Publications (479)
ARTICLE
Pseudo almost automorphic solutions of infinite class under the light of measure theory and applications
MOHAMADO KIEMA AND ISSA ZABSONRE
The aim of this work is to present new approach to study weighted pseudo almost automorphic functions with infinite delay using the measure theory. A new concept of weighted ergodic functions which is more general than the classical one is presented. Then many interesting results on the functional space of such functions is established. Also t(...)
Mots clés non renseignés
ARTICLE
NEW COLLECTIVE AGGREGATION FUNCTION OF ADDITIVE VALUE FUNCTIONS BY THE QUADRATIC MEAN
Zoïnabo Savadogo , Saïdou Ouedraogo , Frédéric Nikiema , Somdouda Sawadogo and Blaise Some
Group decision-making plays a crucial role in decision support. Indeed
today, it seems that a decision made by a single decision-maker hardly
reflects reality. Many methods have been dealt with in group decision
support. Generally, this is done through a collective aggregation
function which, through the judgments given by each decision-ma(...)
quadratic mean, aggregation function, collective
ARTICLE
Structural stability of nonlinear elliptic p(u)-Laplacian problem with Robin type boundary condition
S. Ouaro, N; Sawadogo
We study in this chapter the following nonlinear elliptic boundary value problem,
b(u)−diva(x,u,∇u)=fin Ω,a(x,u,∇u).η=−|u|r(x,u)−2uon ∂Ω,
where Ω is a bounded open domain in ℝN, N≥3, with smooth boundary ∂Ω. We prove the existence and uniqueness of weak solution for f∈L1(Ω) and structural stability result.
p(u)-Laplacian; Young measure; Robin boundary condition; existence and uniqueness
ARTICLE
A theoretical assessment of the effects of vectors genetics on a host-vector disease
Ali TRAORE
A host-vector disease model with insecticide resistance genes is proposed as a system of differential equations. The resistance-induced reproduction number Re is determined and qualitative stabilities analysis is provided. We use the model to study the effects of insecticide resistance of vectors on the spread of the disease. The resistance-in(...)
Host-vector diseases, genetics population, global stability, Lyapunov function
ARTICLE
Construction of a Class of Copula Using the Finite Difference Method
Remi Guillaume Bagré, Frédéric Béré, and Vini Yves Bernadin Loyara
The definition of a copula function and the study of its properties are at the same time not obvious tasks, as there is no general method for constructing them. In this paper, we present a method that allows us to obtain a class of copula as a solution to a boundary value problem. For this, we use the finite difference method which is a common(...)
Copules, EDP
ARTICLE
Construction of a Class of Copula Using the Finite Difference Method
Remi Guillaume Bagré, Frédéric Béré, and Vini Yves Bernadin Loyara
The definition of a copula function and the study of its properties are at the same time not obvious tasks, as there is no general method for constructing them. In this paper, we present a method that allows us to obtain a class of copula as a solution to a boundary value problem. For this, we use the finite difference method which is a common(...)
EDP, Copules
ARTICLE
COMPARISON OF THREE NUMERICAL ANALYSIS METHODS ON A LINEAR SECOND KIND FREDHOLM INTEGRO-DIFFERENTIAL EQUATION
Ouedraogo Seny, Bassono Francis et Rasmané Yaro
In the paper, we are interested in the comparison on numerical solutions of an integro-differential Fredholm equation of the second kind obtained by applying three methods of numerical analysis: the constant method, perturbation method and Adomian method
integro-differential Fredholm equation of the second kind, constant method, perturbation method, Adomian method
ARTICLE
Mathematical modelling of the evolution dynamics of the coronavirus disease 2019 (COVID-19) in Burkina Faso.
A. Guiro, B. Koné, S. Ouaro
In this paper, we develop a compartmental model of the COVID-19 epidemic in Burkina Faso by taking into account the compartments of hospitalized, severely hospitalized patients and dead persons. The model exhibits the traditional threshold behavior. We prove that when the basic reproduction number is less than one, the disease-free equilibrium(...)
COVID-19; statistics; data; reported and unreported cases; mathematical model; reproduction number; stability; public policies; basic reproduction number; contact function; prediction
ARTICLE
Comparison of the Adomian decomposition method and regular perturbation method on non linear equations second kind of Volterra.
Rasmané Yaro, Bakari Abbo, Francis Bassono, Youssouf Paré
In the paper, we study convergence of Adomian decomposition method applied to second kind Volterra general integral and show that this method and regular perturbation method converges to the same solution.
Adomian decomposition method, regular perturbation method, Volterra integral equation second kind
ARTICLE
Weak solutions for anisotropic nonlinear discrete Dirichlet boundary value problems in a two-dimensional Hilbert space
I. Ibrango, B. Koné, A. Guiro, S. Ouaro
Using a minimization method we study the existence of weak solutions for a family of nonlinear discrete Dirichlet boundary value problems where the solution lies in a discrete (T1×T2)-Hilbert space. The originality of this work is the study done on a two-dimensional Hilbert space
discrete boundary value problem; critical point; weak solution; two-dimensional discrete Hilbert space; electrorheological fluids
ARTICLE
A mathematical analysis of Hopf-bifurcation in a prey-predator model with nonlinear functional response
Savadogo, Assane; Sangaré, Boureima; Ouedraogo, Hamidou
n this paper, our aim is mathematical analysis and numerical simulation of a
prey-predator model to describe the effect of predation between prey and predator
with nonlinear functional response. First, we develop results concerning the
boundedness, the existence and uniqueness of the solution. Furthermore, the
Lyapunov principle and the Ro(...)
Prey-predator system; Hopf-bifurcation; Global stability; Numerical simulations
ARTICLE
Stepanov-like pseudo almost periodic solutions of infinite class under the light of measure theory
Issa ZABSONRE, Djokata VOTSIA
The aim of this work is to study weighted Stepanov-like pseudo almost periodic functions with infinite delay 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 exist(...)
Mots clés non renseignés
ARTICLE
Stepanov-like pseudo almost automorphic solutions of infinite class under the light of measure theory delay
Issa ZABSONRE, Djokata VOTSIA
The aim of this work is to study weighted Stepanov-like pseudo almost automorphic functions with infinite delay 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 space of such functions. We also study the existence an(...)
Mots clés non renseignés
ARTICLE
Structural stability for nonlinear 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 of weak solutions and the structural stability result are established.
p(u)-Laplacian; boundary condition; existence; uniqueness
ARTICLE
Comparative Numerical Study of SBA (Som´e Blaise-Abbo) Method and Homotopy Perturbation Method (HPM) on Biomathematical Models Type Lotka-Volterra
Bakari ABBO, BAGAYOGO Moussa, MINOUNGOU Youssouf, Youssouf PARE
In this work the Homotopy Perturbation Method (HPM) is used to find an exact or approximate solutions of Lotka-Volterra models. Then we compare the HPM solution with the solution given by SBA (Som´e Blaise Abbo) method.
Lotka-Volterra models, Homotopy Perturbation Method (HPM), SBA (Some Blaise Abbo) method