Publications (470)
ARTICLE
Solving viscid Burgers equation by Adomian decomposition Method (ADM), Regular Pertubation Method (RPM) and Homotopy Perturbation Method (HPM)
BAGAYOGO Moussa, MINOUNGOU Youssouf, NEBIE Abdoul Wassiha, PARE Youssouf
In this paper the Adomian decomposition Method (ADM), Regular Pertubation Method (RPM) and the Homotopy Perturbation Method (HPM) are used to study Burgers equation. Then we compare the solutions obtained by these three methods.
Adomian decomposition Method (ADM), Burgers equation, Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM).
ARTICLE
Numerical Methods Applied to Ruin Probability in an Erlang(2) Risk Process with Weibull Loss Distribution
Delwendé Abdoul-Kabir Kafando, Mahamoudou Ouedraogo, Lassané Sawadogo, Souleymane Sawadogo
Cet article examine le processus de risque Erlang(2) et la probabilité de ruine qui se produit lorsque le surplus tombe en dessous de zéro, indiquant un potentiel de faillite pour la compagnie d'assurance. L'étude se concentre sur le calcul de la probabilité de ruine sous l'hypothèse d'une distribution Weibull. Les scénarios ont été analysés e(...)
Méthode des différences finies, Transformée de Laplace, Probabilité de ruine, Règle du trapèze, Distribution Weibull
ARTICLE
STABILITY FOR SHEAR BEAM MODEL AND NEW FACTS RELATED TO THE CLASSICAL TIMOSHENKO SYSTEM WITH VARIABLE DELAY
Innocent OUEDRAOGO, Gilbert BAYILI
In this paper we study a Timoshenko type beam model with a variable delay. It is mainly about, on the one hand, a study of the existence and uniqueness of the solution and on the other hand, to present a study of exponential stability of the obtained solution. The introduction of the variable delay term is the added value brought by this work.
Timoshenko system, Exponential stability, Faedo Galerkin Method, Time delay
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
Approximated solutions of the homogeneous linear fractional diffusion-convection-reaction equation
BAMOGO Hamadou, NEBIE Abdoul Wassiha, BASSONO Francis, MINOUNGOU Youssouf, 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,
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
On a Stochastic Approach to Extensions of the SusceptibleInfected-Susceptible (SIS) Model Applied to Malaria
Abdoul Karim Drabo, Frédéric Bere, and S. P. Clovis Nitiema
This work presents a stochastic model of malaria spread. We first calculated the basic reproduction number R0 of the models ShIhRhSh‐SvIv and ShLhIhRhSh‐SvLvIv in order to show that the malaria-free equilibrium is asymptotically stable; then, we used a finite Markov chain model to describe the interactions between the different compartments of(...)
Malaria, Stochastic modeling, Markov chain, Probability
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
ARTICLE
SPATIO-TEMPORAL MATHEMATICAL MODELING OF INFECTIOUS DISEASES WITH CROSS DIFFUSION EFFECTS
SAFIMBA SOMA , SIAKA KAMBELE and ABOUDRAMANE GUIRO
In 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 by means of an approximation process, the Faedo-Ga(...)
Keywords and phrases: infectious diseases, S-I-R model, cross-diffusion system, weak solutions, Faedo-Galerkin.