Publications (223)
ARTICLE
Exact solution of a fractional model of the dynamics of two competing prey-predator population using the SBA numerical method
Bationo Jérémie Yiyuréboula, Bassono Francis
We use the SBA numerical method by applying Picard's principle for solving a system of fractional equations. We first state the convergence of the SBA algorithm before proceeding to the search for possible solution. A graphical representation of the solution for different values of the perturbation parameter and fractional parameter allows the(...)
dynamique de population, proies-predacteurs, equations fractionairres
ARTICLE
Global Properties of a Delayed Vector‐borne Disease Model with Partial Protection of Susceptible Humans
OUEDRAOGO Harouna, TRAORE Ali
A delayed vector-borne disease model is formulated to investigate the effect of a partial protection of the human population on the epidemic extinction. This model depicts the situation of the self protection of the population or protection conducted by a government when an epidemic outbreak occurs. The global properties of the model are compl(...)
Delay · Mathematical model · Vector-borne disease · Protection · Stability · Numerical simulations
ARTICLE
Exponential stability for coupled Lameé system with a fractional derivative time Delay.
Noureddine Taouaf, Akram Ben Aissa et Gilbert Bayili
We develop a detailed analysis for a coupled Lamé system with fractional time delay. We show by using a semigroup approach and the well-known Dafermos auxiliary variable, that the system is well-posed. Moreover, we analyze stability issue for the considered system. Namely, under a suitable choice of Lyapunov functional, exponential decay of th(...)
wave equation, coupled system, Lyapunov function
ARTICLE
Local existence and regularity of solutions for some second order differential equation with infinite delay
MICAILOU NAPO, MOHAMADO KIEMA, AND ISSA ZABSONRE
In this work, we study the existence and regularity of solutions for some second order di erential equations with in nite delay in Banach spaces. We suppose that the undelayed part admits a cosine operator in the sense given
by Da Prato and Giusi, [ G. Da Prato and E. Giusi, Una caratterizzazione dei generatori di funzioni coseno astratte, Bo(...)
Mots clés non renseignés
ARTICLE
Multiple solutions of a discrete nonlinear boundary value problem involving p(k)-Laplace Kirchhoff type operator
Moussa Brahim, Nyanquini Ismaël, Ouaro Stanislas
In this article, we prove the existence of at least one or two nontrivial solutions of a discrete nonlinear boundary value problem of p(k)-Laplace Kirchhoff type in a finite dimensional Banach space. Our approach is based on variational methods and on critical point theory.
Mots clés non renseignés
ARTICLE
Global Properties of a Delayed Vector‑borne Disease Model with Partial Protection of Susceptible Humans
OUEDRAOGO Harouna, TRAORE Ali
A delayed vector-borne disease model is formulated to investigate the effect of a partial protection of the human population on the epidemic extinction. This model depicts the situation of the self protection of the population or protection conducted by a government when an epidemic outbreak occurs. The global properties of the model are co(...)
Delay · Mathematical model · Vector-borne disease · Protection · Stability · Numerical simulations
ARTICLE
Global Properties of a Delayed Vector‑borne Disease Model with Partial Protection of Susceptible Humans
OUEDRAOGO Harouna, TRAORE Ali
A delayed vector-borne disease model is formulated to investigate the effect of a partial protection of the human population on the epidemic extinction. This model depicts the situation of the self protection of the population or protection conducted by a government when an epidemic outbreak occurs. The global properties of the model are compl(...)
Delay · Mathematical model · Vector-borne disease · Protection · Stability · Numerical simulations
ARTICLE
Existence, Regularity, and Stability in the α-Norm for Some Neutral Partial Functional Differential Equations in Fading Memory Spaces
Khalil Ezzinbi, Bila Adolphe Kyelem, Stanislas Ouaro
Theaimofthischapteristostudytheregularityandthestabilityinthe.α- norm for neutral partial functional differential equations in fading memory spaces. We assume that a linear part is densely defined and generates an analytic semigroup. The delayed part is assumed to be Lipschitzian. For illustration, we provide an example for some reaction–diffu(...)
