Publications (460)
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
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
ARTICLE
A stochastic vector-borne epidemic model: Quasi-stationarity and extinction
Tom Britton, Ali Traoré
We consider a stochastic model describing the spread of a vector borne disease in a community where individuals (hosts and vectors) die and new individuals (hosts and vectors) are born. The time to extinc- tion of the disease, TQ, starting in quasi-stationary (conditional on non extinction) is studied. Properties of the limiting distribution a(...)
Diffusion approximation, Quasi-stationary distribution , Vector-borne disease, Time to extinction
ARTICLE
Equations des algèbres Lie triple qui sont des algèbres train.
Joseph Bayara, Amidou Konkobo, Moussa Ouattara
In this paper, we consider equations of Lie triple algebras that are train algebras. We obtain two different types of equations depending on assuming the existence of an idempotent or a pseudo-idempotent.
In general Lie triple algebras are not power-associative. However we show that their train equation with an idempotent is similar to trai(...)
Lie triple algebra; Pseudo-idempotent; Jordan algebra; Peirce decomposition; Train algebra
ARTICLE
Growing sandpile problem with Dirichlet and Fourier boundary conditions
E. Nassouri, S. Ouaro, U. Traoré
In this work, we study the Prigozhin model for growing sandpile with mixed boundary conditions and an arbitrary time dependent angle of repose. On one part of the boundary the homogeneous Dirichlet boundary condition is provided, on the other one the Robin condition is used. Using the implicit Euler discretization in time, we prove the existen(...)
growing sandpile; Fourier boundary condition; nonlinear semi-group; Dirichlet boundary condition; Euler discretization in time