Publications (388)
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
ARTICLE
Skew-Constacyclic Codes Over F_q [v]/ ‹ v^q -v ›
Joël Kabore, Alexandre Fotue-Tabue, Kenza Guenda, Mohammed E. Charkani
In this paper, we investigate the algebraic structure of the
non-chain ring F_q [v]/ ‹ v^q -v › , followed by the description of its
group automorphisms to get the algebraic structure of codes and their
dual over this ring. Further, we explore the algebraic structure of
skew-constacyclic codes by showing that their images by a linear Gray(...)
non-chain ring, skew-constacyclic codes, Gray map, self-dual skew codes
ARTICLE
Statistical Modeling and Forecast of the Corona-Virus Disease (Covid-19) in Burkina Faso
VICTORIEN F. KONANE, Ali TRAORE
In this paper, we present and discuss a statistical modeling framework for the coronavirus COVID-19 epidemic in Burkina Faso. We give a detailed analysis of well-known models, the ARIMA and the Exponential Smoothing model.
The main purpose is to provide a prediction of the cumulative number of confirmed cases to help authorities to take bette(...)
COVID-19, ARIMA models, Exponential smoothing models, Forecasting
ARTICLE
Modeling the effects of contact tracing on COVID-19 transmission
Ali Traoré, Fourtoua Victorien Konané
In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The contact tracing-induced reproduction number Rq
and equilibrium for the model are determined and stabilities are examined. The global stabilities results are achieved by constructing Lyapunov functions. The contact tracing-induced reproduction numbe(...)
COVID-19, Mathematical model, Stability, Lyapunov function, Contact tracing
ARTICLE
Modeling the effects of contact tracing on COVID-19 transmission
Ali Traoré, Fourtoua Victorien Konané
In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The contact tracing-induced reproduction number Rq and equilibrium for the model are determined and stabilities are examined. The global stability results are achieved by constructing Lyapunov functions. The contact tracing-induced reproduction number Rq(...)
covid 19, mathematical model, stability, lyapunov function, contact tracing
ARTICLE
Mathematical Model of the Spread of the Coronavirus Disease 2019 (COVID-19) in Burkina Faso
A. Guiro, B. Koné, S. Ouaro
In this paper, we develop a mathematical model of the COVID-19 pandemic in Burkina Faso. We use real data from Burkina Faso National Health Commission against COVID-19 to predict the dynamic of the disease and also the cumulative number of reported cases. We use public policies in model in order to reduce the contact rate, this allows to show(...)
COVID-19, Statistics, Data, Exposed Person, Reported and Unreported Cases, Mathematical Model, Public Policies, Basic Reproduction Number, Prediction
ARTICLE
Mathematical analysis of mosquito population global dynamics using delayed-logistic growth
KOUTOU Ousmane, SANGARE Boureima, DIABATE Abou Bakari
Malaria is a major public health issue in many parts of the world, and the anopheles mosquitoes which drive
transmission are key targets for interventions. Consequently, a best understanding of mosquito populations
dynamics is necessary in the fight against the disease. Hence, in this paper we propose a delayed mathematical
model of the lif(...)
Mosquitoes population, delayed-logistic growth, malaria transmission, mathematical analysis