Publications (475)
ARTICLE
Exploring the epidemiological impact of Pneumonia–Listeriosis co-infection in the human population: a modeling and optimal control study
Chidozie Williams Chukwu, Stéphane Yanick Tchoumi, Ousmane Koutou, Faishal Farrel Herdicho, Fatmawati
Pneumonia and Listeriosis are significant public health concerns, both individually and as co-infections, particularly in
vulnerable populations such as the elderly, immunocompromised individuals, and infants. Using a mathematical modeling
approach, this study explores the epidemiological impact of Pneumonia–Listeriosis co-infection within h(...)
Listeriosis/Pneumonia, Sensitivity analysis, Simulations, Co-infection modeling
ARTICLE
Rational stabilization of the multidimensional wave equation with dynamical control and time-varying delay
Désiré SABA, Innocent OUEDRAOGO, Gilbert BAYILI
We consider the multidimensional 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. Using direct computations, through the multiplier method, the rational energy decay rate of the system will be give(...)
Dynamical control, wave equation, stability, time varying delay
ARTICLE
Evaluating Convergence Rates in Particle Swarm Optimization: Insights from Gradient-Perturbation and Dual-Binary Approaches
Ywo Josue BAZIE, A Drabo, Abel ZONGO, Clovis NITIEMA
This paper investigates the convergence properties of two Particle Swarm Optimization (PSO) algorithms:
the Gradient-Perturbation PSO and the Dual-Binary PSO. We introduce a novel evaluation criterion that
quantifies the rate of convergence using a stochastic dynamic averaging approach, enabling a more precise
analysis of the algorithms’ pe(...)
Approximation; stochastic modelling; gradient perturbation; optimization.
ARTICLE
Application of a new approach to the Adomian method to the solution of fractional-order integro-differential equations
Traoré André , Bationo Jeremie Yiyureboula a and Francis Bassono
In this paper we solve fractional order integro-differential equations of Fredholm type and Volterra type. For the solution
we use a new Adomian decompositional method.
In the first part we give the basic notions on fractional operators, essential to our work. The second part is devoted to
the description and convergence of the method. In t(...)
Volterra; fractional operators; integro- differential equations; fredholm
ARTICLE
Numerical analysis of a quasilinear parabolic problem with variable exponent
N. Rabo, U. Traoré, S. Ouaro
This paper deals with the numerical approximation of the mild solution of a quasilinear parabolic equation with variable exponent. Under some conditions, it is shown that the mild solution is a weak solution. Numerical tests are performed using the split Bregman method. The functional setting involves Lebesgue and Sobolev spaces with variable(...)
Leray-Lions operator with variable exponent; parabolic equation; numerical; iterative method; mild solution
ARTICLE
Implementation of a Voting Method Based on Mean-Deviation Evaluation for a Large-Scale Election
Hadarou Yiogo, Zoïnabo Savadogo
Today, many countries around the world, particularly in Africa, are experiencing post-election difficulties due to unexpected
election results. This sometimes provokes protests and revolt among the population. To overcome this major problem, several
voting systems have been developed in the literature, but some of them are not lacking in s(...)
Implementation, Voting Method, Mean- Deviation, Election
ARTICLE
EXISTENCE AND UNIQUENESS OF SOLUTION FOR THE ADVECTION-DIFFUSION EQUATION WITH A FRACTIONAL LAPLACIAN OPERATOR
MARTIN NITIEMA, THOMAS TINDANO, DAOUDA PARE
We consider an advection-diffusion problem involving a fractional Laplace operator of order
0 < s < 1. First, we give the preliminaries that will be used in the following to prove the existence of the
solution to the problem under consideration using Lions’ theorem. Finally, we show that this solution is
unique.
fractional Laplace operator; fractional Riemann-Liouville derivatives; Lions’ theorem.
ARTICLE
Mathematical modeling of bi-mode transmission of hepatitis B with media coverage
Abdoul Aziz Gansonré, Adama Ouédraogo & Ousmane Koutou
This paper presents a bi-mode transmission model for hepatitis B, focusing on two primary transmission routes:
blood transfusion and excessive intravenous drug use. We constructed the model and conducted a mathematical analysis,
including the calculation of the basic reproduction number using the next-generation matrix method and identifying(...)
