Publications (199)
ARTICLE
Square-mean pseudo almost periodic solutions of class r under the light of measure theory
MOHAMADO KIEMA AND ISSA ZABSONRE
The aim of this work is to present new concept of square-mean pseudo almost periodic of class r using the measure theory. We use the ergodic process to define the spaces of pseudo almost periodic processes of class r in the square-mean sense. We present many interesting results on those spaces like completeness and composition theorems
and we(...)
Mots clés non renseignés
ARTICLE
A mathematical analysis of prey-predator population dynamics in the presence of an SIS infectious disease
Savadogo, Assane; Sangaré, Boureima; Ouedraogo, Hamidou
n this paper, we propose and analyze a detailed mathematical model describing the dynamics of a preypredator model under the influence of an SIS infectious disease by using nonlinear differential
equations. We use the functional response of ratio-dependent Michaelis-Menten type to describe the
predation strategy. In the presence of the di(...)
Mots clés non renseignés
ARTICLE
STUDY OF A DISCRETE CLASS OF SCHISTOSOMIASIS MODELS WITH DELAY AND GENERAL INCIDENCE
HAROUNA OUEDRAOGO*, ALI TRAORE AND ABOUDRAMANE GUIRO
A nonlinear deterministic discrete model for schistosomiasis transmission including delays with general incidence functions is derived. The discrete model is obtained by used the backward Euler method. The basic properties of the model are studied. The basic reproduction number R0 of the model is computed and we established that for R0 1 the(...)
Schistosomiasis, discrete mathematical model, Lyapunov function, delays, reproduction number, stability
ARTICLE
Existence and regularity of solutions in alpha-norm for some nonlinear second order differential equation in Banach Spaces
Issa ZABSONREy Hamidou TOURE and Boris HADA
Using the theory of cosine family, we prove the existence and regularity of solutions for some nonlinear second order differential equation in -norm. The delayed part is assumed to be locally lipschitz.
Mots clés non renseignés
ARTICLE
Boundedness of Nonregular Pseudo-differential Operators on Variable Exponent Triebel-Lizorkin-Morrey Spaces
Mohamed Congo, Marie Françoise Ouedraogo
In this paper, we study the boundedness of non regular pseudo-differential operators on variable exponent Besov-Morrey spaces with symbols a(x, ξ) belonging to C_∗^ℓ S1,δ. For these symbols x-regularity is measured in Hölder-Zygmund spaces
Pseudo-differential operators, Non regular symbols
ARTICLE
FINITE TIME RUIN PROBABILITY IN MULTIVARIATE PERTURBED RENEWAL RISK MODEL
Frédéric Béré, Remi Guillaume Bagré, Vini Yves Bernadin Loyara and Pierre Clovis Nitiéma
This paper contributes to the approach of the bivariate risk of ruin in finite time. We deal with a problem of risk of occurrence of a claim from the Cramer-Lundberg model in which there is some by-claim (more or less zero) integrating a Brownian oscillation at the level of the reserve at a given time t.
We evaluate the probability of bivaria(...)
stable distribution, Brownian perturbation, by-claim, heavy tail distribution, renewal equation
ARTICLE
On the palindromic zl-factorization and c-factorization of the generalized period-doubling sequences
Moussa Barro, K. Ernest Bognini, Idrissa Kaboré
In this paper, we study period-doubling sequences over an ordered alphabet of size q ≥ 2. We present properties of these words relative to the structure of their palindromic factors. The explicit formulas of the palindromic Ziv-Lempel factorization and the palindromic Crochemore factorization based on the combinatorial structure of infinite se(...)
palindrome, factorization, period-doubling sequence
ARTICLE
C^n-pseudo almost automorphic solutions of class r for neutral partial functional differential equations under the light of measure theory
Micailou NAPO, Issa ZABSONRE, Gilbert BAYILI
The aim of this work is to present new approach to study C^n pseudo almost automorphic solutions of class r for some neutral partial functional di erential equations in a Banach space when the delay is distributed. We use the variation of constants formula and the spectral decomposition of the phase space.
Mots clés non renseignés
ARTICLE
A study of stability of SEIHR model of infectious disease transmission
Harouna Ouedraogo *, Dramane Ouedraogo, Idrissa Ibrango, and Aboudramane Guiro
We develop in this paper a Susceptible Exposed Infectious Hospitalized and Recovered (SEIHR), spread model. In the model studied, we introduce a recruitment constant, to take into account the fact that newborns can transmit disease. The disease-free and endemic equilibrium points are computed and analyzed. The basic reproduction number R0 is a(...)
Compartmental modeling, recruitment, infectious disease, reproduction number, equilibria, stability analysis, numerical simulation
ARTICLE
Extension of the TOPSIS method to group decision-making
Sougoursi Jean Yves ZARE , Zo¨ınabo SAVADOGO , Wambie ZONGO , Somdouda SAWADOGO and Blaise SOME
TOPSIS (Technique for Order Performance by Similarity to Ideal Solution) is a very practical decision support method used in several areas
of life. This method already exists in the literature in the context of a single decision maker. In order to adapt this method to group decision
making, which can be easily applied in various situations,(...)
Group decision; extension-TOPSIS; geometric mean; quadratic mean
ARTICLE
COLLECTIVE AGGREGATION METHOD BASED ON THE ELECTRE I METHOD FOR SOLVING SELECTION PROBLEMS
Frédéric Nikiema , Zoïnabo Savadogo , Somdouda Sawadogo and Blaise Some
In the literature on multi-criteria group decision support, many
methods have been discussed. In general, these methods are based on
collective aggregation functions that, through the judgments given by
each decision maker on the actions according to each criterion, must
determine an action that is the best or that represents a consens(...)
geometric mean, median, collective aggregation function
ARTICLE
METHOD OF SOLVING GROUP DECISION PROBLEMS BY THE ARITHMETIC MEAN AND THE MEAN DEVIATION
Wambié Zongo, Zoïnabo Savadogo, Sougoursi Jean Yves Zare, Somdouda Sawadogo and Blaise Some
We often notice the harmful consequences of decisions taken
individually (conflicts, contestation, etc.) that create insecurity and
instability in social and economic life in our countries. This is why
today in organizations and institutions, leaders have more and more
recourse to group decision-making where several individuals come(...)
: arithmetic mean, absolute mean deviation, group decision
ARTICLE
New Innovative Method in the Field of Social Choice Theory
Zoïnabo Savadogo1 , Sougoursi Jean Yves Zaré1 , Wambie Zongo1 , Somdouda Sawadogo2 , Blaise Somé1
Social choice theory includes the study of voting methods. In the literature on social choice theory many methods
exist, the main objective of all these methods is the determination of a good method. However, many of these methods give
controversial results which often lead to disputes. It should also be noted that sometimes, regardless of(...)
New Method, Innovative
ARTICLE
Analysis of schistosomiasis global dynamics with general incidence functions and two delays
KOUTOU Ousmane, TRAORE Bakary, SANGARE Boureima
As most communicable diseases, schistosomiasis transmission mechanism involves some
delay due to the incubation period. In this study, we seek to investigate the impact of incubation
period on schistosomiasis global transmission dynamics. For that, starting from our previous
work and using delay differential equations, we have proposed a mo(...)
Mathematical analysis, Schistosomiasis transmission, Incubation period, Basic reproduction number, General incidence functions, Delay differential equations, Numerical simulations