Publications (392)
ARTICLE
On the study of cellular automata on modulo-recurrent words
Moussa Barro, K. Ernest Bognini and Boucaré Kientéga
In this paper, we study some class of cellular automata (CA) preserving modulo-recursive, stability by reflection and richness called stable cellular automata (SCA). After applying these automata on Sturmian words, we establish some combinatorial properties of these new words. Next, the classical and palindromic complexity functions of these w(...)
: cellular automata (CA), modulo-recurrent, Sturmian words, palindromic factor, complexity function.
ARTICLE
Media campaigns, early diagnosis, isolation and treatment on bacterial meningitis outbreak prevention: A modeling study
Ousmane Koutou, Wendkouni Ouedraogo, Hamidou Ouedraogo, Komi Afassinou, Abou Bakari Diabate
Bacterial meningitis is a severe infection affecting the protective membranes of the brain and spinal cord, with rapidly worsening symptoms that can lead to life-threatening complications. This study presents an autonomous deterministic epidemic model, SIaIsMRS, to explore the dynamics of bacterial meningitis in a community implementing contro(...)
Mathematical analysis, optimal control, bacterial meningitis, early diagnosis, media coverage, numerical results
ARTICLE
Privileged Complexity of the ternary Thue-Morse word
Boucaré Kientéga, K. Ernest Bognini and Moussa Barro
In this paper, we focus on a new type of complexity of infinite words called privileged complexity. We apply this concept to the ternary Thue-Morse word. First, we present properties of the return words in the ternary Thue-Morse word. Then, we study the privileged words of this infinite word. Finally, we derive a recursive formula that allows(...)
Infinite words, Frist complete return word, Privileged word, Privileged complexity
ARTICLE
A mathematical model study with crowley-Martin functional responses to describe fish and zooplankton dynamics
Wendkouni Ouedraogo, Hamidou Ouedraogo, Ousmane Koutou, Boureima Sangare
In this paper, we consider a reaction-diffusion model with homogeneous Neumann
boundary conditions to describe fish and zooplankton dynamics. This model incorporates
a complex Crowley-Martin functional responses. We also introduce two important
elements: fishing and cannibalism effect in the dynamics. In the mathematical
analysis, global a(...)
Population dynamics, fishing effort, prey-predator system, Crowley-Martin functional response, persistence, stability, Hopf bifurcation, turing instability, zooplankton and fish ecosystem.
ARTICLE
ANALYSIS OF A CO-INFECTION MODEL CONSIDERING THE INFLUENCE OF INFORMATION DYNAMICS
Ali TRAORE, Hamadoum Dicko, Rosaire Ouedraogo
In this paper, we present a mathematical model to study the dynamics of a co-infection involving two diseases: one that confers tem- porary immunity and the other that confers permanent immunity, while incorporating the impact of information dissemination about temporary immunity disease. The study of the disease with temporary immunity shows(...)
Mathematical modeling, co-infection, stability, optimal control.
ARTICLE
Square-mean pseudo almost automorphic Solutions of class r in the α-norm under The light of measure theory
Djendode Mbainadji, Issa Zabsonre
The main objective of this work is to study the existence and uniqueness of the square-mean (μ, ν)-pseudo almost automorphic solution of class r in the α-norm for a stochastic partial functional differential equation. For this purpose, we use the Banach contraction principle and the techniques of fractional powers of an operator to obtain the(...)
(μ, ν)-pseudo almost automorphic functions, ergodicity, measure theory, partial functional differential equations, stochastic evolution equations, stochastic processes.
ARTICLE
A two dimensional nonlinear space time mathematical analysis of fish and zooplankton dynamics considering the fishing effects in the ecosystem
Wendkouni Ouedraogo, Hamidou Ouedraogo, Ousmane Koutou, Boureima Sangare
We consider a reaction-diffusion model with homogeneous Neumann boundary conditions to describe fish and zooplankton dynamics. We also introduce two important elements: fishing and cannibalism effect in the dynamics using a non linear functional responses. In the mathematical analysis, global attractor, persistence conditions and the stability(...)
prey-predator system, non linear functional response, equilibrium stability, Hopf bifurcation and Turing instability, zooplankton-fish ecosystem.
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
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
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
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
Applications of stable cellular automata on Sturmian words
Moussa Barro, K. Ernest Bognini and Boucaré Kientéga
In this paper, we generalize the study of some class of cellular automata (CA) preserving stability, called stable cellular automata (SCA) on Sturmian words. After establishing the classic complexity of obtained words by these SCA, their special factors are also specified. Next, we prove that their palindromic complexity is 1 or 2. Finally, we(...)
Stable Cellular Automata(SCA), Strumian words, Complexity, special factor
ARTICLE
Square-Mean Pseudo Almost Periodic Solutions of Infinite Class in the α -Norm under the Light of Measure Theory
Djendode Mbainadji, Teubé Cyrille Mbainaissem, Issa Zabsonre
This work concerns the existence and uniqueness of square-mean pseudo almost periodic solutions of infinite class in the α -norm. The results are obtained using analytic semigroup, fractional α -power theory and by making use of Banach fixed point theory. As result, we obtain a generalization of the work of Zabsonre et al. [Partial Differenti(...)
measure theory; ergodicity; (μ, ν)-pseudo almost automorphic function; evolution equations; partial functional differential equations; Stochastic processes; stochastic evolution equations.