Publications (459)
ARTICLE
On Skew Cyclic Reversible DNA Codes Over F4[v]/⟨v4 − v⟩
Joel KABORE, Mohammed Elhassani Charkani
In this paper, we study a specific class of skew cyclic codes over the ring F_4[v]/⟨v^4− v⟩ which is suitable for describing DNA codes over this ring. Using the Gray map between F_4[v]/⟨v^4− v⟩ and F_4^4(or equivalently DNA 4-bases), we describe reversible DNA codes and reversible-complement DNA codes over this ring.
Skew cyclic code, Gray map, reversible code, DNA code.
ARTICLE
EXTENSION OF THE REGIME METHOD TO GROUP DECISION-MAKING IN A Q-RUNG ORTHOPAIR FUZZY ENVIRONMENT
YOUNOUSSA SARE, ZOÏNABO SAVADOGO, ELISEE GOUBA
q-Rung orthopair fuzzy sets (qROFS) constitute a robust extension of Intuitionistic Fuzzy Sets
(IFS) and Pythagorean Fuzzy Sets (PyFS). They provide an advanced framework for handling complex
information in an uncertain environment. The REGIME method is an MCDM approach used to provide a
definitive ranking of alternatives. In the literature(...)
Method REGIME, MCGDM, q-rung orthopair fuzzy set, entropy, fuzzy environment
ARTICLE
On the study of cellular automata on modulo-recurrent words
Moussa Barro, K. Ernest Bognini and Boucaré Kientéga
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 w(...)
: cellular automata (CA), modulo-recurrent, Sturmian words, palindromic factor, complexity function.
ARTICLE
INFINITE MATRIX ASSOCIATED TO SEQUENCES
Mamy Laingo Nomenjanahary Rakotoarison, Dimbiniaina Ratovilebamboavison, Joël Kabore, Gérard Kientega, Fanja Rakotondrajao
In this paper, we study the Euler-Seidel matrices with coefficients and determine the associated Riordan matrix to a given matrix, if it does exist. Computation of the generating function of the final sequence is established by the associated Riordan matrix.
Euler-Seidel matrix, final sequence, generating functions, initial sequence, Riordan matrix
ARTICLE
Media campaigns, early diagnosis, isolation and treatment on bacterial meningitis outbreak prevention: A modeling study
Ousmane Koutou, Wendkouni Ouedraogo, Hamidou Ouedraogo, Komi Afassinou, Abou Bakari Diabate
Bacterial meningitis is a severe infection affecting the protective membranes of the brain and spinal cord, with rapidly worsening symptoms that can lead to life-threatening complications. This study presents an autonomous deterministic epidemic model, SIaIsMRS, to explore the dynamics of bacterial meningitis in a community implementing contro(...)
Mathematical analysis, optimal control, bacterial meningitis, early diagnosis, media coverage, numerical results
ARTICLE
Analysis of a nonlinear boundary value problem with p-Laplacian operator and Robin-type nonlinear boundary condition
MAMADOU BIRBA, AMIDOU TRAORE AND OUMAR TRAORE
In this paper, we study the existence of a solution of a nonlinear system involving the p-Laplace operator, a reaction
of the form μ|z|q z, a general nonlinearity f (z) with nonhomogeneous and nonlinear Robin-type boundary conditions. We
prove the existence and uniqueness of a weak solution to this problem by reformulating the system and app(...)
Nonlinear system, p-laplacian operator, Robin-type boundary conditions, Kakutani fixed point.
ARTICLE
Privileged Complexity of the ternary Thue-Morse word
Boucaré Kientéga, K. Ernest Bognini and Moussa Barro
In this paper, we focus on a new type of complexity of infinite words called privileged complexity. We apply this concept to the ternary Thue-Morse word. First, we present properties of the return words in the ternary Thue-Morse word. Then, we study the privileged words of this infinite word. Finally, we derive a recursive formula that allows(...)
Infinite words, Frist complete return word, Privileged word, Privileged complexity
ARTICLE
MULTIACTOR, MULTIDIMENSIONAL APPROACH INTEGRATING FUZZY LOGIC AND THE AHP METHODFORPRIORITIZING INTERVENTION AREAS IN A CRISIS CONTEXT (F-AHPD)
FREDERIC NIKIEMA, ZOINABOSAVADOGO, MIFIAMBASOMA3, SOMDOUDA SAWADOGO
BurkinaFasoisfacingagrowingterroristthreat, withmajorsocio-economicandsecurityimpacts.
