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Collection: Review Articles

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Existence, uniqueness and stability of solutions to a delay hematopoiesis model: Positive periodic solutions to a delay hematopoiesis model

This work aims to investigate a delay hematopoiesis model where the delay depends on both the time and the current density of mature blood cells. Based on the Banach contraction principle, the Schauder's fixed point theorem and some properties of a…

Exponential growth of solution for a couple of semi-linear pseudo-parabolic equations with memory and source terms

This work is concerned with coupled semi-linear pseudo-parabolic equations with memory terms in both equations, associated with the homogeneous Dirichlet boundary condition. We show that the solution grows exponentially under specific conditions…

The expressions and behavior of solutions for nonlinear systems of rational difference equations

In this paper, we investigate the form of the solutions of two systems of rational difference equations of second order, where the initial conditions are arbitrary nonzero real numbers.

Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit

This paper investigates the modified projective synchronization (MPS) between two hyperchaotic memristor-based Chua circuits modeled by two nonlinear integer-order and fractional-order systems. First, a hyperchaotic memristor-based Chua circuit is…

Probability tail for linearly negative quadrant dependent random variables of partial sums and application to linear model: Inequalities for LNQD R.V of partial sums and application

In this paper, we establish a new concentration inequality and complete convergence of weighted sums for arrays of rowwise linearly negative quadrant dependent (LNQD, in short) random variables and obtain a result dealing with complete convergence of…

On a viscoelastic plate equation with a polynomial source term and p(x,t)-Laplacian operator in the presence of delay term

In this paper, the blow-up of solutions for a Dirichlet-Neumann problem to initial nonlinear viscoelastic plate equation with a lower order perturbation of p(x,t)-Laplacian operator in the presence of time delay is obtained. Under suitable conditions…

Uniqueness and stability of parameter identification in elliptic boundary value problem

This paper concerns the uniqueness and stability of an inverse problemin PDE. Our problem consists of identifying two parameters b(x)b(x) and c(x)c(x) in the following boundary-value…

The adaptive gamma-BSPE kernel density estimation for nonnegative heavy-tailed data: Adaptive gamma-BSPE kernel density estimation for nonnegative heavy-tailed data

In this work, we consider the nonparametric estimation of the probability density function for nonnegative heavy-tailed (HT) data. The objective is first to propose a new estimator that will combine two regions of observations (high and low density).…

An approximate solution for the time-fractional diffusion equation

In this paper, a numerical method based on a finite difference scheme is proposed for solving the time-fractional diffusion equation (TFDE). The TFDE is obtained from the standard diffusion equation by replacing the first-order time derivative with…

Effect of dispersal in two-patch environment with Richards growth on population dynamics

In this paper, we consider a two-patch model coupled by migration terms, where each patch follows a Richards law. First, we prove the global stability of the model. Second, in the case when the migration rate tends to infinity, the total carrying…

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