In this article, we extend the Laplace transform method to obtain analytic solutions for linear
RDDEs and NDDEs which have real and complex poles of higher order. Furthermore, we …

We propose a new mathematical model to investigate the effect of the introduction of an
exposed stage for the cats who become infected with the T. gondii parasite, but that are not …

In this paper, we focus on investigating the performance of the mathematical software
program Maple and the programming language MATLAB when using these respective …

In this paper we develop an approach for obtaining the solutions to systems of linear
retarded and neutral delay differential equations. Our analytical approach is based on the …

In this paper, we construct a more realistic mathematical model to study toxoplasmosis
dynamics. The model considers two discrete time delays. The first delay is related to the …

In this paper, we propose a methodology for computing the analytic solutions of linear
retarded delay-differential equations and neutral delay-differential equations that include …

Delay differential equations belong to an important class of differential equations in which
the evolution of the state depends on the previous time. This work proposes a novel …

In this article, a new modified Laplace-Fourier method is developed in order to obtain the
solutions of linear neutral delay differential equations. The proposed method provides a …

This article presents a approximation method for linear neutral delay differential equations
using Hermite polynomials. The method ensures the unknown function to be found by …

The objective is to demonstrate how to create straightforward Maple programs for numerical
computations and programs for condensing or changing mathematical formulas …