Publications (216)
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
ARTICLE
Global dynamics of a seasonal mathematical model of schistosomiasis transmission with general incidence function
TRAORE Bakary, KOUTOU Ousmane, SANGARE Boureima
In 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 and methods of dynamical systems, we show that the(...)
Schistosomiasis, Nonautonomous Model, General Incidence Function, Basic Reproduction Ratio, Uniform Persistence, Global Stability, Numerical Simulations
ARTICLE
Mathematical model of malaria transmission dynamics with distributed delay and a wide class of nonlinear incidence rates
KOUTOU Ousmane, TRAORE Bakary, SANGARE Boureima
Generally, 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 nonlinear transmission rate. But they were silent on the(...)
malaria transmission dynamics, delay differential equations, basic reproduction number, wide class of incidence rates, numerical simulations, limit cycles
ARTICLE
A mathematical model with a trophic chain predation based on the ODEs to describe fish and plankton dynamics
Hamidou Ouedraogo, Wendkouni Ouedraogo, and Boureima Sangare
The aim of this paper is the formulation and the study of a prey-predator model
to describe fish and plankton population dynamics, with three developmental stages of the
fish population (larva, juvenile and adult). First, we develop a mathematical model based on
the ODEs, describing the dynamics of the various classes for the fish populatio(...)
Populations dynamics, global stability, fishing effort, prey-predator model, ODEs system
ARTICLE
A Self-Diffusion Mathematical Model to Describe the Toxin Effect on the Zooplankton-Phytoplankton Dynamics
Ouedraogo, Hamidou; Ouedraogo, Wendkouni; Sangaré, Boureima
The main goal of this work is the mathematical formulation, the analysis
and the numerical simulation of a prey-predator model by taking into account the
toxin produced by the phytoplankton species. The mathematical study of the model
leads us to have an idea on the existence of solution, the existence of equilibria and the
stability of th(...)
Mots clés non renseignés
ARTICLE
Application of the SBA Method for Solving the Partial Differential Equation
Gires Dimitri NKAYA, Francis Bassono, Rasmané Yaro, BISSANGA Gabriel
The nonlinear problem play a significant role in many diverse areas of science and technology. Many problem are gou-verned by partial differential equations, or by systems of partial differential equations. It is difficult to find their exactsolutions. In this paper, we use the Some Blaise Abbo (SBA) method to find the exact solution of some w(...)
SBA method, wave-like equation
ARTICLE
Contribution to the estimation by projection of the operator of a moving average with values in a Hilbert space
Armand Du Barry, V. KONANE, Dembo Gadiaga
This paper is a contribution to the method of estimation by projection.
We revisited the work of Bosq and Turbillon [3]. First, we propose
extensions and simpli ed proofs of some of the results of the article
[3]. Secondly, we proposed and demonstrated results of convergence.
Finally, we apply the model on real data of the turnover of an i(...)
Mots clés non renseignés
ARTICLE
Weighted pseudo almost periodic and pseudo almost automorphic solutions of class r for some partial differential equations
Khalil Ezzinbi, Hamidou Toure, Issa Zabsonre
The aim of this work is to present new approach to study weighted pseudo almost periodic and 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 study the exis(...)
Mots clés non renseignés
ARTICLE
Mathematical modeling of malaria transmission global dynamics: taking into account the immature stages of the vectors
KOUTOU Ousmane, TRAORE Bakary, SANGARE Boureima
In this paper we present a mathematical model of malaria transmission. The model is an autonomous system, constructed by considering two models: a model of vector population and a model of virus transmission. The threshold dynamics of each model is determined and a relation between them established. Furthermore, the Lyapunov principle is appli(...)
Mosquitoes, Malaria transmission, Thresholds dynamics, Stability, Lyapunov principle
ARTICLE
A reaction diffusion model to describe the toxin effect on the fish-plankton population
Wendkouni Ouedraogo, Hamidou Ouedraogo, Boureima Sangaré
This paper is aimed at the mathematical formulation, the analysis, and the numerical simulation of a prey-competitor-predator model by taking into account the toxin produced by the phytoplankton species. The mathematical study of the model leads us to have an idea on the existence of solution, the existence of equilibria, and the stability of(...)
Prey-predator, toxin effect, pattern
ARTICLE
NON-LOCAL BOUNDARY CONDITIONS FOR NONLINEAR ELLIPTIC PROBLEMS WITH BOUNDED DATA AND GENERAL FUNCTIONS
STANISLAS OUARO AND SAFIMBA SOMA
In this article, we study the existence and uniqueness of solutions for nonlinear elliptic problems with non-local boundary conditions. In order to get the unique solution, we study first an auxiliary problem, for which we deduce useful a priori estimates. The study of the auxiliary problem gives us the equivalence between this kind of problem(...)
Leray–Lions type operator, non-local boundary conditions, operator of type M, standard monotonicity arguments.
ARTICLE
Entropy Solution to Nonlinear Elliptic Problem with Non-local Boundary Conditions and L1-data
OUARO Stanislas and SOMA Safimba
We study a nonlinear elliptic problem with non-local boundary conditions and L1-data. We prove an existence and uniqueness result of an entropy solution.
: Entropy solution; non-local boundary conditions; Leray-Lions operator.
ARTICLE
Weighted Stepanov-like pseudo almost periodic solutions of class r for some partial differential equations
Issa Zabsonré
The aim of this work is to present new approach to study weighted Stepanov-like pseudo almost periodic 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(...)
Mots clés non renseignés
ARTICLE
Nonlinear elliptic problem involving non-local boundary conditions and variable exponent
Stanislas Ouaro and Safimba Soma
We study a nonlinear elliptic problem with non-local boundary conditions and variable exponent. We prove an existence and uniqueness result of weak solution to this problem with general maximal monotone graphs.
Non-local boundary conditions; maximal monotone graph; Leray–Lions operator; variable exponent; weak solution