Publications (199)
ARTICLE
Mathematical analysis of a fish-plankton eco-epidemiological system
Assane Savadogo 1 , Hamidou Ouedraogo 2 , Boureima Sangare´ 2 ,Wendkouni Ouedraogo 3
In this paper, we have formulated and analyzed a mathematical model describing the dynamics of the phytoplankton producing toxin and the fish population by using an ordinary differential
equations system. The phytoplankton population is divided into two groups, namely infected phytoplankton and susceptible phytoplankton. We aim to analyze t(...)
susceptible phytoplankton, basic reproduction ratio, fish, global stability, viral, infection
ARTICLE
ZIV-LEMPEL AND CROCHEMORE FACTORIZATIONS OF THE GENERALIZED PERIOD-DOUBLING WORD
K. Ernest Bognini, Idrissa Kaboré, Boucaré Kientéga
In this paper, we study the period-doubling word Pq over Aq, qgeq 2. Some combinatorial properties of Pq are established. The Ziv-Lempelfactorization and the Crochemore factorization of Pq are also given.
infinite word, substitution, factor, palindrome, factorization, period-doubling word
ARTICLE
Skew-Constacyclic Codes Over F_q [v]/ ‹ v^q -v ›
Joël Kabore, Alexandre Fotue-Tabue, Kenza Guenda, Mohammed E. Charkani
In this paper, we investigate the algebraic structure of the
non-chain ring F_q [v]/ ‹ v^q -v › , followed by the description of its
group automorphisms to get the algebraic structure of codes and their
dual over this ring. Further, we explore the algebraic structure of
skew-constacyclic codes by showing that their images by a linear Gray(...)
non-chain ring, skew-constacyclic codes, Gray map, self-dual skew codes
ARTICLE
Statistical Modeling and Forecast of the Corona-Virus Disease (Covid-19) in Burkina Faso
VICTORIEN F. KONANE, Ali TRAORE
In this paper, we present and discuss a statistical modeling framework for the coronavirus COVID-19 epidemic in Burkina Faso. We give a detailed analysis of well-known models, the ARIMA and the Exponential Smoothing model.
The main purpose is to provide a prediction of the cumulative number of confirmed cases to help authorities to take bette(...)
COVID-19, ARIMA models, Exponential smoothing models, Forecasting
ARTICLE
Modeling the effects of contact tracing on COVID-19 transmission
Ali Traoré, Fourtoua Victorien Konané
In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The contact tracing-induced reproduction number Rq
and equilibrium for the model are determined and stabilities are examined. The global stabilities results are achieved by constructing Lyapunov functions. The contact tracing-induced reproduction numbe(...)
COVID-19, Mathematical model, Stability, Lyapunov function, Contact tracing
ARTICLE
Modeling the effects of contact tracing on COVID-19 transmission
Ali Traoré, Fourtoua Victorien Konané
In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The contact tracing-induced reproduction number Rq and equilibrium for the model are determined and stabilities are examined. The global stability results are achieved by constructing Lyapunov functions. The contact tracing-induced reproduction number Rq(...)
covid 19, mathematical model, stability, lyapunov function, contact tracing
ARTICLE
Mathematical analysis of mosquito population global dynamics using delayed-logistic growth
KOUTOU Ousmane, SANGARE Boureima, DIABATE Abou Bakari
Malaria is a major public health issue in many parts of the world, and the anopheles mosquitoes which drive
transmission are key targets for interventions. Consequently, a best understanding of mosquito populations
dynamics is necessary in the fight against the disease. Hence, in this paper we propose a delayed mathematical
model of the lif(...)
Mosquitoes population, delayed-logistic growth, malaria transmission, mathematical analysis
ARTICLE
Pseudo almost periodic solutions of infinite class under the light of measure theory and applications
Issa Zabsonre, Djokata Votsia
The aim of this work is to present a new approach to study weighted pseudo almost periodic functionswith infinite delay using the measure theory.We study the existence and uniqueness of pseudo almost periodic solutions of infinite
class for some neutral partial functional differential equations in a Banach space when the delay is distributed(...)
Mots clés non renseignés
ARTICLE
Primitive idempotents and constacyclic codes over finite chain rings
Mohammed Elhassani Charkani, Joël Kabore
Let R be a commutative local nite ring. In this paper, we construct the complete set of pairwise orthogonal primitive idempotents of R[X]/ where g is a regular polynomial in R[X]. We use this set to decompose
the ring R[X]/ and to give the structure of constacyclic codes over
nite chain rings. This allows us to describe generators of th(...)
finite chain ring, idempotent, constacyclic code
ARTICLE
SOME COMBINATORIAL PROPERTIES AND LYNDON FACTORIZATION OF THE PERIOD-DOUBLING WORD
K. Ernest Bognini, Idrissa Kaboré, Théodore Tapsoba
In this paper, we study some properties of finite factors of the period-doubling word. More precisely, we focus on the structure of its palindromes and establish its Lyndon factorization.
infinite word, factor, palindrome, Lyndon word, factorization, period-doubling word
ARTICLE
Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory
Issa Zabsonre, Djendode Mbainadji
Using the spectral decomposition of the phase space developed in Adimy and co-authors, we present a new approach to study weighted pseudo almost automorphic functions in the α-norm using the measure theory.
Mots clés non renseignés
ARTICLE
Same decay rate of second order evolution equations with or without delay.
Gilbert Bayili ; Akram Ben Aissa; Serge Nicaise
We consider abstract second order evolution equations with unbounded feedback with delay. If the delay term is small enough, we rigorously prove the fact that the system with delay has the same decay rate than the one without delay. Some old and new results easily follow.
Second order evolution equations, Wave equations, Delay Stabilization
ARTICLE
A global mathematical model of malaria transmission dynamics with structured mosquito population and temperature variations
TRAORE Bakary, KOUTOU Ousmane, SANGARE Boureima
In this paper, a mathematical model of malaria transmission which takes into account the four distinct mosquito metamorphic stages is presented. The model is formulated thanks to the coupling of two sub-models, namely the model of mosquito population and the model of malaria parasite transmission due to the interaction between mosquitoes and h(...)
Malaria transmission, Basic reproduction ratio, Vector reproduction ratio, Mosquito population, Temperature variations, Global stability
ARTICLE
Existence and regularity of solutions in α-norm for some partial functional integrodifferential equations in banach Spaces
Issa Zabsonre, Djendode Mbainadji
In this work, we study the existence and regularity of solutions in α-norm for some partial functional integrodifferential equations in Banach spaces. We suppose that the undelayed part admits a resolvent operator, the delayed part is assumed to be locally lipschitz. Firstly, we show the existence of mild solutions. Secondly, we give sufficien(...)
Mots clés non renseignés
ARTICLE
CROSS AND SELF-DIFFUSION MATHEMATICAL MODEL WITH NONLINEAR FUNCTIONAL RESPONSE FOR PLANKTON DYNAMICS
HAMIDOU OUEDRAOGO, BOUREIMA SANGARE AND WENDKOUNI OUEDRAOGO
The aim of this paper is to show with a functional Beddington-DeAngelis response, that cross-diffusion plays an important role in the phenomenon of toxin-productionphytoplankton (TPP) in the dynamics of zooplankton and phytoplankton system. The
demonstration tools are mainly based on the theory of fixed point indices and analytical techniq(...)
Toxin effect; reaction-diffusion system; index theory; pattern formation