Publications (199)
ARTICLE
A mathematical model of malaria transmission dynamics with general incidence function and maturation delay in a periodic environment
TRAORE Bakary, KOUTOU Ousmane, SANGARE Boureima
In this paper, we investigate a mathematical model of malaria transmission dynamics with maturation delay of a vector population in a periodic environment. The incidence rate between vector and human hosts is modeled by a general nonlinear incidence function which satisfies a set of conditions. Thus, the model is formulated
as a system of re(...)
Malaria transmission, delay differential equations, basic reproduction number, numerical simulations, periodic environment, general incidence function
ARTICLE
Existence and regularity of solutions for some nonlinear second order differential equation in banach spaces
Issa Zabsonre and Micailou Napo
In this work, we study the existence and regularity of solutions for some nonlinear second order differential equation. The delayed part is assumed to be locally lipschitz. Firstly, we show the existence of the mild solutions. Secondly, we give sufficiently conditions ensuring the existence of strict solutions.
Mots clés non renseignés
COMMUNICATION
Journées Scientifiques sur Mathematical Models in Evolutionary Biology
Hamidou OUEDRAOGO
Cette communication a pour objectif fondamental de présenter la dynamique de l’évolution d’une population de
poisson structurée en tenant en compte la bifurcation le mouvement de cross. Nous présentons la
construction et l’étude de modèles faiblement structurés, basés sur des systèmes d’EDO. Cette structuration en
taille de la population(...)
Population, prey-predator, bloom
ARTICLE
A NEW ADOMIAN APPROACH FOR SOLVING PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS SECOND KIND OF FREDHOLM AND VOLTERRA
Abdoul Wassiha Nébié, Youssouf Paré and Rasmané Yaro
We propose a new approach based on the Adomian decomposition
method (ADM) to solve partial integro-differential equations. We
have successfully tested the method on Fredholm and Volterra’s
second species integro-differential equations.
to the Adomian method Fredholm’s and Volterra’s second species partial integro-differential equations
COMMUNICATION
PDE and Probability for Biology – EDP et probabilités pour la biologie
Hamidou OUEDRAOGO
Cette communication que je propose a été faite lors des semaines scientifiques de l’Université Aix-Marseille dans le
CIRM tenue du 03 au 07 Février 2020. Nous avons présenté un système de réaction-diffusion pour modéliser la
dynamique spatio-temporelle de l’ensemble poisson-plancton soumis à une pression de la pêche dans un
environnement(...)
Phytoplankton, zooplankton, toxin
ARTICLE
The Kneser Property in α-norm for Nonlinear Differential Equations in Banach Space
Hamidou TOURE, Issa ZABSONRE
In this work, we establish that the set of integral solutions of some partial functional differential equations is connected in the space of continuous functions.
Mots clés non renseignés
ARTICLE
Existence of solutions for some nonautonomous partial functional differential equations with state-dependent delay
Moussa El-KhalilL Kpoumie, Abdel Hamid Gamal Nsangou, Patrice Ndambomve, Issa Zabsonre and Salifou Mboutngam
The aim of this work is to prove the existence of mild solutions for some nondensely nonautonomous partial functional diferential equations with state-dependent delay in Banach spaces. We assume that the linear part is not necessarily densely deined and generates an evolution family. Our approach is based on a nonlinear alternative of Leray-Sc(...)
Mots clés non renseignés
ARTICLE
Optimal control of malaria transmission dynamics combining some usual strategies and an imperfect vaccine
KOUTOU Ousmane, SANGARE Boureima, TRAORE Bakary
This work is an extension of a previous publication. An optimal control
theory is applied to a model of malaria transmission dynamics to investigate
the control strategies for eliminating malaria using time dependent controls.
