Superdiffusion and epidemiological spreading

Urszula Skwara; Luís Mateus; Raquel Filipe; Filipe Rocha; Maíra Aguiar; Nico Stollenwerk

doi:10.1016/j.ecocom.2018.07.006

Superdiffusion and epidemiological spreading

Urszula Skwara, Luís Mateus, Raquel Filipe, Filipe Rocha, Maíra Aguiar, Nico Stollenwerk

CMA - Centro de Matemática e Aplicações

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We describe spreading of diseases in geographical space via superdiffusion. Nowadays people travel a lot over wide distances and therefore the spread of the infection happens not only locally i.e. from one person to the neighbor, but also for large distances. Superdiffusion has been suggested to model this type of epidemiological spreading in space. We consider the analytically tractable case of a diffusion like process on the lattice which is used as a surrogate process of human contacts in epidemiology. A stochastic process for a population is then used where the notion of distance is given by power law decaying connectivities, in good agreement with the analytics. We apply the results to the SIS model on the lattice.

Original language	English
Pages (from-to)	168-183
Number of pages	16
Journal	Ecological Complexity
Volume	36
DOIs	https://doi.org/10.1016/j.ecocom.2018.07.006
Publication status	Published - 1 Dec 2018

Keywords

Epidemic models
Fourier representation
Fractional calculus
Stochastic processes
Superdiffusion

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.ecocom.2018.07.006Licence: CC BY-NC-ND

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title = "Superdiffusion and epidemiological spreading",

abstract = "We describe spreading of diseases in geographical space via superdiffusion. Nowadays people travel a lot over wide distances and therefore the spread of the infection happens not only locally i.e. from one person to the neighbor, but also for large distances. Superdiffusion has been suggested to model this type of epidemiological spreading in space. We consider the analytically tractable case of a diffusion like process on the lattice which is used as a surrogate process of human contacts in epidemiology. A stochastic process for a population is then used where the notion of distance is given by power law decaying connectivities, in good agreement with the analytics. We apply the results to the SIS model on the lattice.",

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AU - Skwara, Urszula

AU - Mateus, Luís

AU - Filipe, Raquel

AU - Rocha, Filipe

AU - Aguiar, Maíra

AU - Stollenwerk, Nico

N1 - info:eu-repo/grantAgreement/FCT/3599-PPCDT/115168/PT# This work has been supported to a large extend by the European Union under FP7 in the projects EPIWORK and DENFREE and by Fundacao para a Cieticia e a Tecnologia, Portugal, in various ways, especially via the project PTDC/MAT/115168/2009. Recently, some travel support has been granted via the COST Action: CA16227.

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N2 - We describe spreading of diseases in geographical space via superdiffusion. Nowadays people travel a lot over wide distances and therefore the spread of the infection happens not only locally i.e. from one person to the neighbor, but also for large distances. Superdiffusion has been suggested to model this type of epidemiological spreading in space. We consider the analytically tractable case of a diffusion like process on the lattice which is used as a surrogate process of human contacts in epidemiology. A stochastic process for a population is then used where the notion of distance is given by power law decaying connectivities, in good agreement with the analytics. We apply the results to the SIS model on the lattice.

AB - We describe spreading of diseases in geographical space via superdiffusion. Nowadays people travel a lot over wide distances and therefore the spread of the infection happens not only locally i.e. from one person to the neighbor, but also for large distances. Superdiffusion has been suggested to model this type of epidemiological spreading in space. We consider the analytically tractable case of a diffusion like process on the lattice which is used as a surrogate process of human contacts in epidemiology. A stochastic process for a population is then used where the notion of distance is given by power law decaying connectivities, in good agreement with the analytics. We apply the results to the SIS model on the lattice.

KW - Epidemic models

KW - Fourier representation

KW - Fractional calculus

KW - Stochastic processes

KW - Superdiffusion

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VL - 36

SP - 168

EP - 183

JO - Ecological Complexity

JF - Ecological Complexity

ER -

Superdiffusion and epidemiological spreading

Abstract

Keywords

UN SDGs

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