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A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy
Populations and Evolution · Submitted 28 Oct 2020
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Based on the large number theorem for martingales, we discuss the extinction of the disease under an appropriate threshold parameter.
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The abstract, sentence by sentence
Coronavirus disease 2019 (COVID-19) poses a great threat to public health and the economy worldwide. Currently, COVID-19 evolves in many countries to a second stage, characterized by the need for the liberation of the economy and relaxation of the human psychological effects. To this end, numerous countries decided to implement adequate deconfinement strategies. After the first prolongation of the established confinement, Morocco moves to the deconfinement stage on May 20, 2020. The relevant question concerns the impact on the COVID-19 propagation by considering an additional degree of realism related to stochastic noises due to the effectiveness level of the adapted measures. In this paper, we propose a delayed stochastic mathematical model to predict the epidemiological trend of COVID-19 in Morocco after the deconfinement. To ensure the well-posedness of the model, we prove the existence and uniqueness of a positive solution. Based on the large number theorem for martingales, we discuss the extinction of the disease under an appropriate threshold parameter. Moreover, numerical simulations are performed in order to test the efficiency of the deconfinement strategies chosen by the Moroccan authorities to help the policy makers and public health administration to make suitable decisions in the near future.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Coronavirus disease 2019 (COVID-19) poses a great threat to public health and the economy worldwide. | background 1.00 | 0.03 | 0.02 | asserted 1.00 |
| s1 | Currently, COVID-19 evolves in many countries to a second stage, characterized by the need for the liberation of the economy and relaxation of the human psychological effects. | background 1.00 | 0.04 | 0.02 | asserted 1.00 |
| s2 | To this end, numerous countries decided to implement adequate deconfinement strategies. | background 1.00 | 0.04 | 0.02 | asserted 1.00 |
| s3 | After the first prolongation of the established confinement, Morocco moves to the deconfinement stage on May 20, 2020. | background 1.00 | 0.10 | 0.02 | asserted 1.00 |
| s4 | The relevant question concerns the impact on the COVID-19 propagation by considering an additional degree of realism related to stochastic noises due to the effectiveness level of the adapted measures. | gap 0.68 | 0.10 | 0.04 | unclear 0.87 |
| s5 | In this paper, we propose a delayed stochastic mathematical model to predict the epidemiological trend of COVID-19 in Morocco after the deconfinement. | contribution 0.88 | 0.94 | 0.08 | asserted 0.97 |
| s6 | To ensure the well-posedness of the model, we prove the existence and uniqueness of a positive solution. | method 0.49 | 0.96 | 0.04 | asserted 1.00 |
| s7 | Based on the large number theorem for martingales, we discuss the extinction of the disease under an appropriate threshold parameter. | result 0.46 | 0.93 | 0.17 | asserted 0.94 |
| s8 | Moreover, numerical simulations are performed in order to test the efficiency of the deconfinement strategies chosen by the Moroccan authorities to help the policy makers and public health administration to make suitable decisions in the near future. | method 0.40 | 0.94 | 0.16 | asserted 0.90 |
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Original abstract
Coronavirus disease 2019 (COVID-19) poses a great threat to public health and the economy worldwide. Currently, COVID-19 evolves in many countries to a second stage, characterized by the need for the liberation of the economy and relaxation of the human psychological effects. To this end, numerous countries decided to implement adequate deconfinement strategies. After the first prolongation of the established confinement, Morocco moves to the deconfinement stage on May 20, 2020. The relevant question concerns the impact on the COVID-19 propagation by considering an additional degree of realism related to stochastic noises due to the effectiveness level of the adapted measures. In this paper, we propose a delayed stochastic mathematical model to predict the epidemiological trend of COVID-19 in Morocco after the deconfinement. To ensure the well-posedness of the model, we prove the existence and uniqueness of a positive solution. Based on the large number theorem for martingales, we discuss the extinction of the disease under an appropriate threshold parameter. Moreover, numerical simulations are performed in order to test the efficiency of the deconfinement strategies chosen by the Moroccan authorities to help the policy makers and public health administration to make suitable decisions in the near future.
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References
How the literature uses it
9 arXiv papers cite this in 11 sentences
Papers citing it · 6 sentences without a confident label
Cites it as background 5 papers
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Several models were presented to predict the spread of COVID-19 [ref] .
Transport and Optimal Control of Vaccination Dynamics for COVID-19 · Introduction · 0.95
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The introduction of time delays to mathematical epidemic models has been studied in order to better understand and describe the transmission dynamics of infectious diseases; see, e.g., [ref] .
Stability Analysis of Delayed COVID-19 Models · Introduction · 0.85
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Recently, many mathematical models were proposed to understand disease transmission and project handful controls: see, e.g., [ref] and references therein.
Control of COVID-19 dynamics through a fractional-order model · Introduction · 0.87
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