Publications (197)
ARTICLE
Stability of a Vector-Borne Disease Model with a Delayed Nonlinear Incidence
TRAORE AliA vector-borne disease model with spatial diffusion with time delays and a general incidence function is studied. We derived conditions under which the system exhibits threshold behavior. The stability of the disease-free equilibrium and the endemic equilibrium are analyzed by using the...
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Weak Solutions of Anti-periodic Discrete Nonlinear Problems
RODRIGUE SANOU, IDRISSA IBRANGO, BLAISE KONÉ, ABOUDRAMANE GUIROWe consider the existence of weak solutions for discrete nonlinear
problems. The proof of the main result is based on a minimization method.
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Entropy solutions for some elliptic problems involving the genralized p(u)-Laplacian operator.
Temghart Ait Said, Allalou Chakir, Hilal Khalid, Ouaro StanislasIn this paper, we study the existence of entropy solutions for some generalized el- liptic p(u)-Laplacian problem when p(u) is a local quantity. We get the results by assuming the right-hand side function f to be an integrable function, and by using the regularization approach combined with the...
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Stepanov-like pseudo almost automorphic solutions of class r in α-norm under the light of measure theory
DJENDODE MBAINADJI AND ISSA ZABSONREThe aim of this work is to present some interesting results on weighted ergodic functions and prove the existence and uniqueness of Stepanov-like pseudo almost automorphic solutions using the spectral decomposition of the phase space developed by Adimy and co-authors. We also give the next...
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Combinatorics on words obtaining by k to k substitution and k to k exchange of a letter on modulo-recurrent words
Moussa Barro, K. Ernest Bognini and Théodore TapsobaWe introduce two new concepts which are the $k$ to $k$ substitution and $k$ to $k$ exchange of a letter on infinite words. After studying the return words and the special factors of words obtaining by these applications on Sturmian words and modulo-recurrent words. Next, we establish the...
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Exact solution of a fractional model of the dynamics of two competing prey-predator population using the SBA numerical method
Bationo Jérémie Yiyuréboula, Bassono FrancisWe use the SBA numerical method by applying Picard's principle for solving a system of fractional equations. We first state the convergence of the SBA algorithm before proceeding to the search for possible solution. A graphical representation of the solution for different values of the...
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Global Properties of a Delayed Vector‐borne Disease Model with Partial Protection of Susceptible Humans
OUEDRAOGO Harouna, TRAORE AliA delayed vector-borne disease model is formulated to investigate the effect of a partial protection of the human population on the epidemic extinction. This model depicts the situation of the self protection of the population or protection conducted by a government when an epidemic outbreak...
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Exponential stability for coupled Lameé system with a fractional derivative time Delay.
Noureddine Taouaf, Akram Ben Aissa et Gilbert BayiliWe develop a detailed analysis for a coupled Lamé system with fractional time delay. We show by using a semigroup approach and the well-known Dafermos auxiliary variable, that the system is well-posed. Moreover, we analyze stability issue for the considered system. Namely, under a suitable...
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Local existence and regularity of solutions for some second order differential equation with infinite delay
MICAILOU NAPO, MOHAMADO KIEMA, AND ISSA ZABSONREIn this work, we study the existence and regularity of solutions for some second order dierential equations with innite delay in Banach spaces. We suppose that the undelayed part admits a cosine operator in the sense given
by Da Prato and Giusi, [ G. Da Prato and E. Giusi, Una...
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Multiple solutions of a discrete nonlinear boundary value problem involving p(k)-Laplace Kirchhoff type operator
Moussa Brahim, Nyanquini Ismaël, Ouaro StanislasIn this article, we prove the existence of at least one or two nontrivial solutions of a discrete nonlinear boundary value problem of p(k)-Laplace Kirchhoff type in a finite dimensional Banach space. Our approach is based on variational methods and on critical point theory.
ARTICLE
Global Properties of a Delayed Vector‑borne Disease Model with Partial Protection of Susceptible Humans
OUEDRAOGO Harouna, TRAORE AliA delayed vector-borne disease model is formulated to investigate the effect of a partial protection of the human population on the epidemic extinction. This model depicts the situation of the self protection of the population or protection conducted by a government when an epidemic outbreak...
ARTICLE
Global Properties of a Delayed Vector‑borne Disease Model with Partial Protection of Susceptible Humans
OUEDRAOGO Harouna, TRAORE AliA delayed vector-borne disease model is formulated to investigate the effect of a partial protection of the human population on the epidemic extinction. This model depicts the situation of the self protection of the population or protection conducted by a government when an epidemic outbreak...
ARTICLE
Existence, Regularity, and Stability in the α-Norm for Some Neutral Partial Functional Differential Equations in Fading Memory Spaces
Khalil Ezzinbi, Bila Adolphe Kyelem, Stanislas OuaroTheaimofthischapteristostudytheregularityandthestabilityinthe.α- norm for neutral partial functional differential equations in fading memory spaces. We assume that a linear part is densely defined and generates an analytic semigroup. The delayed part is assumed to be Lipschitzian. For...
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Discrete Potential Boundary-Value Problems of Kirchhoff Type
Dianda Abdoul Aziz Kalifa, Ouaro StanislasIn this chapter, we prove the existence of solutions for some discrete nonlinear difference equations of Kirchhoff type subjected to a potential boundary- value condition. We make use of a variational technique that relies on Szulkin’s critical point theory, which ensures the existence of...
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Structural Stability of p(x)-Laplace Problems with Robin-Type Boundary Condition
106- Kansie Kpè, Ouaro StanislasIn this chapter, a continuous dependence result on coefficients of solu- tions of the nonlinear nonhomogeneous Robin boundary-value problems involving the .p(x)-Laplace operator is established