Mots clés non renseignés
ARTICLE
Discrete Potential Boundary-Value Problems of Kirchhoff Type
Dianda Abdoul Aziz Kalifa, Ouaro Stanislas
In this chapter, we prove the existence of solutions for some discrete nonlinear difference equations of Kirchhoff type subjected to a potential boundary- value condition. We make use of a variational technique that relies on Szulkin’s critical point theory, which ensures the existence of solutions by ground state and mountain pass methods.
Mots clés non renseignés
ARTICLE
Structural Stability of p(x)-Laplace Problems with Robin-Type Boundary Condition
106- Kansie Kpè, Ouaro Stanislas
In this chapter, a continuous dependence result on coefficients of solu- tions of the nonlinear nonhomogeneous Robin boundary-value problems involving the .p(x)-Laplace operator is established
Mots clés non renseignés
ARTICLE
Existence of Local and Maximal Mild Solutions for Some Non-autonomous Functional Differential Equation with Finite Delay
Khalil Ezzinbi, Bila Adolphe Kyelem, Stanislas Ouaro
This chapter is devoted to the study of the existence results of local
and maximal solutions on the one hand and the existence and uniqueness results
of mild solutions on the second hand, for the non-autonomous evolution equation
d
withfinitedelay.dtu(t)=A(t)u(t)+f(t,ut), t∈[0,T],subjectedtotheinitial
datum .u0 = φ, where .T 0 is some po(...)
Mots clés non renseignés
ARTICLE
STABILITY OF A TIMOSHENKO SYSTEMWITH CONSTANT DELAY
Innocent OUEDRAOGO, Gilbert BAYILI
The aim of this work is to develop a detail analysis of a Timoshenkotype beam model taking into account a delay. We prove the well-posedness andregularity of solution, explained using the theory of the Faedo-Galerkin scheme.Namely, under a suitable choice of Lyapunov functional, exponential decay ofthe whole energy holds
Timoshenko system; exponential stability; delay;, Fadeo-Galerkin Method
ARTICLE
Choix d’un site favorable pour la production d’aliments biologiques à l’aide de la méthode ELECTRE II
Koumbèbarè KAMBIRE1 , Zoïnabo SAVADOGO , Frédéric NIKIEMA
Le thème de cet article s’inscrit dans le cadre du choix d’un site favorable à la
production d’aliments biologiques. Consommer bio implique que nous devons
produire bio en tenant compte du choix du site. Dans notre travail, nous avons donc
considéré cinq sites évalués par trois acteurs sur la base de quatre critères. La méthode
d’évalu(...)
Site, décision, évaluation, critère, décideur, agrégation
ARTICLE
Analysis of the deterministic and stochastic epidemic models of filariasis
KONANE Fourtoua Victorien; SAWADOGO Ragnimwendé
This article proposes two epidemic models : deterministic and stochastic models of Lymphatic filariasis. For the deterministic model, the basic reproduction number is calculated, the disease- free equilibrium of the model is determined and the stability analysed. If the basic reproduction number is less than one, by using the theorem of Varga(...)
Lymphatic Filariasis;, Itô’s formula, Extinction, Persistence in the mean
ARTICLE
MATHEMATICAL ANALYSIS OF HEPATITIS B TRANSMISSION MODEL.
OUEDRAOGO Boukary, ZOROM Malicki, GOUBA Elisée
In this article, we present the transmission dynamics of the acute and chronic hepatitis B epidemic problem. To control the spread of hepatitis in a community, we first develop a mathematical model for the transmission of the virus of hepatitis B. After framing the mathematical model, we show the existence and uniqueness of the
solution, the(...)
mathematical modeling, basic reproduction number, stability, numerical simulation, SEIR model