Publications (409)
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
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
Existence of renormalized solutions for some quasilinear elliptic Neumann problems
M.B. Benboubker, H. Hjiaj, I. Ibrango, S. Ouaro
This paper is devoted to study some nonlinear elliptic Neumann equations of the type
⎧⎩⎨⎪⎪Au+g(x,u,∇u)+|u|q(⋅)−2u=f(x,u,∇u)∑i=1Nai(x,u,∇u)⋅ni=0in Ω,on ∂Ω,
in the anisotropic variable exponent Sobolev spaces, where A is a Leray-Lions operator and g(x,u,∇u), f(x,u,∇u) are two Carathéodory functions that verify some growth conditions. We prove(...)
quasilinear elliptic equation; Neumann problem; existence
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
Anisotropic problem with non-local boundary conditions and measure data
A. Kaboré, S. Ouaro
We study a nonlinear anisotropic elliptic problem with non-local boundary conditions and measure data. We prove an existence and uniqueness result of entropy solution
nonlinear anisotropic elliptic problem; boundary conditions
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