Publications (468)
ARTICLE
Optimal control analysis of a mathematical model of malaria and COVID-19 co-infection dynamics
Abou Bakari Diabaté, Boureima Sangaré, Ousmane Koutou
In this paper, we analyze a deterministic model of malaria and Corona Virus Disease 2019 co-infection within a homogeneous population. We first studied the single infection model of each disease and then the co-infection dynamics. We calculate the basic reproduction number of each model and study the existence and stability of the steady state(...)
Co-infection model; bifurcation; sensibility analysis; optimal strategies; numerical simulations
ARTICLE
Modeling and simulation of the spread of radicalization to terrorism: A theoretical and numerical analysis
Malicki Zorom, Mamadou ROUAMBA, Elisée GOUBA, Babacar LEYE, Mamadou DIOP, Abdou LAWANE GANA, Pascal ZONGO
In this study, we propose a mathematical model for terrorism dynamics by dividing the population into three compartments: (S) susceptible, (E) extremists, and (T) deradicalized. The model is formulated as a system of nonlinear ordinary differential equations, enabling the determination of the radicalization-free equilibrium, the basic reproduc(...)
Basic reproduction number, radicalization free equilibrium, endemic equilibrium, bifurcation analysis, sensitivity analysis
ARTICLE
Evolution algebras satisfying degree four identities not implied by commutativity
Savadogo Souleymane, Konkobo Amidou and Ouattara Moussa
L’objectif de cet article est d’étudier les algèbres de l’évolution satisfaisant l’identité $\{(xy)^2-x^2y^2\}-2\{((xy)x)y+((xy)y)x-(y^2x)x-(x^2y)y\}=0$
non impliquée par la commutativité et sans élément unitaire. Nous prouvons que la classe des algèbres d’évolution associatives des puissances est contenue dans la classe donnée, et que cette(...)
degree four identity, evolution algebra, baric algebra, derivation.
ARTICLE
On the Palindromic Complexity of Words by Substitution of Letter Power in Modulo-recurrent Words
K. Ernest Bognini, Moussa Barro and Boucaré Kientéga
Let us consider a modulo-recurrent word and an integer k ≥ 1. In steps of k, we substitute one letter of this word by a
power of letter. Then, we obtain a new family of words derived from modulo-recurrent words. After giving the expressions
of the classic complexity functions of these words, we give a necessary condition for a factor of the(...)
Sturmian words, modulo-recurrent, substitution, complexity function, palindrome
ARTICLE
Entropy solutions for nonlinear parabolic problems involving the generalized p(x)-Laplace operator and L1 data
Mohamed Badr Benboubker, Urbain TRAORE
Dans cet article, nous démontrons l’existence d’une solution d’entropie pour des équations paraboliques non linéaires avec des conditions aux limites de Neumann non homogènes et des données initiales dans L^1. À l’aide d’une technique de discrétisation en temps, nous analysons les questions d’existence, d’unicité et de stabilité. Le cadre fonc(...)
Nonlinear Parabolic problem, variable exponents, entropy solution, Neumann-type boundary conditions, semi-discretization.
ARTICLE
Construction of DNA codes using θ-skew cyclic codes over F4 + vF4.
Joël KABORE, Mohammed Elhassani CHARKANI
In this paper, we determine the structure of θ-skew cyclic codes over the ring R=F_4+v F_4, where v^2=v and θ is a non-trivial automorphism over F_4+v F_4. Using a correspondence between R and DNA 2-bases, we characterize θ-skew cyclic reversible DNA codes and θ-skew cyclic reversible-complement DNA codes over this ring. We also derive the Gra(...)
θ-skew cyclic codes, non-chain rings, Gray map, reversible codes, DNA codes.
ARTICLE
ANALYSIS AND OPTIMAL CONTROL OF A FRACTIONAL TUBERCULOSIS MODEL
Ali TRAORE, Hamadoum DICKO, Rosaire OUEDRAOGO
A fractional model is developed to study the transmission dynamics of tu- berculosis disease. The use of a fractional model provides a memory effect and long-term dynamics often observed in chronic infectious diseases such as tuberculosis, which is charac- terized by a prolonged incubation period and risks of reactivation. The basic reproducti(...)
fractional order; optimal control; tuberculosis; sensitivity analysis
ARTICLE
HOMOTOPY PERTURBATION METHOD (HPM), ADOMIAN DECOMPOSITION METHOD (ADM) AND COUPLING HPM AND PEM (PARAMETER-EXPANSION METHOD) FOR NONLINEAR OSCILLATOR WITH COORDINATE-DEPENDENT MASS
BAGAYOGO Moussa, MINOUNGOU Youssouf, NEBIE Abdoul Wassiha, PARE Youssouf
In this paper, we investigate a nonlinear oscillator with coordinatedependent mass. We derive approximate solutions for this oscillator using the Homotopy Perturbation Method (HPM), the Adomian Decomposition Method (ADM), and a coupled approach combining HPM with the Parameter-Expansion Method (PEM). The solutions obtained from each method are(...)
nonlinear oscillator, Homotopy Perturbation Method (HPM), Adomian Decomposition Method (ADM), PEM (Parameter-Expansion Method).
