AI summary · arXiv: 2004.01974v4 · q-bio.PE

COVID-19: Development of a Robust Mathematical Model and Simulation Package with Consideration for Ageing Population and Time Delay for Control Action and Resusceptibility

Kok Yew Ng, Meei Mei Gui

Original paper · DOI Submitted to arXiv on 04 Apr. 2020 Physica D: Nonlinear Phenomena (2020) 14 pages, 9 figures, To appear in Physica D: Nonlinear Phenomena (2020) License: NONEXCLUSIVE-DISTRIB 1.0

The essentials

  • The COVID-19 pandemic is a global health emergency and one of the greatest challenges of this generation.
  • Computational simulations are crucial in predicting the development of the pandemic and estimating the effectiveness of control measures.
  • The SEIR model has been widely used in previous epidemics, but this paper introduces a modified SEIRS model that incorporates additional exit conditions.
  • The modified model considers death rates, resusceptibility, an aging population, time delays from control actions, and temporal immune response.
  • The proposed model aims to better reflect the current scenario and reported case data for COVID-19 patients.
  • Two case studies using real-world data from South Korea and Northern Ireland demonstrated the effectiveness of the model in verification and prediction studies.
  • This research presents a robust mathematical model and simulation package that provides valuable insights into disease spread patterns and control strategies for managing COVID-19.

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AI-generated keywords: COVID-19 SEIRS model simulations control strategies resusceptibility

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  • Original abstract
The current global health emergency triggered by the COVID-19 pandemic has posed one of the greatest challenges to mankind in this generation. In order to predict the development of this pandemic, computational simulations have played a crucial role. These simulations provide early indications of future projections and help estimate the effectiveness of control measures against the SARS-CoV-2 virus. The SEIR model, a well-known method used in computational simulations of infectious viral diseases, has been widely employed to model previous epidemics such as Ebola, SARS, MERS, and influenza A. However, this paper introduces a modified SEIRS model that incorporates additional exit conditions in the form of death rates and resusceptibility. By tuning these exit conditions, the model can extend predictions on three possible outcomes: death, recovery and recovery with a possibility of resusceptibility. This modified model also takes into account specific factors such as an aging population and time delays resulting from control actions. It considers resusceptibility with temporal immune response as well. The proposed model aims to better reflect the current scenario and reported case data due to significant variations in clinical symptoms exhibited by COVID-19 patients. This improved understanding of disease spread and control action efficiency is crucial for effective management. To verify the accuracy of this model, two case studies were conducted using real-world data from South Korea and Northern Ireland respectively. The results demonstrated its effectiveness in both verification and prediction studies. Overall, this research presents a robust mathematical model and simulation package that addresses various aspects related to COVID-19 dynamics. By considering factors like an aging population, time delays for control actions, and resusceptibility with temporal immune response, it provides valuable insights into disease spread patterns and control strategies. This refined approach contributes significantly towards understanding and managing the ongoing global health crisis caused by COVID-19.

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