In this paper, we consider a two-dimensional delay differential system with two delays. By analyzing the distribution of eigenvalues, linear stability of the equilibria and existence of Hopf, Bautin, and Hopf–Hopf bifurcations are obtained in which the time delays are used as the bifurcation parameter. General formula for the direction, period, and stability of the bifurcated periodic solutions...

This paper explores the effect of various graphical constructions upon the associated graph C∗-algebras. The graphical constructions in question arise naturally in the study of flow equivalence for topological Markov chains. We prove that outsplittings give rise to isomorphic graph algebras, and in-splittings give rise to strongly Morita equivalent C∗-algebras. We generalise the notion of a del...

Abstract Background The number of patients waiting for an operation in the United Kingdom has never been higher, as February 2022 over six million people were treatment. There is pressure nationally on trusts to implement strategies aimed at reducing backlog elective procedures. Long lists can lead a greater demand acute surgical services require treatment their condition while they wait proced...

Objectives The aims of the study were to investigate discrepancies between general practitioners' paper medication orders and pharmacy-prepared electronic medication administration charts, back-up paper charts and dose-administration aids, as well as delays between prescribing, charting and administration, at a 90-bed residential aged care facility that used a hybrid paper-electronic medication...

BACKGROUND Delay in cancer diagnosis may be important for cancer prognosis. Large individual variations in the duration of delay have been observed. This study examines whether patients' socioeconomic characteristics are predictors of long patient-, doctor- and system-related delay in cancer diagnosis. METHODS Danish population-based cohort study. From September 2004 to September 2005, newly ...

The study gives a brief overview of publications on exact solutions for functional PDEs with delays various types and methods constructing such solutions. For the first time, second-order wave-type nonlinear source term containing unknown function proportional time delay, space or both are considered. In addition to constant speed, equations variable speed also studied. New one-dimensional redu...

Submitted for the MAR15 Meeting of The American Physical Society Signaling Delays Preclude Defects in Lateral Inhibition Patterning INGMAR RIEDEL-KRUSE, DAVID GLASS, XIAOFAN JIN, Stanford University, Bioengineering — Developmental biology is extraordinarily robust in its ability to self-organize spatiotemporal patterns despite an intrinsically noisy set of parts. Lateral inhibition is a classic...

Disk I/O is generally considered the bottleneck in memory operations. This is generally due to mechanical limitations (limited disk rotation caps transfer bandwidth), and the general architecture of modern disks (rotating platters accessed by a single head on the arm), which causes a delay on the positioning of the head. Operating systems are generally able to fight the seek delays by writing t...

We consider classes of functional differential equation models which arise in attempts to describe temporal delays in HIV pathogenesis. In particular, we develop methods for incorporating arbitrary variability (i.e., general probability distributions) for these delays into systems that cannot readily be reduced to a finite number of coupled ordinary differential equations (as is done in the met...

AbstrAct This chapter deals with the analysis problem of the global exponential stability for a general class of stochastic artificial higher order neural networks with multiple mixed time delays and Markovian jumping parameters. The mixed time delays under consideration comprise both the discrete time-varying delays and the distributed time-delays. The main purpose of this chapter is to establ...