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Article

An Epidemic Grid Model to Address the Spread of Covid-19: A Comparison between Italy, Germany and France

Department of Computer Science and Technology, University of Alicante, Carr. de San Vicente del Raspeig, s/n, 03690 San Vicente del Raspeig, Alicante, Spain
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Math. Comput. Appl. 2021, 26(1), 14; https://doi.org/10.3390/mca26010014
Received: 5 January 2021 / Revised: 2 February 2021 / Accepted: 2 February 2021 / Published: 8 February 2021
(This article belongs to the Special Issue Mathematical Modelling in Engineering & Human Behaviour 2019)
This paper presents a discrete compartmental Susceptible–Exposed–Infected–Recovered/Dead (SEIR/D) model to address the expansion of Covid-19. This model is based on a grid. As time passes, the status of the cells updates by means of binary rules following a neighborhood and a delay pattern. This model has already been analyzed in previous works and successfully compared with the corresponding continuous models solved by ordinary differential equations (ODE), with the intention of finding the homologous parameters between both approaches. Thus, it has been possible to prove that the combination neighborhood-update rule is responsible for the rate of expansion and recovering/death of the disease. The delays (between Susceptible and Asymptomatic, Asymptomatic and Infected, Infected and Recovered/Dead) may have a crucial impact on both height and timing of the peak of Infected and the Recovery/Death rate. This theoretical model has been successfully tested in the case of the dissemination of information through mobile social networks and in the case of plant pests. View Full-Text
Keywords: Covid-19; computational modelling; space time framework; multigrid implementation; update binary rules; Von Neumann and Moore neighborhoods Covid-19; computational modelling; space time framework; multigrid implementation; update binary rules; Von Neumann and Moore neighborhoods
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MDPI and ACS Style

Signes-Pont, M.T.; Cortés-Plana, J.J.; Mora-Mora, H. An Epidemic Grid Model to Address the Spread of Covid-19: A Comparison between Italy, Germany and France. Math. Comput. Appl. 2021, 26, 14. https://doi.org/10.3390/mca26010014

AMA Style

Signes-Pont MT, Cortés-Plana JJ, Mora-Mora H. An Epidemic Grid Model to Address the Spread of Covid-19: A Comparison between Italy, Germany and France. Mathematical and Computational Applications. 2021; 26(1):14. https://doi.org/10.3390/mca26010014

Chicago/Turabian Style

Signes-Pont, Maria T., José J. Cortés-Plana, and Higinio Mora-Mora. 2021. "An Epidemic Grid Model to Address the Spread of Covid-19: A Comparison between Italy, Germany and France" Mathematical and Computational Applications 26, no. 1: 14. https://doi.org/10.3390/mca26010014

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