Publications (388)
COMMUNICATION
Journées Scientifiques sur Mathematical Models in Evolutionary Biology
Hamidou OUEDRAOGO
Cette communication a pour objectif fondamental de présenter la dynamique de l’évolution d’une population de
poisson structurée en tenant en compte la bifurcation le mouvement de cross. Nous présentons la
construction et l’étude de modèles faiblement structurés, basés sur des systèmes d’EDO. Cette structuration en
taille de la population(...)
Population, prey-predator, bloom
COMMUNICATION
PDE and Probability for Biology – EDP et probabilités pour la biologie
Hamidou OUEDRAOGO
Cette communication que je propose a été faite lors des semaines scientifiques de l’Université Aix-Marseille dans le
CIRM tenue du 03 au 07 Février 2020. Nous avons présenté un système de réaction-diffusion pour modéliser la
dynamique spatio-temporelle de l’ensemble poisson-plancton soumis à une pression de la pêche dans un
environnement(...)
Phytoplankton, zooplankton, toxin
ARTICLE
A NEW ADOMIAN APPROACH FOR SOLVING PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS SECOND KIND OF FREDHOLM AND VOLTERRA
Abdoul Wassiha Nébié, Youssouf Paré and Rasmané Yaro
We propose a new approach based on the Adomian decomposition
method (ADM) to solve partial integro-differential equations. We
have successfully tested the method on Fredholm and Volterra’s
second species integro-differential equations.
to the Adomian method Fredholm’s and Volterra’s second species partial integro-differential equations
ARTICLE
The Kneser Property in α-norm for Nonlinear Differential Equations in Banach Space
Hamidou TOURE, Issa ZABSONRE
In this work, we establish that the set of integral solutions of some partial functional differential equations is connected in the space of continuous functions.
Mots clés non renseignés
ARTICLE
Nonlinear elliptic p(u)-Laplacian problem with Fourier boundary condition
S. Ouaro, N. Sawadogo
We study a nonlinear elliptic p(u)-Laplacian problem with Fourier boundary conditions and L1-data. The existence and uniqueness results of entropy solutions are established
p(u)-Laplacian; Fourier boundary condition, entropy solutions; existence and uniqueness of solutions
ARTICLE
Existence of solutions for some nonautonomous partial functional differential equations with state-dependent delay
Moussa El-KhalilL Kpoumie, Abdel Hamid Gamal Nsangou, Patrice Ndambomve, Issa Zabsonre and Salifou Mboutngam
The aim of this work is to prove the existence of mild solutions for some nondensely nonautonomous partial functional diferential equations with state-dependent delay in Banach spaces. We assume that the linear part is not necessarily densely deined and generates an evolution family. Our approach is based on a nonlinear alternative of Leray-Sc(...)
Mots clés non renseignés
ARTICLE
Optimal control of malaria transmission dynamics combining some usual strategies and an imperfect vaccine
KOUTOU Ousmane, SANGARE Boureima, TRAORE Bakary
This work is an extension of a previous publication. An optimal control
theory is applied to a model of malaria transmission dynamics to investigate
the control strategies for eliminating malaria using time dependent controls.
Four main efforts are considered including the treatment of infected humans,
the individual protection, vectors co(...)
mathematical modeling, malaria dynamics, optimal control, usual strategies, vaccination, Pontryagin’s Maximum Principle
ARTICLE
Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion
Hamidou Ouedraogo, Wendkouni Ouedraogo, Boureima Sangaré
In this paper we propose a nonlinear
reaction-diffusion system describing the interaction
between toxin-producing phytoplankton and fish
population. We analyze the effect of self- and
cross-diffusion on the dynamics of the system. The
existence, uniqueness and uniform boundedness of
solutions are established in the positive octant. The(...)
Pattern formation, self-diffusion, crossdiffusion, stability analysis, numerical simulations
ARTICLE
Weighted Stepanov-like pseudo almost automorphic solutions of class r for some partial differential equations
Hamidou Toure, Issa Zabsonre
The aim of this work is to study weighted Stepanov-like pseudo almost automorphic functions using the measure theory. We present a new concept of weighted ergodic functions which is more general than the classical one. Then we establish many interesting results on the functional space of such functions. We also study the existence and uniquene(...)
