Publications (197)
COMMUNICATION
Journées Scientifiques sur Mathematical Models in Evolutionary Biology
Hamidou OUEDRAOGOCette 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...
COMMUNICATION
PDE and Probability for Biology – EDP et probabilités pour la biologie
Hamidou OUEDRAOGOCette 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...
ARTICLE
A NEW ADOMIAN APPROACH FOR SOLVING PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS SECOND KIND OF FREDHOLM AND VOLTERRA
Abdoul Wassiha Nébié, Youssouf Paré and Rasmané YaroWe 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.
ARTICLE
The Kneser Property in α-norm for Nonlinear Differential Equations in Banach Space
Hamidou TOURE, Issa ZABSONREIn this work, we establish that the set of integral solutions of some partial functional differential equations is connected in the space of continuous functions.
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 MboutngamThe 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...
ARTICLE
Optimal control of malaria transmission dynamics combining some usual strategies and an imperfect vaccine
KOUTOU Ousmane, SANGARE Boureima, TRAORE BakaryThis 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...
ARTICLE
Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion
Hamidou Ouedraogo, Wendkouni Ouedraogo, Boureima SangaréIn 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...
ARTICLE
Weighted Stepanov-like pseudo almost automorphic solutions of class r for some partial differential equations
Hamidou Toure, Issa ZabsonreThe 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...
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...
ARTICLE
Derivations and Dimentionally Nilpotent Derivations in Lie Algebras
Abdoulaye DEMBEGA , Amidou KONKOBO, MOUSSA OUATTARAIn 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...
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 PARÉIn 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
ARTICLE
General Solution of Linear Partial Differential Equations Modeling Homogeneous diffusion-convection-reaction Problems with Cauchy Initial Condition
Minoungou Youssouf, Bagayogo Moussa, Youssouf PareIn 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...
ARTICLE
Elliptic problem involving non-local boundary conditions
Noureddine Igbida and Soma SafimbaIn 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.
ARTICLE
Global dynamics of a seasonal mathematical model of schistosomiasis transmission with general incidence function
TRAORE Bakary, KOUTOU Ousmane, SANGARE BoureimaIn this paper, we investigate a nonautonomous and an autonomous model of schistosomiasis transmission with a general incidence function. Firstly, we formulate the nonautonomous model by taking into account the effect of climate change on the transmission. Through rigorous analysis via theories...
ARTICLE
Mathematical model of malaria transmission dynamics with distributed delay and a wide class of nonlinear incidence rates
KOUTOU Ousmane, TRAORE Bakary, SANGARE BoureimaGenerally, the infection process of most vector-borne diseases involves a latent period in both human hosts and vectors. With regards to other publications, Tian and Song have recently proposed an SIR-SI model to analyze the effects of the incubation period on a vector-borne disease with...