Publications (468)
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
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.