The human body persists in its rhythm as per its initial time zone, and transition always occur
according to solar movements around the earth over 24 h. While traveling across different …

Publisher Summary This chapter illustrates the recent work on equations with state
dependent delays, with emphasis on particular models and on the emerging theory from the …

This book is a text for a one-semester course for upper-level undergraduates and beginning
graduate students in engineering, science, and mathematics. Prerequisites are a first course …

The main purpose of the book is to introduce the readers to the numerical integration of the
Cauchy problem for delay differential equations (DDEs). Peculiarities and differences that …

We have written a program, dde23, to solve delay differential equations (DDEs) with
constant delays in Matlab. In this paper we discuss some of its features, including …

Delay differential equations (DDEs) occur in many different fields including circuit theory.
Circuits which include delayed elements have become more important due to the increase …

In this study, the Laguerre wavelet-oriented numerical scheme for nonlinear first and second-
order delay differential equations (DDEs) is offered. The proposed technique is dependent …

We describe Dizzy, a software tool for stochastically and deterministically modeling the
spatially homogeneous kinetics of integrated large-scale genetic, metabolic, and signaling …

In this paper the optimal control strategies of an SIR (susceptible–infected–recovered)
epidemic model with time delay are introduced. In order to do this, we consider an optimally …

This paper is a review of applications of delay differential equations to different areas of
engineering science. Starting with a general overview of delay models, we present some …