Publications (409)
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
ARTICLE
A Median weighted product method for group decision support
Zo¨ınabo SAVADOGO, Stephane Aimé METCHEBON TAKOUGANG , Fredéric NIKIEMA and Somdouda SAWADOGO
When it comes to a multiple criteria and multiple actors decision-making problem known as a group decision support problem, the literature
generally mentions two ways to aggregate the preferences of decision-makers to achieve consensual outcomes. The first class of group
decision support methods run a same multi-criteria method for each deci(...)
Mots clés non renseignés
ARTICLE
Pseudo almost automorphic solutions of infinite class under the light of measure theory and applications
MOHAMADO KIEMA AND ISSA ZABSONRE
The aim of this work is to present new approach to study weighted pseudo almost automorphic functions with infinite delay using the measure theory. A new concept of weighted ergodic functions which is more general than the classical one is presented. Then many interesting results on the functional space of such functions is established. Also t(...)
Mots clés non renseignés
ARTICLE
NEW COLLECTIVE AGGREGATION FUNCTION OF ADDITIVE VALUE FUNCTIONS BY THE QUADRATIC MEAN
Zoïnabo Savadogo , Saïdou Ouedraogo , Frédéric Nikiema , Somdouda Sawadogo and Blaise Some
Group decision-making plays a crucial role in decision support. Indeed
today, it seems that a decision made by a single decision-maker hardly
reflects reality. Many methods have been dealt with in group decision
support. Generally, this is done through a collective aggregation
function which, through the judgments given by each decision-ma(...)
quadratic mean, aggregation function, collective
ARTICLE
Structural stability of nonlinear elliptic p(u)-Laplacian problem with Robin type boundary condition
S. Ouaro, N; Sawadogo
We study in this chapter the following nonlinear elliptic boundary value problem,
b(u)−diva(x,u,∇u)=fin Ω,a(x,u,∇u).η=−|u|r(x,u)−2uon ∂Ω,
where Ω is a bounded open domain in ℝN, N≥3, with smooth boundary ∂Ω. We prove the existence and uniqueness of weak solution for f∈L1(Ω) and structural stability result.
p(u)-Laplacian; Young measure; Robin boundary condition; existence and uniqueness
ARTICLE
A theoretical assessment of the effects of vectors genetics on a host-vector disease
Ali TRAORE
A host-vector disease model with insecticide resistance genes is proposed as a system of differential equations. The resistance-induced reproduction number Re is determined and qualitative stabilities analysis is provided. We use the model to study the effects of insecticide resistance of vectors on the spread of the disease. The resistance-in(...)
Host-vector diseases, genetics population, global stability, Lyapunov function
ARTICLE
Construction of a Class of Copula Using the Finite Difference Method
Remi Guillaume Bagré, Frédéric Béré, and Vini Yves Bernadin Loyara
The definition of a copula function and the study of its properties are at the same time not obvious tasks, as there is no general method for constructing them. In this paper, we present a method that allows us to obtain a class of copula as a solution to a boundary value problem. For this, we use the finite difference method which is a common(...)
Copules, EDP
ARTICLE
Construction of a Class of Copula Using the Finite Difference Method
Remi Guillaume Bagré, Frédéric Béré, and Vini Yves Bernadin Loyara
The definition of a copula function and the study of its properties are at the same time not obvious tasks, as there is no general method for constructing them. In this paper, we present a method that allows us to obtain a class of copula as a solution to a boundary value problem. For this, we use the finite difference method which is a common(...)
EDP, Copules
ARTICLE
COMPARISON OF THREE NUMERICAL ANALYSIS METHODS ON A LINEAR SECOND KIND FREDHOLM INTEGRO-DIFFERENTIAL EQUATION
Ouedraogo Seny, Bassono Francis et Rasmané Yaro
In the paper, we are interested in the comparison on numerical solutions of an integro-differential Fredholm equation of the second kind obtained by applying three methods of numerical analysis: the constant method, perturbation method and Adomian method
integro-differential Fredholm equation of the second kind, constant method, perturbation method, Adomian method