Four main efforts are considered including the treatment of infected humans,
the individual protection, vectors co(...)
mathematical modeling, malaria dynamics, optimal control, usual strategies, vaccination, Pontryagin’s Maximum Principle
ARTICLE
Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion
Hamidou Ouedraogo, Wendkouni Ouedraogo, Boureima Sangaré
In this paper we propose a nonlinear
reaction-diffusion system describing the interaction
between toxin-producing phytoplankton and fish
population. We analyze the effect of self- and
cross-diffusion on the dynamics of the system. The
existence, uniqueness and uniform boundedness of
solutions are established in the positive octant. The(...)
Pattern formation, self-diffusion, crossdiffusion, stability analysis, numerical simulations
ARTICLE
Weighted Stepanov-like pseudo almost automorphic solutions of class r for some partial differential equations
Hamidou Toure, Issa Zabsonre
The aim of this work is to study weighted Stepanov-like pseudo almost automorphic functions using the measure theory. We present a new concept of weighted ergodic functions which is more general than the classical one. Then we establish many interesting results on the functional space of such functions. We also study the existence and uniquene(...)
Mots clés non renseignés
ARTICLE
Bifurcation and stability Analysis in Complex Cross-Diffusion Mathematical Model of Phytoplankton-Fish Dynamics
OUEDRAOGO Hamidou, OUEDRAOGO Wendkouni and SANGARE Boureima ´ ∗
In this paper, we propose a nonlinear reaction-diffusion system describing the interaction
between toxin-producing phytoplankton and fish population. We analyze the effect of cross-diffusion on
the dynamics of the system. The mathematical study of the model leads us to have an idea on the existence
of a solution, the existence of equilibria(...)
Toxin effect; populations dynamics; predator-prey model; reaction-diffusion system; bifurcation; pattern formation.
ARTICLE
Derivations and Dimentionally Nilpotent Derivations in Lie Algebras
Abdoulaye DEMBEGA , Amidou KONKOBO, MOUSSA OUATTARA
In this paper, we first study derivations in non nilpotent Lie triple algebras. We determine the structure of derivation algebra according to whether it admits an idempotent or a pseudo-idempotent. We study the multiplicative structure of non nil dimensionally nilpotent Lie triple algebras. We show that when n=2 p+1 the adapted basis coincides(...)
Dimensionally nilpotent Lie triple algebra, pseudo-idempotent, Jordan algebra, ascending basis
ARTICLE
AN ANALYTICAL SOLUTION OF PERTURBED FISHER’S EQUATION USING HOMOTOPY PERTURBATION METHOD (HPM), REGULAR PERTURBATION METHOD (RPM) AND ADOMIAN DECOMPOSITION METHOD (ADM)
MOUSSA BAGAYOGO, YOUSSOUF MINOUNGOU, YOUSSOUF PARÉ
In this paper, Homotopy Perturbation Method (HPM), Regular PertubationMethod
(RPM) and Adomian decomposition Method (ADM) are applied to Fisher equation. Then, the
solution yielding the given initial conditions is gained. Finally, the solutions obtained by each
method are compared.
Key
Fisher equation, ,Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM), Adomian decomposition Method (ADM)
ARTICLE
General Solution of Linear Partial Differential Equations Modeling Homogeneous diffusion-convection-reaction Problems with Cauchy Initial Condition
Minoungou Youssouf, Bagayogo Moussa, Youssouf Pare
In this paper, we propose the general solution of di usion-convection-reaction homogeneous problems with condition initial of Cauchy, using the SBA numerical method. This method is based on the combination of the Adomian Decompositional Method(ADM), the successive approximations method and the Picard principle.
SBA method, Adomian Decompositional Method(ADM), homogeneous Diffusion-convection-reaction problem
ARTICLE
Elliptic problem involving non-local boundary conditions
Noureddine Igbida and Soma Safimba
In this paper, we study existence and uniqueness of a solution for a nonlinear elliptic problem subject to nonlocal boundary condition. Moreover, we prove the equivalence between this kind of problem and nonlinear problem with very large diffusion around the boundary.
Non-local boundary conditions Maximal monotone graph Leray–Lions operator