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Turing Patterns of Non-linear S-I Model on Random and Real-Structure Networks with Diarrhea Data

Putra, Prama Setia and Susanto, Hadi and Nuraini, Nuning (2019) 'Turing Patterns of Non-linear S-I Model on Random and Real-Structure Networks with Diarrhea Data.' Scientific Reports, 9 (1). ISSN 2045-2322

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Abstract

Most developed models for solving problems in epidemiology use deterministic approach. To cover the lack of spatial sense in the method, one uses statistical modeling, reaction-diffusion in continuous medium, or multi-patch model to depict epidemic activities in several connected locations. Here, we show that an epidemic model that is set as an organized system on networks can yield Turing patterns and other interesting behaviors that are sensitive to the initial conditions. The formed patterns can be used to determine the epidemic arrival time, its first peak occurrence and the peak duration. These epidemic quantities are beneficial to identify contribution of a disease source node to the others. Using a real structure network, the system also exhibits a comparable disease spread pattern of Diarrhea in Jakarta.

Item Type: Article
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Elements
Date Deposited: 08 Aug 2019 10:35
Last Modified: 08 Aug 2019 10:35
URI: http://repository.essex.ac.uk/id/eprint/25123

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