ARTICLE
FINITE TIME RUIN PROBABILITY USING HAWKES VARIABLE MEMORY COUNTING PROCESS WITH EXPONENTIAL DISTRIBUTION CLAIMS
Frédéric Béré, Souleymane Badini, Abdoul Karim Drabo, Delwendé Abdoul-Kabir Kafando
The finite time ruin probability in actuarial science and in companies throughout their operating lives remains a major and very complex concern for the latter. Given the complexity of the occurrence of natural risk phenomena, the mathematical determination of this probability can prove particularly complex. This mathematical complexity repres(...)
risk models, hawkes process
ARTICLE
OPTIMAL CONTROL OF A DYNAMIC SEIRDS MODEL FOR THE SPREAD OF INFECTIOUS DISEASES
SIAKAKAMBELE ; SAFIMBA SOMA AND ABOUDRAMANE GUIRO
Thisarticleisdevotedtotheproblemofoptimalcontrolofareaction-diffusionsystemforan
SEIRDS-typeepidemiologicalmodel,wherethedynamicsevolveinaspatiallyheterogeneousenvironment.
Thecontrolvariablesarethetransmissionratesβe, β1,andβ2,correspondingrespectively tothe contagion
resultingfromcontactwithasymptomaticandsymptomaticindividuals. Theaimisto(...)
reaction-diffusion;SEIRDSmodel;optimalcontrol;first-ordernecessaryoptimality conditions;adjoint system.
ARTICLE
COPULAS AND EVALUATION OF RISK MEASUREMENT AND -BASED CAPITAL ALLOCATION IN A CONTEXT OF TAIL DEPENDENCY
Kiswendsida Mahamoudou Ouedraogo, Abdoul Karim Drabo, Delwendé Abdoul-Kabir Kafando, Lassané Sawadogo, S. P. C. Nitiema
In this paper, we construct an extension of Spearman’s copula and evaluate the risk measure TVaR (Tail Value at Risk) and the TVaR-based capital allocation for an insurance portfolio whose risks maintain a tail-dependency relationship via this new copula. Assuming that the portfolio comprises two lines of business whose risks are identically d(...)
copula, tail dependency, TVaR risk measure, capital allocation
ARTICLE
Stepanov-like-cn-pseudo almost periodic solutions of class r under the light of measure theory
MOHAMADO KIEMA, MICAILOU NAPO AND ISSA ZABSONRE
The aim of this work is to present new concept of Stepanov-Like -Cn-pseudo almost periodic of class r using the measure theory. We use the (μ, ν)-ergodic functions to define the spaces of (μ, ν) Stepanov-Like-Cn-pseudo almost periodic functions of class r. We present many interesting results on those spaces like completeness and composition th(...)
Measure theory, (μ, ν)-pseudo almost periodic function, partial functional differential equations.
ARTICLE
On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions
Ali TRAORE, F. Victorien KONANE
The susceptible, exposed, infectious, hospitalized, and recovered (SEIHR) model with delays in diagnosis is investigated. A class of general incidence functions is considered. The threshold for the model is determined, and the stabilities of the equilibrium points are examined. The effects of the delay in diagnosis on the spread of the disease(...)
Modélisation, stabilité, diagnostic
ARTICLE
MULTIPLICITY OF SOLUTIONS FOR THE DISCRETE ROBIN PROBLEM INVOLVING THE p(k)-LAPLACE KIRCHHOFF TYPE EQUATIONS
BRAHIM MOUSSA, ISMAEL NYANQUINI, AND STANISLAS OUARO
Inthispaper,weestablishresultsontheexistenceandmultiplicityofsolutionsforadiscrete Robin boundary value problem involving the variable exponent p(k)-Laplacian of Kirchhoff type in a finite-dimensional Banach space. Our approach relies on variational techniques combined with tools from critical point theory
Kirchhoff type equation, Discrete Robin problem, Multiple solutions, Variational methods, Critical point theory
ARTICLE
ON UNIQUENESS OF LOCAL ENTROPY SOLUTION OF A CONVECTION-DIFFUSION TYPE INTEGRO-DIFFERENTIAL EQUATION
MOHAMED BANCE and SAFIMBA SOMA
We study the uniqueness of entropy solution for a class of triply
nonlinear parabolic integro-differential equations of the form
∂t k ∗(j(v)−j(v0)) −∇· a(x, ∇ϕ(v)) + F (ϕ(v)) = f
in a bounded domain with homogeneous Dirichlet boundary conditions. The
source term f belongs to L1 and the memory term k ∗(j(v)−j(v0)) introduces
a nonlocal depe(...)
Fractional time derivative; Nonlinear Volterra equation; triply non- linear; Entropy solution.