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An analytic method for agent-based modeling of spatially inhomogeneous disease dynamics
Technische Universität Kaiserslautern, Germany.ORCID iD: 0000-0002-8400-0416
Technische Universität Kaiserslautern, Germany.
Technische Universität Kaiserslautern, Germany.
Technische Universiteit Eindhoven, Netherlands.
2017 (English)In: Struccture, Function and Dynamics from nm to Gm: Proceedings of the 8th Jagna International Workshop, 4–7 January 2017, Bohol, Philippines / [ed] Bornales J.B., Villagonzalo C.D., Esguerra J.P.H., Soriano M.N., Bernido C.C., Carpio-Bernido M.V., American Institute of Physics (AIP), 2017, Vol. 1871, article id 020008Conference paper, Published paper (Refereed)
Abstract [en]

In this article we set up a microscopic model for the spread of an infectious disease based on configuration space analysis. Using the so-called Vlasov scaling we obtained the corresponding mesoscopic (kinetic) equations, describing the density of susceptible and infected individuals (particles) in space. The resulting system of equations can be seen as a generalization to a ‘spatial’ SIS-model. The equations showing up in the limiting system are of the type which is know in literature as Fisher–Kolmogorov–Petrovsky–Piscounov type.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2017. Vol. 1871, article id 020008
Series
AIP Conference Proceedings, ISSN 0094-243X, E-ISSN 1551-7616 ; 1871:1
National Category
Probability Theory and Statistics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-124564DOI: 10.1063/1.4996518Scopus ID: 2-s2.0-85028886590ISBN: 9780735415515 (electronic)OAI: oai:DiVA.org:lnu-124564DiVA, id: diva2:1796989
Conference
8th Jagna International Workshop: Structure, Function, and Dynamics from nm to Gm, 4–7 January 2017, Bohol, Philippines
Available from: 2023-09-13 Created: 2023-09-13 Last updated: 2023-09-14Bibliographically approved

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Bock, Wolfgang

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CiteExportLink to record
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