Publications (459)
ARTICLE
Multiplicity of solutions for discrete potential boundary p(k)-Laplace Kirchhoff type equations
B. Moussa, I. Nyanquini, S. Ouaro
In this article, we prove the existence and multiplicity of solutions for discrete p(k)-Laplace Kirchhoff type equations with a po- tential boundary condition. The technical approach for the proof of the existence of solutions is based on variational methods and critical point theory for convex sets
Kirchhoff type equation, potential boundary condition, multi- ple solutions, variational methods, critical point theory.
ARTICLE
ANALYSIS OF A CO-INFECTION MODEL CONSIDERING THE INFLUENCE OF INFORMATION DYNAMICS
Ali TRAORE, Hamadoum Dicko, Rosaire Ouedraogo
In this paper, we present a mathematical model to study the dynamics of a co-infection involving two diseases: one that confers tem- porary immunity and the other that confers permanent immunity, while incorporating the impact of information dissemination about temporary immunity disease. The study of the disease with temporary immunity shows(...)
Mathematical modeling, co-infection, stability, optimal control.
ARTICLE
Some results in the α-norm for some nonlinear second order differential equation with finite delay in Banach space
Djendode Mbainadji, Sylvain Koumla, Issa Zabsonre
This paper investigates the existence, regularity and compactness property in the a-norm for some second order nonlinear differential equations with finite delay in Banach spaces. The theory of the cosine family, the contraction principle, and Schauder’s fixed point theorem are used to establish global existence, continuous dependence on initi(...)
cosine family; finite delay; mild and strict solutions; a-norm; second order functional differential equations.
ARTICLE
Square-mean pseudo almost automorphic Solutions of class r in the α-norm under The light of measure theory
Djendode Mbainadji, Issa Zabsonre
The main objective of this work is to study the existence and uniqueness of the square-mean (μ, ν)-pseudo almost automorphic solution of class r in the α-norm for a stochastic partial functional differential equation. For this purpose, we use the Banach contraction principle and the techniques of fractional powers of an operator to obtain the(...)
(μ, ν)-pseudo almost automorphic functions, ergodicity, measure theory, partial functional differential equations, stochastic evolution equations, stochastic processes.
ARTICLE
Crank–Nicolson Method for the Advection-Diffusion EquationInvolving a Fractional Laplace Operator
Martin Nitiema , Thomas Tindano , Windjiré Some
We consider an advection-diffusion equation involving a fractional Laplace operator of order s 2 0; 1\f1=2g:. Using a combination of fractional left and right Riemann–Liouville derivatives of order 2s to approximate the fractional Laplace operator, we construct a numerical scheme using the Crank–Nicolson method. Using the Crank–Nicolson sche(...)
Crank–Nicolson method; fractional Laplace operator; fractional Riemann–Liouville derivatives; stability and convergence
ARTICLE
A HYBRID APPROACH BASED ON A NEW OUTRANKING HYPOTHESIS COMBINING THE AHP AND ELECTRE II METHODS FOR MULTI-CRITERIA DECISION-MAKING
OUEDRAOGO Nabonswendé Macaire, SAVADOGO Zoïnabo and GOUBA Elisée
Multi-criteria decision-making is crucial in many fields, as decision makers must evaluate a variety of criteria that are sometimes
contradictory. Among the methods widely used to structure and solve complex problems are the analytic hierarchy process (AHP) and the
ELECTRE II method (elimination and choices translating reality). However, e(...)
APHY-AHP-ELECTRE II, concordance-dominance, discordance dominance, weighting, thresholds, robustness.
ARTICLE
A two dimensional nonlinear space time mathematical analysis of fish and zooplankton dynamics considering the fishing effects in the ecosystem
Wendkouni Ouedraogo, Hamidou Ouedraogo, Ousmane Koutou, Boureima Sangare
We consider a reaction-diffusion model with homogeneous Neumann boundary conditions to describe fish and zooplankton dynamics. We also introduce two important elements: fishing and cannibalism effect in the dynamics using a non linear functional responses. In the mathematical analysis, global attractor, persistence conditions and the stability(...)
prey-predator system, non linear functional response, equilibrium stability, Hopf bifurcation and Turing instability, zooplankton-fish ecosystem.
ARTICLE
CONTROL OF SINGULAR DISTRIBUTED SYSTEMS BY CONTROLLABILITY: THE ILL-POSED BACKWARDS HEAT EQUATION.
Billy André Guel, Sadou TAO, and Elie Ouedraogo
To deal with the ill-posed backwards heat equation, we propose
the controllability method. The point of view adopted consists in
interpreting the state equation as an inverse problem that allows us
to obtain a decoupled and strong singular optimality system for the
optimal control-state pair. This further permits to propose an existence
c(...)
singular distributed systems, optimal control, ill-posed backwards heat equation, controllability, inverse problem.
