Publications (392)
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
ARTICLE
SQUARE COMPLETION OPERATION OF MAXIMAL SUFFIX IN FIBONACCI WORD
K. Ernest Bognini, Idrissa Kaboré, B. Thomas Ouédraogo
In this paper, we define the notion of maximal suffix duplication and the notion of strict square completion of maximal suffix in an infinite word. Then, we get that each of these operations can be used iteratively to generate the Fibonacci word F. Finally, we show that duplication generates F faster than strict square completion.
morphism, duplication, strict completion, maximal square, Fibonacci word
ARTICLE
Square-mean pseudo almost automorphic solutions of infinite class under the light of measure theory
ISSA ZABSONRE AND MOHAMADO KIEMA
The aim of this work is to present new concept of square-mean pseudo almost automorphic of infinite class using
the measure theory. We use the (μ, ν)-ergodic process to define the spaces of (μ, ν)-pseudo almost automorphic processes of infinite class in the square-mean sense. We present many interesting results on those spaces like completene(...)
Mots clés non renseignés
ARTICLE
EXACT SOLUTION OF SOME FRACTIONAL SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS VIA THE SBA METHOD
Bamogo Hamadou:, Yaya Moussa, Francis Bassono and Youssouf Paré
We use Some Blaise Abbo (SBA) method known as a numerical method of solving nonlinear PDE to solve two systems of nonlinear partial differential equations of nonhomogeneous fractional order. We found exact solutions of these examples by this method.
fractional equation, Some Blaise Abbo (SBA) method, Caputo derivative, fractional partial differential equations (PDEs)
ARTICLE
OPTIMAL CONTROL OF A NONLINEAR ELIPTICAL EVOLUTION PROBLEM WITH MISSING DATA
Toma Tindano, Mifiamba Soma, Tao Sadou et Somdouda Sawadogo
We consider the optimal control of a nonlinear elliptic problem with
missing data (so-called ill-posed problems). Using the notion of
no-regret and low-regret control, we give a characterization of the
control for ill-posed problems. More precisely, we study the control
of Cauchy evolution problems via a regularization approach which
gene(...)
optimal control, no regret, low regret
ARTICLE
Extension of the ELECTRE II method to group decision-making
Zo¨ınabo SAVADOGO ,KAMBIRE Koumbebar , Sougoursi Jean Yves ZARE
Multi-criteria decision support has long been treated in a single-decision maker framework . It seems that a decision made by a single
decision-maker does not reflect reality . There are multi-criteria group decision support methods in the literature . In order to find a collective
aggregation method fulfilling good properties , we have in t(...)
Mots clés non renseignés
ARTICLE
Extension of the Sparre Andersen risk model via the Spearman copula
Delwendé Abdoul-Kabir Kafando, Victorien Konané, Frédéric Béré, Pierre Clovis Nitiéma
This paper is devoted to an extension of the Sparre Andersen risk model without the assumption of independence of claim amounts and time between claims. The dependent structure between these random variables is described by the Spearman copula. We study the Laplace transform of the discounted penalty function and the Laplace transform of the p(...)
Gerber-Shiu functions, dependence, copula, integro-differential equation, Laplace transformation, probability of failure
ARTICLE
EXTENSION OF THE SPARRE ANDERSEN RISK MODEL VIA THE SPEARMAN COPULA
Delwendé Abdoul-Kabir Kafando, Victorien Konané, Frédéric Béré and Pierre Clovis Nitiéma
This paper is devoted to an extension of the Sparre Andersen risk model without the assumption of independence of claim amounts and time between claims. The dependent structure between these random variables is described by the Spearman copula. We study the Laplace transform of the discounted penalty function and the Laplace transform of the p(...)
Gerber-Shiu functions, dependence, copula, integro-differential equation, Laplace transformation
ARTICLE
New Voting Method Adapted to Developing Countries (NoMePaVD)
Zonabo SAVADOGO, Sougoursi Jean Yves ZARE, Wambie ZONGO, Blaise SOME
Elections are the heart of democracy. The choices made by a social group generally affect all the individuals in
that group. So social choice is about the selection of options by a group of individuals. Many voting methods exist in the
literature but these methods are not necessarily adapted to the situation of low-income countries, forcin(...)
Social Choice, Voting
ARTICLE
Mathematical analysis of the impact of the media coverage in mitigating the outbreak of COVID-19
KOUTOU Ousmane, DIABATE Abou Bakari, SANGARE Boureima
In this paper, a mathematical model with a standard incidence rate is proposed to assess the role of media such as facebook, television, radio and tweeter in the mitigation of the outbreak of COVID-19. The basic reproduction number
which is the threshold dynamics parameter between the disappearance and the persistence of the disease has bee(...)
COVID-19 mitigation, Media coverage, Mathematical study, Sensitivity analysis, Herd immunity, Numerical simulation
ARTICLE
Pseudo-almost Periodic Solutions of Class r in the .alpha-Norm Under the Light of Measure Theory
Issa Zabsonre, Abdel Hamid Gamal Nsangou, Moussa El-KhalilL Kpoumiè, and Salifou Mboutngam
We consider the existence of weak solutions for discrete nonlinear problems. The proof of the main result is based on a minimization method.
Mots clés non renseignés