Publications (460)
ARTICLE
Multivalued anisotropic problem with Fourier boundary condition involving diffuse Radon measure data and variable exponents
I. Konaté, S. Ouaro
We study a nonlinear anisotropic elliptic problem under Fourier type boundary condition governed by a general anisotropic operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(⋅)-capacity. We prove an existence and uniqueness result of entropy or renormalized solution
nonlinear anisotropic elliptic problem; boundary value problem
ARTICLE
Mathematical model of malaria transmission dynamics with distributed delay and a wide class of nonlinear incidence rates
KOUTOU Ousmane, TRAORE Bakary, SANGARE Boureima
Generally, the infection process of most vector-borne diseases involves a latent period in both human hosts and vectors. With regards to other publications, Tian and Song have recently proposed an SIR-SI model to analyze the effects of the incubation period on a vector-borne disease with nonlinear transmission rate. But they were silent on the(...)
malaria transmission dynamics, delay differential equations, basic reproduction number, wide class of incidence rates, numerical simulations, limit cycles
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 Sangare
The 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 dynamics of the various classes for the fish populatio(...)
Populations dynamics, global stability, fishing effort, prey-predator model, ODEs system
ARTICLE
A Self-Diffusion Mathematical Model to Describe the Toxin Effect on the Zooplankton-Phytoplankton Dynamics
Ouedraogo, Hamidou; Ouedraogo, Wendkouni; Sangaré, Boureima
The 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 existence of equilibria and the
stability of th(...)
Mots clés non renseignés
ARTICLE
Application of the SBA Method for Solving the Partial Differential Equation
Gires Dimitri NKAYA, Francis Bassono, Rasmané Yaro, BISSANGA Gabriel
The 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 (SBA) method to find the exact solution of some w(...)
SBA method, wave-like equation
ARTICLE
Multivalued anisotropic problem with Neumann boundary condition involving diffuse Radon measure data and variable exponent
I. Konaté, S. Ouaro
We study a nonlinear anisotropic elliptic problem with homogeneous Neumann boundary condition governed by a general anisotropic operator with variable exponents and diffuse Radon measure data that is the Radon measure which does not charge the sets of zero p(⋅)-capacity. We firstly prove the existence of renormalized solutions. Secondly, we sh(...)
Neumann boundary; anisotropic Sobolev spaces; renormalized solution; entropy solution; maximal monotone graph; Radon diffuse measure; Marcinkiewicz spaces; p(⋅)-capacity
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 Gadiaga
This 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 simpli ed proofs of some of the results of the article
[3]. Secondly, we proposed and demonstrated results of convergence.
Finally, we apply the model on real data of the turnover of an i(...)
Mots clés non renseignés
ARTICLE
Multiplicity of solutions to discrete inclusions with the p(k)-Laplace Kirchhoff type equations
S. Ouaro, M. Zoungrana
This paper is concerned with the existence and multiplicity of solutions to discrete inclusions with an anisotropic discrete boundary value problem of p(k)-Laplace Kirchhoff type. Our technical approach is based on variational methods.
Kirchhoff type equation; multiple solutions; discrete inclusion; discrete boundary value problem; critical point; variational methods
ARTICLE
Weighted pseudo almost periodic and pseudo almost automorphic solutions of class r for some partial differential equations
Khalil Ezzinbi, Hamidou Toure, Issa Zabsonre
The 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 functional space of such functions. We study the exis(...)
Mots clés non renseignés
ARTICLE
SEIS model with treatment in an exponentially growing population
S. Ouaro, D. Ouédraogo
An SEIS deadly disease is introduced in an exponentially growing population. Without the treatment, three thresholds quantities R0, R1, R2 determine the dynamic of the epidemic and that of the population. With the treatment, three other threshold quantities R0T, R1T, R2T govern the dynamic of the epidemic and that of the population. We define(...)
SEIS model; threshold quantities; treatment effort; numerical simulations
ARTICLE
Multivalued anisotropic problem with Robin boundary condition involving diffuse Radon measure data and variable exponents
I. Konaté, S. Ouaro
In this paper we study a nonlinear anisotropic elliptic problem under Robin type boundary condition governed by a general anisotropic operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(⋅)-capacity. We prove an existence and uniqueness result of entropy or renormalized solution
nonlinear elliptic equation; renormalized solution; entropy solution
ARTICLE
Mathematical modeling of malaria transmission global dynamics: taking into account the immature stages of the vectors
KOUTOU Ousmane, TRAORE Bakary, SANGARE Boureima
In 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 established. Furthermore, the Lyapunov principle is appli(...)
Mosquitoes, Malaria transmission, Thresholds dynamics, Stability, Lyapunov principle
ARTICLE
Nonlinear multivalued problems with variable exponent and diffuse measure data in anisotropic space
I. Konaté, S. Ouaro
We study a nonlinear elliptic problem governed by a general anisotropic operator with variable exponents and Radon diffuse measure data. We start by proving the existence of a renormalized solution and we establish that the notion of renormalized solution is equivalent to the notion of entropy solution. Finally, we show the uniqueness of the e(...)
nonlinear elliptic equation; renormalized solution; entropy solution
ARTICLE
On a dual formulation for growing sandpile problem with mixed boundary conditions
N. Igbida, F. Karami, S. Ouaro, U. Traoré
In this work, we introduce and study a Prigozhin model for growing sandpile with mixed boundary conditions. For theoretical analysis we use semi-group theory and the numerical part is based on a duality approach.
sandpile; mixed boundary conditions; subdifferential operator; nonlinear semigroup dual formulation; numerical approximation
ARTICLE
A reaction diffusion model to describe the toxin effect on the fish-plankton population
Wendkouni Ouedraogo, Hamidou Ouedraogo, Boureima Sangaré
This 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, the existence of equilibria, and the stability of(...)
Prey-predator, toxin effect, pattern