Hepatitis, Media coverage, Mathematical study, Herd immunity, Numerical simulation
ARTICLE
A THEORETICAL ASSESSMENT OF THE EFFECTS OF HOSPITAL RESOURCES ON A HOST-VECTOR DISEASE
ROSAIRE OUEDRAOGO, ALI TRAORE, HAMADOUM DICKO
This paper provides a mathematical analysis of a host vectors disease model with the influence of available hospital resources. We derive the basic reproduction number Rh0 of the model. We prove the existence of a unique disease-free equilibrium, which is stable when the basic reproduction number Rh0 is less than 1, indicating that the disease(...)
Host-vector disease, Stability, Bifurcation
ARTICLE
Performance Assessment of Queuing Networks with Intermittently Accessible Servers, Failed Servers, Corrective Maintenance, Feedback, and Customer Abandonment.
FAYAMA, Finyori, Abdoul Karim DRABO, Abel ZONGO, and S. Pierre Clovis NITIEMA.
The aim of this work is to evaluate the performance of M/M/K (K > 2) multiserver queuing networks with
intermittently accessible servers, failed servers, corrective maintenance, feedback and client dropouts. We first
studied the two-server heterogeneous M/M/2 model, in which Server 1 is considered to be subject to outages
with corrective ma(...)
Queue networks; M/M/K model; PSO algorithm; intermittent servers; servers down; corrective maintenance; aborting; operational costs.
ARTICLE
MEAN (µ, ν)-PSEUDO ALMOST PERIODIC SOLUTIONS OF CLASS r UNDER THE ANGLE OF MEASURE THEORY TO SOME STOCHASTIC EVOLUTION EQUATIONS
Victorien Fourtoua Konane, Bernard Balma
The paper introduces and studies the concept of mean
(µ, ν)-pseudo almost periodic solution of class r for stochastic processes
using the measure theory. We use (µ, ν)-ergodic process to define the spaces
of (µ, ν)-pseudo almost periodic processes of class r in the mean sense. We
also present many interesting results on this spaces, such a(...)
Poisson process, Markov process, C0-semigroup, (µ, ν)-ergodic process, (µ, ν)-pseudo almost periodic process, stochastic processes, stochastic evolution equations, Banach space.
ARTICLE
A Circular Spatial-diffusion Mathematical Model to Analysis Hopf-Turing Bifurcation in Plankton Population Under the Toxin Control Variation in 2D
Hamidou Ouedraogo , Wendkouni Ouedraogo, Desire Ouedraogo, Boureima Sangare
In a mathematical model of a system with two reaction-diffusion equations with Neumann-Dirichlet boundary
conditions, we formulated zooplankton-phytoplankton in the aquatic environment on the circular domain. The attention has been
focused on the toxin producing role of the space in explaining heterogeneity, the distribution of the species a(...)
Cicular Domain, Phytoplankton-zooplankton, Toxin Parameter, Diffusion Coefficients, Global Stability, Dirichlet Boundary, Bifurcation Analysis, Pattern Formation
ARTICLE
Existence and regularity of solutions in α-norm for Some second order partial neutral functional Differential equations with finite
DJENDODE MBAINADJI, SYLVAIN KOUMLA AND ISSA ZABSONRE
The purpose of this work is to investigate the existence and regularity of solutions in the α-norm for some second order partial neutral functional differential equations in Banach
spaces with finite delay using fractional -power and the theory of the cosine family. As result, we obtain a generalization of work of Herman R. Henriquez et al.(...)
Cosine family, Mild and strict solutions, Neutral equations, α--norm, second order functional differential equations.
ARTICLE
ON SOME FRACTIONAL MODELS OF LOTKA-VOLTERRA
Traoré André, Francis Bassono and Kamate Adama
In this paper, we study two fractional models of Lotka-Volterra.
We begin by recalling the fundamental notions of fractional analysis.
Then we proceed in a second step to give the description of the
Adomian method and we finish our work with the description and
resolution of some fractional models of Lotka-Volterra. In the first
fractional derivative in Caputo’s sense, fractional integral, preypredation, Adomian method, Lotka-Volterra
ARTICLE
Mellin-SBA Method for Solving Nonliear Partial Differential Equations
Traoré André, Kamate Adama and Francis Bassono
In this paper, we present a new numerical method for solving nonlinear differential and partial differential
equations. This method is the Mellin-SBA method. In the first part, we describe the SBA and Mellin-SBA
methods. The second part is devoted to solving two nonlinear problems by the Mellin-SBA method.
Partial differential equations; mellin transformation; SBA method; mellin-SBA method