Publications (460)
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
ARTICLE
General Solution of Linear Partial Differential Equations Modeling Homogeneous diffusion-convection-reaction Problems with Cauchy Initial Condition
Minoungou Youssouf, Bagayogo Moussa, Youssouf Pare
In this paper, we propose the general solution of di usion-convection-reaction homogeneous problems with condition initial of Cauchy, using the SBA numerical method. This method is based on the combination of the Adomian Decompositional Method(ADM), the successive approximations method and the Picard principle.
SBA method, Adomian Decompositional Method(ADM), homogeneous Diffusion-convection-reaction problem
ARTICLE
Elliptic problem involving non-local boundary conditions
Noureddine Igbida and Soma Safimba
In this paper, we study existence and uniqueness of a solution for a nonlinear elliptic problem subject to nonlocal boundary condition. Moreover, we prove the equivalence between this kind of problem and nonlinear problem with very large diffusion around the boundary.
Non-local boundary conditions Maximal monotone graph Leray–Lions operator
COMMUNICATION
Should You Consider Adware as Malware in Your Study?
Jun Gao, Li Li, Pingfan Kong, Tegawende F. Bissyande, Jacques Klein
Empirical validations of research approaches eventually require a curated ground truth. In studies related to Android malware, such a ground truth is built by leveraging Anti-Virus (AV) scanning reports which are often provided free through online services such as VirusTotal. Unfortunately, these reports do not offer precise information for ap(...)
Android , adware , malware
ARTICLE
Global dynamics of a seasonal mathematical model of schistosomiasis transmission with general incidence function
TRAORE Bakary, KOUTOU Ousmane, SANGARE Boureima
In this paper, we investigate a nonautonomous and an autonomous model of schistosomiasis transmission with a general incidence function. Firstly, we formulate the nonautonomous model by taking into account the effect of climate change on the transmission. Through rigorous analysis via theories and methods of dynamical systems, we show that the(...)
Schistosomiasis, Nonautonomous Model, General Incidence Function, Basic Reproduction Ratio, Uniform Persistence, Global Stability, Numerical Simulations
ARTICLE
Structural stability of p(x)-Laplace problems with Fourier type boundary condition
K. Kansié, S. Ouaro
We study the continuous dependence on coefficients of solutions of the nonlinear nonhomogeneous Fourier boundary value problems involving the p(x)-Laplace operator
generalized Lebesgue and Sobolev spaces; Leray-Lions operator; weak solution; continuous dependence; Fourier type boundary condition