Publications (197)
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
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(...)
EDP, Copules
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
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
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
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
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
ARTICLE
ABOUT EXACT SOLUTION OF SOME NON LINEAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS
Francis Bassono, Yaro Rasmane, Bakari Abbo, Joseph Bonazebi Yindoula, Gires Dimitri Nkaya, Gabriel Bissanga
Data on solving of nonlinear integro-differential equations using Laplac-SBA method are scarce. The objective of this paper is to dretermine exact solution of nonlinear2 dimensionnal Volterra-Fredholm equation by this method. First, SBA method and Laplace-SBA method are described. Second, three nonlinear Volterra-Fredholm integro-differential(...)
PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS, Volterra-Fredholm equation, SBA method, Laplace-SBA method
ARTICLE
Solving Some Derivative Equations Fractional Order Nonlinear Partials Using the Some Blaise Abbo Method
Abdoul wassiha NEBIE, Frédéric BERE, Bakari ABBO3, Youssouf PARE
In this paper, we propose the solution of some nonlinear partial differential equations of fractional order that modeled
diffusion, convection and reaction problems. For the solution of these equations we will use the SBA method which is a
method based on the combination of the Adomian Decomposition Method (ADM), the Picard’s principle and t(...)
nonlinear time-fractional partial equation, Caputo fractional derivative
ARTICLE
Markov Modeling of Battery Cell Behavior Taking in account Pulsed Discharge Recovery
Konane, V. F.
In this work, we modeled the behavior of a battery. After having formulated a Markovian model, we evaluated the delivered capacity as well as the gained capacity. We, likewise, evaluated the mean number of pulses and studied the asymptotic behavior and the variance of this mean number. As a last resort, we introduced an extension of the Markov(...)
Battery, Markov model, Gained capacity, Recovery mechanism
ARTICLE
Mathematical analysis of a fish-plankton eco-epidemiological system
Assane Savadogo 1 , Hamidou Ouedraogo 2 , Boureima Sangare´ 2 ,Wendkouni Ouedraogo 3
In this paper, we have formulated and analyzed a mathematical model describing the dynamics of the phytoplankton producing toxin and the fish population by using an ordinary differential
equations system. The phytoplankton population is divided into two groups, namely infected phytoplankton and susceptible phytoplankton. We aim to analyze t(...)
susceptible phytoplankton, basic reproduction ratio, fish, global stability, viral, infection
ARTICLE
ZIV-LEMPEL AND CROCHEMORE FACTORIZATIONS OF THE GENERALIZED PERIOD-DOUBLING WORD
K. Ernest Bognini, Idrissa Kaboré, Boucaré Kientéga
In this paper, we study the period-doubling word Pq over Aq, qgeq 2. Some combinatorial properties of Pq are established. The Ziv-Lempelfactorization and the Crochemore factorization of Pq are also given.
infinite word, substitution, factor, palindrome, factorization, period-doubling word