Publications (372)
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
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
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
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
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
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
COMMUNICATION
A nonlinear reaction-diffusion mathematical model to described the toxin effect on phytoplankton-zooplankton-fish dynamics on the circular domain/Erasmus Staff Training Week/Murcia/ESPAGNE
Hamidou OUEDRAOGO
The main objective of this work is the mathematical formulation,
the analysis and the numerical simulation of spatio-temporal type
describing the toxin effect on fish-zooplankton-phytoplankton
dynamics on a circular domain
Our work based on a modified Leslie-Gower version and a
functional response of Holling type II.
The model is governe(...)
nternational offices, Management and Promotion
ARTICLE
Extension of the Compound Poisson Model via the Spearman Copula
Delwendé Abdoul-Kabir Kafando, Frédéric Béré, Victorien Konané, Pierre Clovis Nitiéma
In this paper, we consider an extension of the classical risk model. A tail dependence structure between claim amounts and inter-loss times with a Brownian disturbance is introduced via the Spearman copula in order to evaluate the Gerber-Shiu functions and the loss probabilities. Integro-differential equations are derived for the Gerber-Shiu f(...)
Gerber-Shiu functions, dependence, copula, integro-differential equation, Laplace transformation, probability of failure
ARTICLE
Optimal control analysis of a COVID-19 and Tuberculosis (TB) co-infection model with an imperfect vaccine for COVID-19
DIABATE Abou Bakari, SANGARE Boureima, KOUTOU Ousmane
This paper presents a co-infection mathematical model of COVID-19 and TB to study their synergistic dynamics. We first investigated the single infection models of each disease and then the co-infection dynamics of the two diseases. Indeed, we calculated the basic reproduction number of each model, and then we studied the existence and the stab(...)
Co-infection, COVID-19, TB, Basic reproduction numbers, Equilibrium points, Backward bifurcations, Sensibility analysis, Optimal control strategy, Numerical simulations
ARTICLE
Exponential Stability for Damped Shear Beam Model and New Facts Related to the Classical Timoshenko System With a Distributed Delay Term
Innocent Ouedraogo, Gilbert Bayili
We consider in this manuscript a Timoshenko type beam model with a distributed delay term. If the distributed delay term is small enough,we prove the global existence of solutions by using the Faedo-Galerkin approximations together with some energy estimates. Under suitable assumptions, we prove exponential stability of the solution. This resu(...)
Lyapunov,Timoshenkosystem,exponentialstability,Galerkin
ARTICLE
STABILITY OF A TIMOSHENKO SYSTEM WITH CONSTANT DELAY
Innocent Ouedraogo, Gilbert Bayili
Theaim of this work is to develop a detail analysis of a Timoshenko type beam model taking into account a delay. We prove the well-posedness and
regularity of solution, explained using the theory of the Faedo-Galerkin scheme. Namely, under a suitable choice of Lyapunov functional, exponential decay of
the whole energy holds.
Timoshenko system; exponential stability; delay; Fadeo-Galerkin method
ARTICLE
Global Stability for a Delay SIR Epidemic Model with General Incidence Function, Observers Design
Aboudramane Guiro*, Dramane Ouedraogo and Harouna Ouedraogo
In (Connell McCuskey, Nonlinear Anal RWA 11:3106–3109, 2010), the authors presented an SIR model of disease transmission with delay in a particular nonlinear incidence. In their work, they showed the global stability of the endemic equilibrium for the reproduction number R0 is greater than one. In this chapter, we reviewed on the same model wi(...)
Epidemic model, SIR, Delays, Global stability, Lyapunov function, Reproduction number, General incidence function, Observability, Observer, High gain