Publications (199)
ARTICLE
On exponential stability of mild solution of a stochastic integrodifferential equation in a complex Hilbert space
Wahabo BAGUIAN; Victorien KONANE; Claude YAMEOGO
In this work, we consider a system of stochastic integrodifferential
equations in a complex Hilbert space. We first establish the existence
and uniqueness of mild solutions for equation (1) under non-Lipschitz
conditions. Then we show under certain assumptions that the found
mild solution is exponentially stable on average of order n. Note(...)
Exponential stability, Hilbert Space, analytical semigroups, analytical resolving operator, Stochastic Integrodifferential Equation, mild solution
ARTICLE
Dynamics of a SVEIR Epidemic Model with a Delay in Diagnosis in a Changing Environment
Hamadoum Dicko, Ali Traoré, Désiré Ouedraogo
SVEIR epidemic model with a delay in diagnosis is studied in a constant and variable environment. The mathematical analysis shows that the dynamics of the model in the constant environment are completely determined by the magnitude of the delay-induced reproduction number Rα. We established that if Rα<1, the disease-free equilibrium is globall(...)
sensitivity, delays in diagnosis, changing environment, Lyapunov function
ARTICLE
Kneser property for some partial functional differential equations with infinite delay in Banach spaces
Issa Zabsonre
In this work, using integrated semigroup theory, we establish that the set consisting of the integral solutions of some partial functional differential equations is connected in the space of continuous functions.
Integrated semigroup, Hille–Yosida condition, resolvent operator, delay functional differential equations
ARTICLE
New Results on the Asymptotic Behaviour of a Stochastic SEI Model of Lymphatic Filariasis
Ragnimwendé Sawadogo, Fourtoua Victorien Konané
Te goal of this article is to examine a new stochastic epidemic model for lymphatic flariasis, susceptible-exposed-infected (SEI).Like other diseases, the spread of lymphatic flariasis is subject to a degree of randomness due to fuctuations in the naturalenvironment. Tis provides us with the opportunity to formulate a mathematical model of lym(...)
Lymphatic Filariasis, Asymptotic behaviour, SEI Model
ARTICLE
Stochastic Model of Dengue : Analysing the Probability of Extinction and LLN
Ragnimwendé SAWADOGO, Fourtoua Victorien KONANE, Wahabo BAGUIAN
Dans cet article, nous développons et analysons un modèle de chaîne de Markov en temps continu (CTMC) pour étudier la résurgence de la dengue. Nous explorons également le comportement asymptotique en grande population du modèle probabiliste de la dengue en utilisant la Loi des Grands Nombres (LGN). Dans un premier temps, nous calculons et esti(...)
Dengue, Chaîne de Markov, probabilité d'extinction, Lois des Grands Nombres, processus de branchement
ARTICLE
HOMOTOPY PERTURBATION METHOD TO SOLVE DUFFING-VAN DER POL EQUATION
BAGAYOGO Moussa MINOUNGOU Youssouf NEBIE Abdoul Wassiha PARE Youssouf
In this paper, the Homotopy Perturbation Method (HPM) and the Regular Perturbation Method (RPM) are used to study Duffing-Vander Pol equation. Then we compare the solutions obtained by these two methods.
Duffing-Van der Pol equation, homotopy perturbation method, regular perturbation method
ARTICLE
APPROXIMATED SOLUTIONS OF THE HOMOGENEOUS LINEAR FRACTIONAL DIFFUSION-CONVECTION-REACTION EQUATION
Bamogo Hamadou:, Nebie Abdoul Wassiha, Francis Bassono, Minougou Youssouf and Bagayogo Moussa
Our work focused on solving a homogeneous linear fractional diffusion, diffusion-convection and diffusion-convection-reaction model with various initial conditions and appropriate parameters. We used the Adomian decomposition method (ADM) to find exact or approximate solutions
diffusion, convection, reaction, homogeneous
ARTICLE
ENTROPY SOLUTION OF NONLINEAR INTEGRO- DIFFERENTIAL EQUATIONS WITH DIFFUSE MEASURE DATA
SAFIMBA SOMA and MOHAMED BANCE
Given a parabolic cylinder QT = Ω × (0, T ), where Ω is a bounded domain of RN , we consider the nonlinear integro-differential parabolic problems with
Dirichlet boundary values of the type ∂t(k∗(b(v)−b(v0)))−div(a(x,Dv)+F(v))=μ in QT,
where b is a non-decreasing C 0 - function, kernel k belongs to the large class of PC kernels and μ is a di(...)
