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Publications (21)
(1) Background: The ongoing COVID-19 pandemic has posed significant global challenges; its impact in Africa, in particular, has been a subject of increasing concern. Vaccination against COVID-19 started in many African countries in 2020. Despite the remarkable progress made by a selected number of countries initiating vaccination campaigns in 2020,...
This work examines the global dynamics of classical solutions of a two‐stage (juvenile–adult) reaction–diffusion population model in time‐periodic and spatially heterogeneous environments. It is shown that the sign of the principal eigenvalue of the time‐periodic linearized system at the trivial solution completely determines the persistence of the...
This work examines the global dynamics of classical solutions of a two-stage (juvenile-adult) reaction-diffusion population model in time-periodic and spatially heterogeneous environments. It is shown that the sign of the principal eigenvalue $\lambda_*$ of the time-periodic linearized system at the trivial solution completely determines the persis...
African swine fever (ASF) is endemic in many African countries, and its control is challenging because no vaccine or treatment is available to date. Nowadays, mathematical modeling is a key tool in infectious disease studies, complementing traditional biological investigations. In this study, we propose and analyze a mathematical model for the tran...
This work examines the dynamics of solutions of a two-strain SIS epidemic model in patchy environments. The basic reproduction number $\mathcal{R}_0$ is introduced, and sufficient conditions are provided to guarantee the global stability of the disease-free equilibrium (DFE). In particular, the DFE is globally stable when either: (i) $\mathcal{R}_0...
Let \(\Omega\) be a bounded regular domain of \( \mathbb{R}^N\), \(N\geqslant 1\), \(p\in (1,+\infty)\), and \( s\in (0,1) \). We consider the eigenvalue problem $$\displaylines{ (-\Delta_p)^s u + V|u|^{p-2}u= \lambda m(x)|u|^{p-2}u \quad\hbox{in } \Omega \cr u=0 \quad \hbox{in } \mathbb{R}^N \setminus \Omega, }$$ where the potential V and the weig...
Several effective COVID-19 vaccines are administered to combat the COVID-19 pandemic globally. In most African countries, there is a comparatively limited deployment of vaccination programs. In this work, we develop a mathematical compartmental model to assess the impact of vaccination programs on curtailing the burden of COVID-19 in eight African...
We study the large-time behavior of a two-species competition model in a spatially heterogeneous environment and investigate the influence of dispersal strategy on the competition. In particular, we allow one species to exhibit a random dispersal movement while the second species is constrained to a non-spatial movement dynamic. We show that there...
In this article, we are interested in the simplicity and the existence of the first eigensurface for the third order spectrum of p-biharmonic operator plus potential with weights and the existence of multiple solutions for associated concave-convex type equation under Navier boundary conditions.
This paper extends the eigensurface of p -bilaplacian operator to examine existence and simplicity of the first eigensurface for the third-order spectrum of p , q -biharmonic systems subject to boundary conditions.
The authors study the existence of weak solutions for a $(p_1,...,p_n)$-biharmonic system via mountain pass theorem and establish semitrivial principal and strictly principal eigenvalues, positivity and simplicity results.
The widely used logistic model for epidemic case reporting data may be either restrictive or unrealistic in presence of containment measures when implemented after an epidemic outbreak. For flexibility in epidemic case reporting data modeling, we combined an exponential growth curve for the early epidemic phase with a flexible growth curve to accou...
The widely used logistic model for epidemic case reporting data may be either restrictive or unrealistic in presence of containment measures when implemented after an epidemic outbreak. For flexibility in epidemic case reporting data modelling, we combined an exponential growth curve for the early epidemic phase with a flexible growth curve to acco...
Most existing flexible count distributions allow only approximate inference when used in a regression context. This work proposes a new framework to provide an exact and flexible alternative for modeling and simulating count data with various types of dispersion (equi-, under-, and overdispersion). The new method, referred to as “balanced discretiz...
The widely used logistic model for epidemic case reporting data may be either restrictive or unrealistic in presence of containment measures when implemented after an epidemic outbreak. For flexibility in epidemic case reporting data modelling, we combined an exponential growth curve for the early epidemic phase with a flexible growth curve to acco...
Most existing flexible count regression models allow only approximate inference. This
work proposes a new framework to provide an exact and flexible alternative for modeling and simulating count data with various types of dispersion (equi-, under- and overdispersion). The new method, referred as “balanced discretization”, consists in discretizing c...
We deal with the existence of weak solutions of the nonlinear problem $-\Delta_{p}u+V|u|^{p-2}u$ in a bounded smooth domain $\Omega\subset \mathbb{R}^{N}$ which is subject to the boundary condition $|\nabla u|^{p-2}\frac{\partial u}{\partial \nu}=f(x,u)$. Here $V\in L^{\infty}(\Omega)$ possibly exhibit both signs which leads to an extension of part...
We study two asymmetric Steklov problems with indefinite weights involving the p-Laplacian operator. We prove the existence of a first nontrivial eigenvalue for the first problem and the second one serves as an application in the description of the beginning of the Fučik spectrum with weights. We thereby extend several known results related to thes...