Cluster size distribution of infection in a system of mobile agents |
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| Institution: | 1. Institute for Computational Physics, University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany;2. Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Brazil;1. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile;2. Facultad de Ingeniería, Universidad de los Andes, Av. San Carlos de Apoquindo 2200, Santiago, Chile;3. Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón II-2do. Piso, 1428 Buenos Aires, Argentina;1. School of Public Health, Georgia State University, Atlanta, GA, USA;2. Division of International Epidemiology and Population Studies, Fogarty International Center, National Institutes of Health, Bethesda, MD, USA;3. Department of Anthropology, University of Missouri, Columbia, MO, USA;4. Department of Biology, Georgetown University, Washington DC, USA;1. Harvard T. H. Chan School of Public Health, Department of Epidemiology, Boston, MA 02115, USA;2. University of New Hampshire, Department of Molecular, Cellular and Biomedical Sciences, Durham, NH 03824, USA;3. Smithsonian Conservation Biology Institute, Center for Conservation Genomics, 3001 Connecticut Avenue NW, Washington, DC 20008, USA;1. Department of City and Regional Planning, University of California, Berkeley, CA 94720, United States;2. Department of Civil and Environmental Engineering, University of California, Berkeley, CA 94720, United States;3. Center for Computational Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, United States;4. Transport Global Practice, The World Bank, Washington, D.C 20433, United States;5. Energy Analysis & Environmental Impacts Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, United States;1. Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA;2. Department of Medicine, Section of Hematology/Oncology, The University of Chicago, 5841 S Maryland Avenue, MC 2115, Chicago, IL 60605, USA;3. Applied BioMath, LLC, Concord, MA 01742, USA;1. Facultad de Ingeniería,Universidad Veracruzana, Boca Del Río, Ver, Mexico;2. Mathematics Department, University of British Columbia, Vancouver, B.C, Canada;3. Maestría en Gestión Integrada de Cuencas, Universidad Autónoma de Querétaro, Mexico |
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| Abstract: | Clusters of infected individuals are defined on data from health laboratories, but this quantity has not been defined and characterized by epidemy models on statistical physics. For a system of mobile agents we simulate a model of infection without immunization and show that all the moments of the cluster size distribution at the critical rate of infection are characterized by only one exponent, which is the same exponent that determines the behavior of the total number of infected agents. No giant cluster survives independent of the magnitude of the rate of infection. |
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