Publications (197)
ARTICLE
On exponential stability of mild solution of a stochastic integrodifferential equation in a complex Hilbert space
Wahabo BAGUIAN; Victorien KONANE; Claude YAMEOGOIn 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...
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New Results on the Asymptotic Behaviour of a Stochastic SEI Model of Lymphatic Filariasis
Ragnimwendé Sawadogo, Fourtoua Victorien KonanéTe 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...
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Stochastic Model of Dengue : Analysing the Probability of Extinction and LLN
Ragnimwendé SAWADOGO, Fourtoua Victorien KONANE, Wahabo BAGUIANDans 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...
ARTICLE
HOMOTOPY PERTURBATION METHOD TO SOLVE DUFFING-VAN DER POL EQUATION
BAGAYOGO Moussa MINOUNGOU Youssouf NEBIE Abdoul Wassiha PARE YoussoufIn 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.
ARTICLE
APPROXIMATED SOLUTIONS OF THE HOMOGENEOUS LINEAR FRACTIONAL DIFFUSION-CONVECTION-REACTION EQUATION
Bamogo Hamadou:, Nebie Abdoul Wassiha, Francis Bassono, Minougou Youssouf and Bagayogo MoussaOur 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
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ENTROPY SOLUTION OF NONLINEAR INTEGRO- DIFFERENTIAL EQUATIONS WITH DIFFUSE MEASURE DATA
SAFIMBA SOMA and MOHAMED BANCEGiven 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,...
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The Cauchy problem for the minimal surface equation
BELLA Boureima, KABORE Bruno, LY IbrahimWe solve a Cauchy problem for a nonlinear elliptic equation using variational methods.
ARTICLE
THE IMPACT OF VACCINATION AND ANTIVIRAL TREATMENT ON THE TRANSMISSION OF HCV NFECTIONMPACT OF VACCINATION AND ANTIVIRAL TREATMENT ON THE TRANSMISSION OF HCV INFECTION
Bamogo Hamadou, Bationo Jérémie Yiyuréboula, Bassono Francis and Nebie Abdoul WassihaWe 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...
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 ZabsonreThis 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...
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The existence of three positive solutions of non homogeneous singular Kirchhoff problems
Noufou RABO, Stanislas OUAROIn 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...
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STABILITY FOR SHEAR BEAM MODEL AND NEWFACTS RELATED TO THE CLASSICALTIMOSHENKO SYSTEM WITH VARIABLE DELAY
Innocent OUEDRAOGO, Gilbert BAYILIIn 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...
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Mathematical analysis and optimal control of dengue fever epidemic model
YODA Yacouba, OUEDRAOGO Harouna , OUEDRAOGO Dramane and GUIRO AboudramaneIn 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...
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Polynomial stabilization of the wave equation with a time varying delay term in the dynamical control.
Désiré Saba, Bayili Gilbert, Serge NicaiseWe 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...
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SPATIO-TEMPORAL MATHEMATICAL MODELING OF INFECTIOUS DISEASES WITH CROSS DIFFUSION EFFECTS
SAFIMBA SOMA , SIAKA KAMBELE and ABOUDRAMANE GUIROIn this paper, we study analytically a class of nonlinear parabolic reaction- diffusion systems modeling the spread of infectious diseases with cross- diffusion terms. This model is governed by an S-I-R type system. First, we
prove the global existence of weak solution to this class of system...
ARTICLE
THE EXISTENCE OF THREE POSITIVE SOLUTIONS OF NONHOMOGENEOUS SINGULAR KIRCHHOFF PROBLEMS
Rabo Noufou, Ouaro StanislasIn 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)