scholarly journals Kinetics of intravenous radiographic contrast medium injections as used on CT: simulation with time delay differential equations in a basic human cardiovascular multicompartment model

2012 ◽  
Vol 85 (1020) ◽  
pp. e1212-e1218 ◽  
Author(s):  
D Violon
Keyword(s):  
Time Delay ◽  
Differential Equations ◽  
Contrast Medium ◽  
Delay Differential Equations ◽  
Multicompartment Model ◽  
Radiographic Contrast Medium ◽  
Radiographic Contrast ◽  
Ct Simulation ◽  
Delay Differential ◽  
Kinetics Of

scholarly journals Time delay identification in chaotic cryptosystems ruled by delay-differential equations

2005 ◽  
Vol 72 (5) ◽  
pp. 373 ◽  
Author(s):  
V. S. Udaltsov ◽  
L. Larger ◽  
J. P. Goedgebuer ◽  
A. Locquet ◽  
D. S. Citrin
Keyword(s):  
Time Delay ◽  
Differential Equations ◽  
Delay Differential Equations ◽  
Delay Differential

scholarly journals Tumour Oscillation Analysis in Angiogenesis Models

2006 ◽  
Vol 1 ◽  
pp. 330
Author(s):  
P. Daugulis
Keyword(s):  
Time Delay ◽  
Differential Equations ◽  
Delay Differential Equations ◽  
Time Delays ◽  
Oscillation Analysis ◽  
Point Analysis ◽  
Delay Differential

In this paper we describe Hopf point analysis for several systems of ordinary and time delay differential equations which encode the most important assumptions concerning anguigenesis processes induced by tumours It is shown that in most cases Hopf points exist only if time delays are nonzero and for most nonzero time delays there are Hopf points in these families of models.

scholarly journals Elementary time-delay dynamics of COVID-19 disease

2020 ◽  
Author(s):  
José Menéndez
Keyword(s):  
Time Delay ◽  
Differential Equations ◽  
South Korea ◽  
Ordinary Differential Equations ◽  
Delay Differential Equations ◽  
Survival Function ◽  
Elementary Model ◽  
Infected People ◽  
Delay Differential ◽  
Good Agreement

An elementary model of COVID-19 dynamics—based on time-delay differential equations with a step-like survival function—is shown to be in good agreement with data from China and South Korea. The time-delal approach overcomes the major limitation of standard Susceptible-Exposed-Infected-Recovered (SEIR) models based on ordinary differential equations, namely their inability to predict the observed curve of infected individuals as a function of time. The model is also applied to countries where the epidemic is in earlier stages, such as Italy and Spain, to obtain estimates of the total number of cases and peak number of infected people that might be observed.

scholarly journals Numerical Study for Time Delay Multistrain Tuberculosis Model of Fractional Order

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-14 ◽  
Author(s):  
Nasser Hassan Sweilam ◽  
Seham Mahyoub Al-Mekhlafi ◽  
Taghreed Abdul Rahman Assiri
Keyword(s):  
Time Delay ◽  
Differential Equations ◽  
Fractional Order ◽  
Delay Differential Equations ◽  
Numerical Study ◽  
Equilibrium Points ◽  
Fractional Delay ◽  
The Stability ◽  
Delay Differential ◽  
Fractional Delay Differential Equations

A novel mathematical fractional model of multistrain tuberculosis with time delay memory is presented. The proposed model is governed by a system of fractional delay differential equations, where the fractional derivative is defined in the sense of the Grünwald–Letinkov definition. Modified parameters are introduced to account for the fractional order. The stability of the equilibrium points is investigated for any time delay. Nonstandard finite deference method is proposed to solve the resulting system of fractional-order delay differential equations. Numerical simulations show that nonstandard finite difference method can be applied to solve such fractional delay differential equations simply and effectively.

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