Publications (197)
ARTICLE
A mathematical model with a trophic chain predation based on the ODEs to describe fish and plankton dynamics
Hamidou Ouedraogo, Wendkouni Ouedraogo, and Boureima SangareThe aim of this paper is the formulation and the study of a prey-predator model
to describe fish and plankton population dynamics, with three developmental stages of the
fish population (larva, juvenile and adult). First, we develop a mathematical model based on
the ODEs, describing the...
ARTICLE
A Self-Diffusion Mathematical Model to Describe the Toxin Effect on the Zooplankton-Phytoplankton Dynamics
Ouedraogo, Hamidou; Ouedraogo, Wendkouni; Sangaré, BoureimaThe main goal of this work is the mathematical formulation, the analysis
and the numerical simulation of a prey-predator model by taking into account the
toxin produced by the phytoplankton species. The mathematical study of the model
leads us to have an idea on the existence of solution, the...
ARTICLE
Application of the SBA Method for Solving the Partial Differential Equation
Gires Dimitri NKAYA, Francis Bassono, Rasmané Yaro, BISSANGA GabrielThe nonlinear problem play a significant role in many diverse areas of science and technology. Many problem are gou-verned by partial differential equations, or by systems of partial differential equations. It is difficult to find their exactsolutions. In this paper, we use the Some Blaise Abbo...
ARTICLE
Contribution to the estimation by projection of the operator of a moving average with values in a Hilbert space
Armand Du Barry, V. KONANE, Dembo GadiagaThis paper is a contribution to the method of estimation by projection.
We revisited the work of Bosq and Turbillon [3]. First, we propose
extensions and simplied proofs of some of the results of the article
[3]. Secondly, we proposed and demonstrated results of convergence.
Finally, we...
ARTICLE
Weighted pseudo almost periodic and pseudo almost automorphic solutions of class r for some partial differential equations
Khalil Ezzinbi, Hamidou Toure, Issa ZabsonreThe aim of this work is to present new approach to study weighted pseudo almost periodic and 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...
ARTICLE
Mathematical modeling of malaria transmission global dynamics: taking into account the immature stages of the vectors
KOUTOU Ousmane, TRAORE Bakary, SANGARE BoureimaIn this paper we present a mathematical model of malaria transmission. The model is an autonomous system, constructed by considering two models: a model of vector population and a model of virus transmission. The threshold dynamics of each model is determined and a relation between them...
ARTICLE
A reaction diffusion model to describe the toxin effect on the fish-plankton population
Wendkouni Ouedraogo, Hamidou Ouedraogo, Boureima SangaréThis paper is aimed at the mathematical formulation, the analysis, and the numerical simulation of a prey-competitor-predator model by taking into account the toxin produced by the phytoplankton species. The mathematical study of the model leads us to have an idea on the existence of solution,...
ARTICLE
NON-LOCAL BOUNDARY CONDITIONS FOR NONLINEAR ELLIPTIC PROBLEMS WITH BOUNDED DATA AND GENERAL FUNCTIONS
STANISLAS OUARO AND SAFIMBA SOMAIn this article, we study the existence and uniqueness of solutions for nonlinear elliptic problems with non-local boundary conditions. In order to get the unique solution, we study first an auxiliary problem, for which we deduce useful a priori estimates. The study of the auxiliary problem...
ARTICLE
Entropy Solution to Nonlinear Elliptic Problem with Non-local Boundary Conditions and L1-data
OUARO Stanislas and SOMA SafimbaWe study a nonlinear elliptic problem with non-local boundary conditions and L1-data. We prove an existence and uniqueness result of an entropy solution.
ARTICLE
Weighted Stepanov-like pseudo almost periodic solutions of class r for some partial differential equations
Issa ZabsonréThe aim of this work is to present new approach to study weighted Stepanov-like pseudo almost periodic 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...
ARTICLE
Nonlinear elliptic problem involving non-local boundary conditions and variable exponent
Stanislas Ouaro and Safimba SomaWe study a nonlinear elliptic problem with non-local boundary conditions and variable exponent. We prove an existence and uniqueness result of weak solution to this problem with general maximal monotone graphs.
ARTICLE
Equations des algèbres Lie triple qui sont des algèbres train.
Joseph Bayara, Amidou Konkobo, Moussa OuattaraIn this paper, we consider equations of Lie triple algebras that are train algebras. We obtain two different types of equations depending on assuming the existence of an idempotent or a pseudo-idempotent.
In general Lie triple algebras are not power-associative. However we show that their...
ARTICLE
Préambule aux opérateurs Fourier intégraux: les opérateurs pseudo-différentiels
Catherine Ducourtioux, Marie Françoise OuedraogoDans ce travail, nous donnons une introduction aux opérateurs pseudodifférentiels en faisant une généralisation des opérateurs différentiels. Nous étendons ensuite ces opérations aux espaces de Sobolev puis aux espaces des distributions tempérées. Par la suite, nous étudions la...
ARTICLE
On nilpotency in nonassociative algebras
Côme Jean Antoine Béré, Marie Françoise Ouedraogo, Moussa OuattaraIf a non associative algebra A is right nilpotent (resp. left nilpotent) of degree n, then it is strongly nilpotent of degree less or equal to 4n^2 − 2n + 1.
ARTICLE
Controllability of nonlinear degenerate parabolic cascade systems
Mamadou BIRBA, Oumar TRAOREThis article studies of null controllability property of nonlinear coupled one dimensional degenerate parabolic equations. These equations form a cascade system, that is, the solution of the first equation acts as a control in the second equation and the control function acts only directly on...