Publications (460)
ARTICLE
Structural stability of p(x)-Laplace kind problems with Neumann type boundary condition.
K. Kansié, S. Ouaro
We study the continuous dependence on coefficients of solutions of the nonlinear homogeneous Neumann boundary value problems involving the p(x)-Laplace operator
p(x)-Laplacian; Neumann problem; dependence of solutions on the coefficients
ARTICLE
Same decay rate of second order evolution equations with or without delay.
Gilbert Bayili ; Akram Ben Aissa; Serge Nicaise
We consider abstract second order evolution equations with unbounded feedback with delay. If the delay term is small enough, we rigorously prove the fact that the system with delay has the same decay rate than the one without delay. Some old and new results easily follow.
Second order evolution equations, Wave equations, Delay Stabilization
ARTICLE
A global mathematical model of malaria transmission dynamics with structured mosquito population and temperature variations
TRAORE Bakary, KOUTOU Ousmane, SANGARE Boureima
In this paper, a mathematical model of malaria transmission which takes into account the four distinct mosquito metamorphic stages is presented. The model is formulated thanks to the coupling of two sub-models, namely the model of mosquito population and the model of malaria parasite transmission due to the interaction between mosquitoes and h(...)
Malaria transmission, Basic reproduction ratio, Vector reproduction ratio, Mosquito population, Temperature variations, Global stability
ARTICLE
Existence and regularity of solutions in α-norm for some partial functional integrodifferential equations in banach Spaces
Issa Zabsonre, Djendode Mbainadji
In this work, we study the existence and regularity of solutions in α-norm for some partial functional integrodifferential equations in Banach spaces. We suppose that the undelayed part admits a resolvent operator, the delayed part is assumed to be locally lipschitz. Firstly, we show the existence of mild solutions. Secondly, we give sufficien(...)
Mots clés non renseignés
ARTICLE
CROSS AND SELF-DIFFUSION MATHEMATICAL MODEL WITH NONLINEAR FUNCTIONAL RESPONSE FOR PLANKTON DYNAMICS
HAMIDOU OUEDRAOGO, BOUREIMA SANGARE AND WENDKOUNI OUEDRAOGO
The aim of this paper is to show with a functional Beddington-DeAngelis response, that cross-diffusion plays an important role in the phenomenon of toxin-productionphytoplankton (TPP) in the dynamics of zooplankton and phytoplankton system. The
demonstration tools are mainly based on the theory of fixed point indices and analytical techniq(...)
Toxin effect; reaction-diffusion system; index theory; pattern formation
ARTICLE
Analysis of a vector-borne disease model with human and vectors immigration
Ali Traoré
We study the stability analysis of a vector-borne disease model. A wind-borne long- distance immigration of vectors and human immigration are considered. We assume a nonlinear incidence function including mass action and saturating incidence as special cases. There is no disease-free equilibrium and therefore no basic reproduction number. The(...)
Vector-borne diseases, Immigration, Global stability, Lyapunov function
ARTICLE
Nonlinear parabolic problem with variable exponent and measure data
S. Ouaro, U. traoré
In this paper we prove the existence and uniqueness of renormalized solution to nonlinear parabolic equations with variable exponent and measure data. The functional setting involves Lebesgue and Sobolev spaces with variable exponent.
p(⋅)-parabolic capacity; existence and uniqueness of a renormalized solution
ARTICLE
A mathematical model of malaria transmission dynamics with general incidence function and maturation delay in a periodic environment
TRAORE Bakary, KOUTOU Ousmane, SANGARE Boureima
In this paper, we investigate a mathematical model of malaria transmission dynamics with maturation delay of a vector population in a periodic environment. The incidence rate between vector and human hosts is modeled by a general nonlinear incidence function which satisfies a set of conditions. Thus, the model is formulated
as a system of re(...)
Malaria transmission, delay differential equations, basic reproduction number, numerical simulations, periodic environment, general incidence function
ARTICLE
Existence and regularity of solutions for some nonlinear second order differential equation in banach spaces
Issa Zabsonre and Micailou Napo
In this work, we study the existence and regularity of solutions for some nonlinear second order differential equation. The delayed part is assumed to be locally lipschitz. Firstly, we show the existence of the mild solutions. Secondly, we give sufficiently conditions ensuring the existence of strict solutions.
Mots clés non renseignés
ARTICLE
Renormalized solutions for p(x)-Laplacian equation with Neumann nonhomogeneous boundary condition
M.B. Benboubker, E. Nassouri, S. Ouaro, U. Traoré
In this work, we study the existence of at least one renormalized solution for a p(⋅)-Laplacian equation associated with a maximal monotone operator and a nonlinear Neumann boundary condition. The functional setting involves Lebesgue and Sobolev spaces with variable exponent
p(⋅)-Laplacian; maximal monotone operator; Neumann boundary condition; existence of a renormalized solution; generalized Sobolev spaces
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