fractional time derivative, nonlinear Volterra equation, nonlinear parabolic equations, entropy solution, diffuse measures
ARTICLE
The Cauchy problem for the minimal surface equation
BELLA Boureima, KABORE Bruno, LY Ibrahim
We solve a Cauchy problem for a nonlinear elliptic equation using variational methods.
nonlinear PDE, Cauchy problem, variational problems
ARTICLE
THE IMPACT OF VACCINATION AND ANTIVIRAL TREATMENT ON THE TRANSMISSION OF HCV INFECTION
Bamogo Hamadou, Bationo Jérémie Yiyuréboula, Bassono Francis and Nebie Abdoul Wassiha
We developed a VSEACTR model for the impact and antiviral treatment of HCV. To do this, we drew a diagram of the model to obtain a system of nonlinear fractional differential equations. We calculated the base reproduction rate R0 and ran a numerical simulation for several values of the key vaccination factor, that is to say the parameter y. Th(...)
hepatitis C virus (HCV)
ARTICLE
Local Existence and Regularity of Solutions in α-norm for Some Second Order Partial Neutral Functional Differential Equations with Infinite Delay
Djendode Mbainadji and Issa Zabsonre
This work examines the existence and regularity of solutions in the alpha-norm for second order partial neutral functional differential equations with infinite delay in Banach spaces. To establish the local existence of solutions, we use the cosine families theory and Schauder’s fixed point theorem. We also provide sufficient conditions to ens(...)
Mots clés non renseignés
ARTICLE
The existence of three positive solutions of non homogeneous singular Kirchhoff problems
Noufou RABO, Stanislas OUARO
In the present paper, we establish two results of the existence of three solutions for a quasilinear problem involving singular (of the type u^{−δ}) and non- local terms. The first concern the case where δ 0 in the singular term whereas the second present a strongly-singular nonlinearity (δ 1).
Non-local Kirchhoff problems, Strongly-singular nonlinearity
ARTICLE
STABILITY FOR SHEAR BEAM MODEL AND NEWFACTS RELATED TO THE CLASSICALTIMOSHENKO SYSTEM WITH VARIABLE DELAY
Innocent OUEDRAOGO, Gilbert BAYILI
In this paper we study a Timoshenko type beam model with a variable delay. It is mainlyabout, on the one hand, a study of the existence and uniqueness of the solution and on the otherhand, to present a study of exponential stability of the obtained solution. The introduction of thevariable delay term is the added value brought by this work.
Timoshenko system, Exponential stability, Faedo Galerkin Method, Time delay
ARTICLE
Mathematical analysis and optimal control of dengue fever epidemic model
YODA Yacouba, OUEDRAOGO Harouna , OUEDRAOGO Dramane and GUIRO Aboudramane
In this article, we are working on an SEIR-SI type model for dengue disease in order to
better observe the dynamics of infection in human beings. We calculate the basic
reproduction number R0 and determine the equilibrium points. We then show the
existence of global stability in each of the different states depending on the value of
R0(...)
Mots clés non renseignés
ARTICLE
Polynomial stabilization of the wave equation with a time varying delay term in the dynamical control.
Désiré Saba, Bayili Gilbert, Serge Nicaise
We consider the one-dimensional wave equation with a time-varying delay term in the dynamical control. Under suitable assumptions, we show the well posedness of the problem. These results are obtained by using semi-group theory. Combining the multiplier method with a non linear integral inequality, a rational energy decay result of the system(...)
Dynamical control Stability, Time varying delay