2019
DOI: 10.1038/s41598-019-39714-0
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Abstract: For centuries isolation has been the main control strategy of unforeseen epidemic outbreaks. When implemented in full and without delay, isolation is very effective. However, flawless implementation is seldom feasible in practice. We present an epidemic model called SIQ with an isolation protocol, focusing on the consequences of delays and incomplete identification of infected hosts. The continuum limit of this model is a system of Delay Differential Equations, the analysis of which reveals clearly the depende… Show more

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Cited by 51 publications
(98 citation statements)
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“…In the model there are five subpopulations (actually population fractions) that add up to unity. The general governing equations [9] are:…”
Section: Mathematical Modelmentioning
confidence: 99%
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“…In the model there are five subpopulations (actually population fractions) that add up to unity. The general governing equations [9] are:…”
Section: Mathematical Modelmentioning
confidence: 99%
“…The model, even after simplification, has multiple parameters and coupled states, and so analytical progress is difficult. However, several interesting limits, steady states, and stability criteria have been presented [9], along with supporting numerical results and policy implications.Here we take up a simplified version of that model [9]. Our simplification is only that we ignore the possibility of some past sufferers of the disease eventually losing their immunity, and becoming vulnerable to infection all over again.…”
mentioning
confidence: 99%
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“…Models used widely to study the infectious dynamics contain non-linear differential equations without delay, but these models can be made more appropriate and comprehensive to study the viral infection in a better and more concise way. Delay mathematical models have been studied extensively by many researchers [3][4][5][6][7]. Recently, the role of delay factor has been investigated for the biological systems as many biological systems observe the time delay property [8].…”
Section: Introductionmentioning
confidence: 99%
“…57 About 400 new infectious diseases were identified since 1940, and new pathogens emerge at faster rates. 10,[58][59][60] Every outbreak brings something new, provides opportunities to reap the benefits gained from past epidemics and pandemics, and provides novel lessons that will shape the framework to manage emerging infectious diseases. One aspect that all outbreaks share is their potential for rapid global dissemination through air travel.…”
mentioning
confidence: 99%