Publications (388)
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
Nonlinear multivalued problems with variable exponent and diffuse measure data in anisotropic space
I. Konaté, S. Ouaro
We study a nonlinear elliptic problem governed by a general anisotropic operator with variable exponents and Radon diffuse measure data. We start by proving the existence of a renormalized solution and we establish that the notion of renormalized solution is equivalent to the notion of entropy solution. Finally, we show the uniqueness of the e(...)
nonlinear elliptic equation; renormalized solution; entropy solution
ARTICLE
On a dual formulation for growing sandpile problem with mixed boundary conditions
N. Igbida, F. Karami, S. Ouaro, U. Traoré
In this work, we introduce and study a Prigozhin model for growing sandpile with mixed boundary conditions. For theoretical analysis we use semi-group theory and the numerical part is based on a duality approach.
sandpile; mixed boundary conditions; subdifferential operator; nonlinear semigroup dual formulation; numerical approximation
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
On the global dynamics of a vector-borne disease model with age of vaccination
S. Ouaro, A. Traoré
We study a vector-borne disease with age of vaccination. A nonlinear incidence rate including mass action and saturating incidence as special cases is considered. The global dynamics of the equilibria are investigated, and we show that if the basic reproduction number is less than 1, then the disease-free equilibrium is globally asymptotically(...)
global dynamics of equilibria; basic reproduction number less than 1; disease-free equilibrium; global asymptotic stability
ARTICLE
Multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations
S. Ouaro, M. Zoungrana
This paper is concerned with the existence and multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations.
They begin by giving some basic definitions and preliminary results where they define the generalized gradient of a function, coercive and anti-coercive function. Then they introduce three critical points theor(...)
p(k)-Laplace; multiple solutions; discrete inclusions; three critical points theorem; locally Lipschitz continuous functions
ARTICLE
Weak heteroclinic solutions of discrete nonlinear problems of Kirchhoff type with variable exponents
A. Guiro, I. Ibrango, S. Ouaro
We prove the existence of weak heteroclinic solutions for discrete nonlin- ear problems of Kirchhoff type. The proof of the main result is based on a minimiza- tion method.
nonlinear difference equation, heteroclinic solution, anisotropic prob- lems, Kirchhoff, critical points
ARTICLE
SEIRS epidemics with disease fatalities in growing populations
Tom Britton, Désiré Ouédraogo
An SEIRS epidemic with disease fatalities is introduced in a growing population (modelled as a super-critical linear birth and death process). The study of the initial phase of the epidemic is stochastic, while the analysis of the major outbreaks is deterministic. Depending on the values of the parameters, the following scenarios are possible.(...)
SEIRS epidemic, Threshold quantities, Initial growth, Endemic level
ARTICLE
Solving a linear convection-diffusion problem of Cauchy Kind by Laplace-Adomian method
Joseph Bonazebi-Yindoula, PARE Youssouf, Francis BASSONO and Gabriel BISSANGA
In this paper, the Laplace-Adomian method is used to construct the solution of a convection-diffusion equation
Laplace-Adomian method, convection, diffusion
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
p(⋅) -parabolic capacity and decomposition of measures
S. Ouaro, U. Traoré
In this paper, we develop a concept of p(⋅)-parabolic capacity in order to give a result of decomposition of measures (in space and time) which does not charge the sets of null capacity
parabolic capacity; decomposition of measure; variable exponent; quasicontinuous function
ARTICLE
SEIS MODEL WITH MULTIPLE LATENT STAGES AND TREATMENT IN AN EXPONENTIALLY GROWING POPULATION
S. Ouaro, D. Ouédraogo
An SEnIS epidemiological model with vital dynamics in an exponentially growing population is dis- cussed. Without treatment three threshold parameters R0,R1 and R2 determine the dynamic of compartments sizes and that of the fractions. With the treatment the dynamics of the population and that of the epidemic depend on three other threshold par(...)
mathematical model; epidemiological model; Lyapunov function; numerical simulations
ARTICLE
Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents
A. Guiro, I. Ibrango, S. Ouaro
In this paper, we prove the existence of weak homoclinic solutions for discrete nonlinear problems of Kirchhoff type. The proof of the main result is based on a minimization method. As extension, we prove the existence result of weak homoclinic solutions for more general data depending on the solutions
Growth, boundedness, comparison of solutions to difference equations