Koutou, Andre Dembélé, Nikita Topanou & Guillaume K. Ketoh
Malaria remains a major public health challenge in Benin, particularly among children under
five years of age. Despite the wide deployment of vector control measures the disease burden
remains high. Based on modeling approach, this study evaluates the potential impact and
effectiveness of the introduction of the RTS, S/ASO1 malaria vaccine(...)
Public health, RTS,S/AS01 vaccine, malaria control, EMOD model
ARTICLE
Modeling and Mathematical Analysis of the Interactions Between the Leafhopper Amrasca Biguttula and Cotton Using Caputo's Fractional Approach
Soumaye HARO, Elisée GOUBA, Boukary OUEDRAOGO
In this paper, we propose a fractional order mathematical model in the sense of Caputo for the transmission dynamics of cotton disease caused by the jassid Amrasca biguttula. In this model, which takes into account disease transmission through vegetative reproduction, the cotton population is divided into susceptible (S_c), latent (L_c), and i(...)
Amrasca biguttula, fractional-order model, stability, sensitivity analysis, numerical simulations
ARTICLE
Low-Regret Control of a Nonlinear Hyperbolic Problem With Missing Data.
Biéliémi LAMIEN, Sadou TAO, Satafa SANOGO.
In this paper, we characterise the control of an ill-posed nonlinear evolution problem. More precisely, we study the
low-regret control of a system governed by a hyperbolic operator by using the regularisation approach, which makes
it possible to generate missing data. We obtain singular optimal systems characterising the low-regret control(...)
Low-regret contol, no-regret control, singular optimal systems, hyperbolic problem, missing data.
ARTICLE
Isotropic problem with non homogeneous Dirichlet boundary condition and L1-data
Boureima SAWADOGO, Stanislas OUARO, Adama KABORE
The purpose of this paper is to study an isotropic problem with non homogeneous Dirichlet
boundary condition and L1-data in a variable-exponent Sobolev space. We start by showing
the existence and uniqueness of the weak solution when the source term is bounded. Finally,
we use a problem-based approach to prove the existence and uniqueness o(...)
Sobolev spaces, variable exponent, weak solution, entropy solution
ARTICLE
Analysis of the HIV/AIDS transmission dynamics model using Caputo fractional-order derivative
Boukary Ouedraogo , Nour Eddine Alaa , Elisée Gouba , Soumaye HARO
Although national and international institutions, such as the World Health Organization (WHO) and UNAIDS, are making significant efforts to eradicate HIV by 2030, it remains a major threat to global public health. Despite its low prevalence, HIV continues to claim lives and remains a major public health issue, especially in developing countrie(...)
HIV/AIDS, deterministic model, fractional order model, sensitivity analysis, numerical simulation
ARTICLE
Nonlinear Elliptic Problem Involving Natural Growth Term, Measure Data, Variable Exponent and Neumann Boundary Conditions
Ibrahim KONATE, Stanislas OUARO
In this paper, we investigate the existence of solutions to an elliptic problem with natural growth term, diffuse measure data and Neumann boundary conditions. Using approxi- mation methods via Yosida regularization and truncation, along with maximal monotone operator methods in Banach spaces, we prove the existence of a renormalized solution.(...)
Generalized Lebesgue-Sobolev spaces · Sobolev spaces · Leray-Lions operator · Truncations · Maximal monotone graph · Entropy solution · Marcinkiewicz spaces