Publications (468)
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
ARTICLE
Cholera invasion speed and the intervention strength
Komi Afassinou, Ousmane Koutou, Narcisse Roland Loufouma Makala
We formulate a mathematical model which captures the essential dynamics of cholera infection transmission. Control interventions such as vaccination program and environmental sanitation service are incorporated to analyse the impact of both interventions on the infection dynamics. The qualitative and numerical analyses of the model are carried(...)
Vaccination rate, Sanitation rate, Graph theoretical method, Invasion speed, Intervention strength
ARTICLE
Study of a Mild Solution of a Stochastic Integrodifferential Equation with Non-lipschitzian Coefficients in a Complex Hilbert Space
Wahabo BAGUIAN, Victorien F. KONANE and Claude YAMEOGO
In this work we consider a system of stochastic integrodifferential equations in a complex Hilbert space. We first establish the existence and uniqueness of mild solutions for our equation (1) under non-Lipschitz conditions. Then we show under certain assumptions that the mild solution found is asymptotically stable in mean order n. We obtain(...)
analytical semi-groups, stochastic integral, equation integrodifferential, mild solution, asymptotic stability
ARTICLE
CONTROLLABILITY OF A STOCHASTIC MODEL OF LYMPHATIC FILARIASIS
Ragnimwendé SAWADOGO, Victorien KONANE
This paper analyzes the controllability of a stochastic model of lymphatic filariasis. Like other
diseases, the spread of lymphatic filariasis is subject to a degree of randomness due to fluctuations in
the natural environment. This provides an opportunity to formulate a mathematical model of lymphatic
filariasis that accounts for as much e(...)
lymphatic filariasis; optimal control; stochastic model
ARTICLE
Konaté, Ibrahime; Ouaro, Stanislas. Nonlinear elliptic problem involving natural growth term, $L^1$-data, variable exponent and Neumann boundary condition.
I. Konaté, S. Ouaro
In this paper we study a class of multivalued Neumann boundary problem governed by the general p(.)-Leray-Lions type operator and involving a natural growth term and L1 data. Using the technique of maximal monotone operator in Banach spaces and the approximation method via Yosida regularisation and penalizing term, we firstly prove the existen(...)
Generalized Lebesgue-Sobolev spaces, Leray-Lions type operator, Yosida regularisation, maximal monotone graph
ARTICLE
Controllability results in α-norm for some partial functional integrodifferential equations with infinite delay in Banach spaces
NGUESSOLTA MADJISSEMBAYE, DJENDODE MBAINADJI2, SYLVAIN KOUMLA, ISSA ZABSONRE
This work concerns the controllability in the alpha-norm for some partial functional integrodifferential equations with infinite delay in Banach spaces. We give sufficient conditions ensuring the controllability by assuming that the undelayed part admits a resolvent operator in the sense of Grimmer and that the delayed part is continuous with(...)
controllability; partial functional integrodifferenttial; analytic semigroup; resolvent operator; Schauder fixed point theorem.
ARTICLE
Numerical solution of some wave equations with non-local edge conditions of fractional order in the sense of Caputo by the SOME BLAISE ABBO method (SBA)
Oumar MADAI, BAGAYOGO Moussa, Bakari ABBO,
In this paper, we are interested in solving some one-dimensional wave equations of fractional order β with 1<β≤2 in the Caputo sense by the SBA method.
The SBA method is based on a combination of the Adomian decomposition method, Picard’s principle and the method of successive approximations. This method uses a process that converges rapidly(...)
SOME BLAISE ABBO (SBA), Fractional functional equations, Caputo derivative, Riemann-Liouville integral, Non-local edge conditions, Partial differential equations