ARTICLE
Optimal control analysis of a mathematical model of malaria and COVID-19 co-infection dynamics
Abou Bakari Diabaté, Boureima Sangaré, Ousmane Koutou
In this paper, we analyze a deterministic model of malaria and Corona Virus Disease 2019 co-infection within a homogeneous population. We first studied the single infection model of each disease and then the co-infection dynamics. We calculate the basic reproduction number of each model and study the existence and stability of the steady state(...)
Co-infection model; bifurcation; sensibility analysis; optimal strategies; numerical simulations
ARTICLE
Modeling and simulation of the spread of radicalization to terrorism: A theoretical and numerical analysis
Malicki Zorom, Mamadou ROUAMBA, Elisée GOUBA, Babacar LEYE, Mamadou DIOP, Abdou LAWANE GANA, Pascal ZONGO
In this study, we propose a mathematical model for terrorism dynamics by dividing the population into three compartments: (S) susceptible, (E) extremists, and (T) deradicalized. The model is formulated as a system of nonlinear ordinary differential equations, enabling the determination of the radicalization-free equilibrium, the basic reproduc(...)
Basic reproduction number, radicalization free equilibrium, endemic equilibrium, bifurcation analysis, sensitivity analysis
ARTICLE
On the Palindromic Complexity of Words by Substitution of Letter Power in Modulo-recurrent Words
K. Ernest Bognini, Moussa Barro and Boucaré Kientéga
Let us consider a modulo-recurrent word and an integer k ≥ 1. In steps of k, we substitute one letter of this word by a
power of letter. Then, we obtain a new family of words derived from modulo-recurrent words. After giving the expressions
of the classic complexity functions of these words, we give a necessary condition for a factor of the(...)
Sturmian words, modulo-recurrent, substitution, complexity function, palindrome
ARTICLE
ANALYSIS AND OPTIMAL CONTROL OF A FRACTIONAL TUBERCULOSIS MODEL
Ali TRAORE, Hamadoum DICKO, Rosaire OUEDRAOGO
A fractional model is developed to study the transmission dynamics of tu- berculosis disease. The use of a fractional model provides a memory effect and long-term dynamics often observed in chronic infectious diseases such as tuberculosis, which is charac- terized by a prolonged incubation period and risks of reactivation. The basic reproducti(...)
fractional order; optimal control; tuberculosis; sensitivity analysis
ARTICLE
Entropy solutions for nonlinear parabolic problems involving the generalized p(x)-Laplace operator and L1 data
Mohamed Badr Benboubker, Urbain TRAORE
Dans cet article, nous démontrons l’existence d’une solution d’entropie pour des équations paraboliques non linéaires avec des conditions aux limites de Neumann non homogènes et des données initiales dans L^1. À l’aide d’une technique de discrétisation en temps, nous analysons les questions d’existence, d’unicité et de stabilité. Le cadre fonc(...)
Nonlinear Parabolic problem, variable exponents, entropy solution, Neumann-type boundary conditions, semi-discretization.
ARTICLE
Construction of DNA codes using θ-skew cyclic codes over F4 + vF4.
Joël KABORE, Mohammed Elhassani CHARKANI
In this paper, we determine the structure of θ-skew cyclic codes over the ring R=F_4+v F_4, where v^2=v and θ is a non-trivial automorphism over F_4+v F_4. Using a correspondence between R and DNA 2-bases, we characterize θ-skew cyclic reversible DNA codes and θ-skew cyclic reversible-complement DNA codes over this ring. We also derive the Gra(...)
θ-skew cyclic codes, non-chain rings, Gray map, reversible codes, DNA codes.
ARTICLE
HOMOTOPY PERTURBATION METHOD (HPM), ADOMIAN DECOMPOSITION METHOD (ADM) AND COUPLING HPM AND PEM (PARAMETER-EXPANSION METHOD) FOR NONLINEAR OSCILLATOR WITH COORDINATE-DEPENDENT MASS
BAGAYOGO Moussa, MINOUNGOU Youssouf, NEBIE Abdoul Wassiha, PARE Youssouf
In this paper, we investigate a nonlinear oscillator with coordinatedependent mass. We derive approximate solutions for this oscillator using the Homotopy Perturbation Method (HPM), the Adomian Decomposition Method (ADM), and a coupled approach combining HPM with the Parameter-Expansion Method (PEM). The solutions obtained from each method are(...)
nonlinear oscillator, Homotopy Perturbation Method (HPM), Adomian Decomposition Method (ADM), PEM (Parameter-Expansion Method).