Mots clés non renseignés
ARTICLE
Bifurcation and stability Analysis in Complex Cross-Diffusion Mathematical Model of Phytoplankton-Fish Dynamics
OUEDRAOGO Hamidou, OUEDRAOGO Wendkouni and SANGARE Boureima ´ ∗
In this paper, we propose a nonlinear reaction-diffusion system describing the interaction
between toxin-producing phytoplankton and fish population. We analyze the effect of cross-diffusion on
the dynamics of the system. The mathematical study of the model leads us to have an idea on the existence
of a solution, the existence of equilibria(...)
Toxin effect; populations dynamics; predator-prey model; reaction-diffusion system; bifurcation; pattern formation.
ARTICLE
Nonlinear Neumann problems involving p(x)-Laplace operator and measure data
E. Nassouri, S. Ouaro, U. Traoré
In this paper we study the existence and uniqueness of entropy solution to the class of nonlinear p(⋅)-Laplace problems of the type div(Φ(∇u−Θ(u)))+|u|p(x)−2u+α(u)∋μ with μ a diffuse measure and a Neumann nonhomogeneous boundary conditions of the form Φ(∇(u)−Θ(u))⋅η+β(u)=g. The functional setting involves Lebesgue and Sobolev spaces with varia(...)
nonlinear elliptic; maximal monotone graph; Radon measure; entropy solution
ARTICLE
Structural stability for nonlinear Neumann boundary p(u)-Laplacian problem
S. Ouaro, N. Sawadogo
This paper is devoted to the study of nonlinear homogeneous Neumann boundary p(u)-Laplacian problem of the form
{b(u)−diva(x,u,∇u)=fa(x,u,∇u).η=0in Ωon ∂Ω,
where Ω is a smooth bounded open domain in ℝN, N≥3 and η the outer unit normal vector on ∂Ω. The existence and uniqueness results of weak solution and the structural stability result are(...)
variable exponent p(u)-Laplacian; Young measure; homogeneous Neumann boundary condition; continuous dependence; weak solution
ARTICLE
Derivations and Dimentionally Nilpotent Derivations in Lie Algebras
Abdoulaye DEMBEGA , Amidou KONKOBO, MOUSSA OUATTARA
In this paper, we first study derivations in non nilpotent Lie triple algebras. We determine the structure of derivation algebra according to whether it admits an idempotent or a pseudo-idempotent. We study the multiplicative structure of non nil dimensionally nilpotent Lie triple algebras. We show that when n=2 p+1 the adapted basis coincides(...)
Dimensionally nilpotent Lie triple algebra, pseudo-idempotent, Jordan algebra, ascending basis
ARTICLE
AN ANALYTICAL SOLUTION OF PERTURBED FISHER’S EQUATION USING HOMOTOPY PERTURBATION METHOD (HPM), REGULAR PERTURBATION METHOD (RPM) AND ADOMIAN DECOMPOSITION METHOD (ADM)
MOUSSA BAGAYOGO, YOUSSOUF MINOUNGOU, YOUSSOUF PARÉ
In this paper, Homotopy Perturbation Method (HPM), Regular PertubationMethod
(RPM) and Adomian decomposition Method (ADM) are applied to Fisher equation. Then, the
solution yielding the given initial conditions is gained. Finally, the solutions obtained by each
method are compared.
Key
Fisher equation, ,Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM), Adomian decomposition Method (ADM)
ARTICLE
Nonlinear parabolic capacity and renormalized solutions for PDEs with diffuse measure data and variable exponent
M. Abdellaoui, E. Azroul, S. Ouaro, U. Traoré
We extend the theory of capacity to generalized Sobolev spaces for the study of nonlinear parabolic equations. We introduce the definition and some properties of renormalized solutions and we show that diffuse measure can be decomposed in space and time. As consequence, we show the existence and uniqueness of renormalized solutions. The main t(...)
generalized Lebesgue-Sobolev spaces; nonlinear parabolic equations; p(⋅)-parabolic capacity; renormalized solution; measure data; electrorheological fluids