Publications (468)
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
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
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
Mathematical analysis of a deterministic and a stochastic epidemic models of dengue
Victorien KONANE; Ragnimwendé SAWADOGO
In this paper, a comparative study of a deterministic model with its associated
stochastic model was carried out.
Dengue, Liapunov Functions, basic Reproduction number
ARTICLE
Threshold Parameters of Stochastic SIR and SIRS Epidemic Models with Delay and Nonlinear Incidence
TRAORE Ali
In this paper, we study stochastic SIR and SIRS epidemic models with delay. A nonlinear incidence function that includes some special incidence rates is also considered. Two thresholds RS0 and R ̃S0 of the two models are derived by using the nonnegative semimartingale convergence theorem. The disease goes extinct when the value of RS0 is below(...)
delays, stochastic SIR model, nonlinear incidence, extinction, persistence in mean
ARTICLE
Noncommutative residue and symplectic foliation
Daniel Koama, Marie Françoise Ouedraogo
Let (M, ω) be a symplectic foliation with a symplectic form. Let A be an Heisenberg pseudodifferential operator. In this paper, we define the noncommutative residue of A for the symplectic foliation, using a symplectic form. Moreover, we show that is the unique trace on the algebra of Heisenberg pseudodifferential operators up to multiplicatio(...)
Mots clés non renseignés
ARTICLE
Boundedness of Pseudo-differential Operators on weighted Hardy spaces and variable exponents Hardy local Morrey Spaces
Mohamed Congo, Marie Françoise Ouedraogo
In this paper, we use the atomic decomposition to establish the boundedness of pseudo-differential operators belonging to Hörmander class on weighted Hardy spaces H p (ω) and on variable exponents Hardy local Morrey spaces
pseudo-differential operators, weighted Hardy spaces, Hardy local Morrey spaces
ARTICLE
Boundedness of pseudo-differential operators on weighted Hardy spaces and variable exponents Hardy local Morrey spaces
CONGO Mohamed, OUEDRAOGO Marie Françoise
In this paper, we use the atomic decomposition to establish the
boundedness of pseudo-differential operators belonging to Hörmander
class on weighted Hardy spaces and on variable exponents
Hardy local Morrey spaces.
Mots clés non renseignés
ARTICLE
VOTING METHOD BASED ON A DISTANCE ASSESSMENT OF PREFERENCES IN RELATION TO THE IDEAL CANDIDATE
Zoïnabo Savadogo, Stéphane Aimé Metchebon Takougang and Frédéric Nikiema
One of the main goals of social choice theory is the study of voting
methods. Voting allows for the aggregation of several individual
points of view in order to obtain a result that represents the generalinterest. Thus votes play a vital role in any society. Indeed, to elect
a president of a republic, or deputies, we go through votes.(...)
voting methods, arithmetic mean, assent voting
ARTICLE
STOCHASTIC HAMILTON-JACOBI-BELLMAN EQUATION AND VISCOSITY SOLUTIONS IN THE CASE OF MAXIMIZING THE EXPECTATION OF THE UTILITY FUNCTION OF THE FRACTIONAL BLACK-SCHOLES MODEL APPROXIMATED BY A SEMIMARTINGALE
Sibiri Narcisse Dolemweogo, Frédéric Béré, Abel Zongo and S. Pierre Clovis Nitiéma
In this paper, we establish Hamilton-Jacobi-Bellman (HJB)
equation for the fractional Black-Scholes model approximated by a
semimartingale. We show the existence and the uniqueness of a
viscosity type solution for the HJB equation associated to this
problem.
optimal stochastic control; stochastic Hamilton-Jacobi-Bellman equation; viscosity solution; semimartingale.
ARTICLE
Analysis of Dengue Disease Transmission Model with General Incidence Functions
Harouna OUEDRAOGO and Aboudramane GUIRO
In this work, we propose a non-linear system of differential equations that models the dynamics of transmission of dengue fever. Then, we perform a stability analysis of this model. In particular, we prove that when the threshold of the model called the basic reproduction ratio is less than unity, the disease-free equilibrium is globally asymp(...)
dengue, general incidence function, mathematical analysis, basic reproduction number, Lyapunov function, stability analysis, sensitivity
ARTICLE
Spatio-Temporal Determinants of Dengue Epidemics in the Central Region of Burkina Faso
Cheick Ahmed Ouattara, Tiandiogo Isidore Traore, Boukary Ouédraogo, Bry Sylla, Seydou Traoré, Zièmlé Clément Mèda, Ibrahim Sangaré, Léon Savadogo
The aim of this study was to analyze the spatio-temporal distribution and determinants of the 2017 dengue epidemic in Burkina Faso. A principal component analysis of meteorological and environmental factors was performed to reduce dimensions and avoid collinearities. An initial generalized additive model assessed the impact of the components d(...)
Dengue fever, Geography, Generalized additive model, Distribution (mathematics), Environmental health, Incidence (geometry), Principal component analysis, Distributed lag, Environmental science, Socioeconomics, Statistics, Medicine, Mathematics, Virology
ARTICLE
Galois LCD codes over mixed alphabets
Maryam Bajalan, Alexandre Fotue Tabue, Joël Kabore, Edgar Martinez-Moro
In this work we give a characterization of Galois Linear Complementary Dual codes and Galois-invariant codes over mixed alphabets of finite chain rings, which leads to the study of the Gray image of F_pF_p[t]-linear codes, where p= 2 or p=3 and t # t^2=0, that provides LCD codes over F_p.
.
Finite chain ring, Linear complementary dual codes, Galois duality, Gray map