This study proposes an innovative multi-actor, multidimensional classification approach to assess and rank
affected areas. The objective is to provide a robust decision-support tool for policymakers, humanitarian
organizations, and security forces to rigo(...)
words and phrases, terrorism, data uncertainty, fuzzy-AHP, multi-actor classification, security optimization
ARTICLE
A mathematical model study with crowley-Martin functional responses to describe fish and zooplankton dynamics
Wendkouni Ouedraogo, Hamidou Ouedraogo, Ousmane Koutou, Boureima Sangare
In this paper, we consider a reaction-diffusion model with homogeneous Neumann
boundary conditions to describe fish and zooplankton dynamics. This model incorporates
a complex Crowley-Martin functional responses. We also introduce two important
elements: fishing and cannibalism effect in the dynamics. In the mathematical
analysis, global a(...)
Population dynamics, fishing effort, prey-predator system, Crowley-Martin functional response, persistence, stability, Hopf bifurcation, turing instability, zooplankton and fish ecosystem.
ARTICLE
Copulas approach for modeling the stochastic dependence of three physicochemical components of groundwater in the province of Sissili (Burkina Faso)
Fabrice Ouoba ; Vini Yves Bernadin Loyara ; Sibiri Narcisse Dolemweogo and Diakarya Barro
This study aims to model the stochastic dependence between potassium (K+), iron (Fe2+), and ammonium (NH+ 4) concentrations in groundwater from the Sissili province in Burkina Faso. To achieve this, we rely on the Student, Frank, and H¨ usler–Reiss copulas to capture the full range of hydro-geochemical dependence structures. This statistical a(...)
: copulas; stochastic dependence; groundwater; modeling.
ARTICLE
Existence of solutions for nonlinear degenerate elliptic equations with L^{m}-data and Neumann boundary condition
Mohamed Badr Benboubker, Hayat Benkhaloub, Hassane Hjiajb, Stanislas Ouaro
In this paper, we consider the following homogenous Neumann elliptic problem
=f in Ω, on ∂Ω,
−div
(2)
NN
XX
− Di(a(x,u,∇u))+ i
i=1 XN
solutions in the sense of distributions for our elliptic problem in the anisotropic Sobolev spaces.
Anisotropic Sobolev spaces, Neumann boundary condition, nonlinear elliptic problem, solutions in the sense of distributions
ARTICLE
p(.)-Elliptic inclusion problem with natural growth term and Fourie type Boundary condition
I. Konaté, S. Ouaro
In this paper, we discuss the existence of renormalized and entropy solutions of nonlinear elliptic problems governed by the general p(.)-Leray-Lions type operator with a natural growth term subject to L1 data in the interior of the domain and Fourier type condition on the boundary. We first introduce a sequence of approximated prob- lems by r(...)
Nonlinear Elliptic Problems, Partial Differential Equations, Weak Solutions
ARTICLE
Multivalued nonlinear Dirichlet Boundary p(u)-Laplacian problem. Mem. Differ. Equ. Math. Phys
N. Sawadogo, S. Ouaro
We study the following nonlinear homogenous Dirichlet boundary p(u)-Laplacian problem β(u)−diva(x,u,∇u)∋f inΩ, u=0 on∂Ω.
The existence and partial uniqueness results of solutions for L1-data f are established
Variable exponent p(u)-Laplacian, Young measure, homogeneous Dirichlet boundary condition, bounded Radon diffuse measures, maximal monotone graph
ARTICLE
Multiple homoclinic solutions for the discrete $p(X)$-Laplacian problems of Kirchhoff type
Y. Ouedraogo, B. Kone and S. Ouaro
In this paper we consider the discrete anisotropic difference equation with variable exponent using critical point theory. The study of nonlinear difference equations has now attracted special attention as they have important applications in various research areas such as numerical analysis, computer science, mechanical engineering, cellular n(...)
Anisotropic difference equation; critical point theory; Mountain pass lemma; direct variational method
ARTICLE
Nonlinear discrete Neumann problem involving p(k)-Laplacian type operator
B. Moussa, I. Nyanquini, S. Ouaro
In this paper, we prove the existence and multiplicity of solutions for a discrete nonlinear Neumann problem involving a p(k)-Laplacian operator in a T-dimensional Banach space. The technical approach is based on critical point theory and variational methods
Discrete boundary value problem, multiple solutions, variational meth- ods, critical point theory, Neumann problem