2014
DOI: 10.48550/arxiv.1410.3817
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A Model of the 2014 Ebola Epidemic in West Africa with Contact Tracing

Abstract: A differential equations model is developed for the 2014 Ebola epidemics in Sierra Leone, Liberia, and Guinea. The model describes the dynamic interactions of the susceptible and infected populations of these countries. The model incorporates the principle features of contact tracing, namely, the number of contacts per identified infectious case, the likelihood that a traced contact is either incubating or infectious, and the efficiency of the contact tracing process.The model is first fitted to current cumula… Show more

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Cited by 4 publications
(4 citation statements)
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“…The parameter 𝛽 is the transmission rate of disease from susceptible to exposed. Similarly, 1/𝜎 and 1/𝛾 are the average durations of incubation and infectiousness respectively" [30,31,32,33 From III and IV we can see that I and R depends on E, so we can focus on E to have two cases, if E is zero I and R will be zero and if E, I, R, are zero that means no infection.…”
Section: 𝑁 = 𝑆 + 𝐸 + 𝐼 + 𝑅mentioning
confidence: 99%
“…The parameter 𝛽 is the transmission rate of disease from susceptible to exposed. Similarly, 1/𝜎 and 1/𝛾 are the average durations of incubation and infectiousness respectively" [30,31,32,33 From III and IV we can see that I and R depends on E, so we can focus on E to have two cases, if E is zero I and R will be zero and if E, I, R, are zero that means no infection.…”
Section: 𝑁 = 𝑆 + 𝐸 + 𝐼 + 𝑅mentioning
confidence: 99%
“…There have been a wide range of simulation models developed for EVD in recent months to assist in decision-making and public health response efforts [6,10,[13][14][15][16][17][18][19][20][21][22], many of which are based on early models by Chowell, Legrand, and others [23][24][25]. Several models have been used for forecasting and for understanding disease dynamics [6,10,13,15], disease progression and immunity [10,22], and evaluating alternative interventions [16,26].…”
Section: Earlymentioning
confidence: 99%
“…To address these challenges, several new models have been suggested each providing quite different results, for example [1], [2], [3], [4], [13], [14], [15]. We also note that different aspects of possible control have been intensively studied in the literature including distribution strategies for vaccination and antibiotic programs [12] as well as travel restrictions [8].…”
Section: Introductionmentioning
confidence: 99%