Publications (479)
ARTICLE
Impact of social media platforms excessive use on students performance in higher education institutions: A mathematical model approach
Komi Afassinou, Narcisse Roland Loufouma Makala, Ousmane Koutou, Richard O. Ocaya, Maba Boniface Matadi
This article develops a compartmental mathematical model to investigate the impact of excessive social media use on the academic performance of higher education students. Students who are heavily subscribed are classified ‘infected or addicted’ individuals. Their influence on the other naive non-subscribers leading them to become one and by se(...)
Social media fl ux, Awareness, Regulation, Backward bifurcation.
ARTICLE
Boundary Layers and Heavy Tails in Finance
Mamadou Birba, Moussa Bagayogo, Vini Yves Bernadin Loyara
This paper proposes a unified framework combining Extreme Value Theory (EVT) and nonlinear partial differential equations to model financial returns on the BRVM. We conjecture a link between the EVT tail index ξ and the p-Laplacian exponent p: ξ=1/(p−1) . The conjecture is motivated by a heuristic boundary layer analysis (which suggests ξ=1/p(...)
p-Laplacian, Extreme Value Theory, Boundary Layer, BRVM, Financial Returns, Value-at-Risk
ARTICLE
Quantifying the impact of time-delayed reporting and supportive care in measles outbreak: A simulation approach for Texas, USA
Chidozie Williams Chukwu, Ousmane Koutou, Moussa Ouedraogo, Dawit Denu
This study examines how time delays in vaccination response, case reporting, and access to supportive care influence measles transmission during the recent outbreak in Texas, USA. We develop a delay-based compartmental model that captures both biological and operational features of measles control and calibrate it using Texas reported Measles(...)
Measles, Time delay, Supportive care, Sensitivity analysis, Numerical simulations
ARTICLE
Analysis of a host-vector disease model with fixed moments pulse interventions
Boureima OUEDRAOGO, Ali TRAORE
Inourstudy,weproposeavector-hostepidemicmodelwithfixed-timepulseinterventionsguidedby population size of susceptible humans and susceptible vectors. This approach aims to reflect the situation where public health interventions, namely, vaccination campaigns, mass treatments, insecticide spraying, or sterile mosquito releases, are generally imp(...)
Vector-borne disease, Impulsive dynamical system, Periodic solution, Stability.
ARTICLE
Local existence and regularity of solutions in alpha norm for some integrodifferential equations with infinite Delay in banach spaces
EMMANUEL HINAMARI MANG-MASSOU, JUDÉON KABRE, MALIK ZOUNGRANA AND ISSA ZABSONRE
In this work, we prove the existence and regularity of solutions in -norm for some partial functional integrodifferential equations in Banach spaces under the resolvent operator’s
theory developed by Grimmer.
resolvent operator, fractional -power, c0-semigroup, mild and strict solutions, partial functional integrodifferential equations, infinite delay
ARTICLE
APPLICATION OF THE GALERKIN-SBA METHOD TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS
Sawadogo Salomond, Bamogo Hamadou, Bayalla Bazoboué Laurent et Francis Bassono
In this article, we propose a numerical framework referred to as the Galerkin-SBA method, obtained by coupling the Galerkin projection technique with the SBA iterative approach. The method reduces a nonlinear partial differential equation to a finite-dimensional system governing the time-dependent coefficients in a Galerkin expansion of the so(...)
Galerkin method, SBA method, nonlinear partial differential equations
ARTICLE
A mathematical analysis and numerical simulation of fish and zooplankton model with age-structured in the prey population taking account the fishing effect
Wendkouni Ouedraogo, Hamidou Ouedraogo, Ousmane Koutou, Boureima Sangare
The work presented in this paper is part of the general framework of mathematical ecology regarding the complex dynamics in predatory prey model. The main objective is the formulation and study of a prey-predator model to describe the dynamics of fish and zooplankton population taking into account two phenomenons: the catching effect in the fi(...)
population dynamics, fishing effort, prey-predator system, age-structured models, zooplankton and fish ecosystem, weakly persistence, fishing exploited and inexploited areas.
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
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
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
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
APPLICATION OF THE SBA METHOD TO SOLVE NONLINEAR FRACTIONAL-ORDER BIOLOGICAL POPULATION MODELS
Abdoul Wassiha NEBIE , Moussa BAGAYOGO, Youssouf MINOUNGOU3,4 and Youssouf PARE
In this paper, we study a fractional-order biological population model
using the SOME Blaise Abbo (SBA) method. The PDEs of this model
can be parabolic, diffusive, convective and reactive. The SBA method
is a numerical method based on the Adomian method (ADM), the
Picard principle and the method of successive approximations. It
avoids the(...)
Application of the SBA method to solve nonlinear fractional-order biological population models
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.