scholarly journals Concatenated solutions of delay-differential equations and their representation with time-delay feedback systems

2011 ◽  
Vol 84 (6) ◽  
pp. 1126-1139 ◽  
Author(s):  
Tomomichi Hagiwara ◽  
Masahiro Kobayashi
Keyword(s):  
Time Delay ◽  
Differential Equations ◽  
Delay Differential Equations ◽  
Feedback Systems ◽  
Delay Differential

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.

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