Dynamics of a susceptible-infected-recovered model on complex networks with interregional migration Article Swipe
Ruiwu Niu
,
Yin-Chi Chan
,
Eric W. M. Wong
,
Michaël Antonie van Wyk
,
Simin Liu
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/physreve.110.024304
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/physreve.110.024304
We present a susceptible-infected-recovered model based on a dynamic flow network that describes the epidemic process on complex metapopulation networks. This model views population regions as interconnected nodes and describes the evolution of each region using a system of differential equations. The next-generation matrix method is used to derive the global basic reproduction number for three cases: a general network with homogeneous infection rates in all regions, a fully connected network, and a star network with heterogeneous infection and recovery rates. For the homogeneous case, we show that this global basic reproduction number is independent of the migration rates between regions. However, the rate of convergence of each region to an equilibrium state exhibits a much larger variance in random (Erdős-Rényi) networks compared to small-scale (Barabási-Albert) networks. For the general heterogeneous case, we report interesting results, namely that the global basic reproduction number decays exponentially with respect to the smallest nonzero Laplacian eigenvalue (algebraic connectivity). Furthermore, we demonstrate both analytically and numerically that as the network's algebraic connectivity increases, either by increasing the average node degree of each region or the global migration rate, the global basic reproduction number decreases and converges to the ratio of the average local infection rate to the average local recovery rate, meaning that the lower bound of the global basic reproduction rate does not equal the mean of local basic reproduction rates.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physreve.110.024304
- OA Status
- bronze
- Cited By
- 1
- References
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- Related Works
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- OpenAlex ID
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https://openalex.org/W4401359978Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physreve.110.024304Digital Object Identifier
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Dynamics of a susceptible-infected-recovered model on complex networks with interregional migrationWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-08-06Full publication date if available
- Authors
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Ruiwu Niu, Yin-Chi Chan, Eric W. M. Wong, Michaël Antonie van Wyk, Simin LiuList of authors in order
- Landing page
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https://doi.org/10.1103/physreve.110.024304Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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bronzeOpen access status per OpenAlex
- OA URL
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https://scholars.cityu.edu.hk/en/publications/dynamics-of-a-susceptible-infected-recovered-model-on-complex-netDirect OA link when available
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Dynamics (music), Complex network, Economic geography, Virology, Biology, Computer science, Geography, Psychology, World Wide Web, PedagogyTop concepts (fields/topics) attached by OpenAlex
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1Total citation count in OpenAlex
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2024: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W4280571752, https://openalex.org/W2148301044, https://openalex.org/W2017558991, https://openalex.org/W2055356295, https://openalex.org/W3094582018, https://openalex.org/W3166398881, https://openalex.org/W4284893126, https://openalex.org/W4312512934, https://openalex.org/W2112090702, https://openalex.org/W2008620264, https://openalex.org/W2030539428, https://openalex.org/W2038195874, https://openalex.org/W1984688056, https://openalex.org/W2593940606, https://openalex.org/W2113867961, https://openalex.org/W2001454048, https://openalex.org/W2146530408, https://openalex.org/W2026195602, https://openalex.org/W2069977841, https://openalex.org/W2016674662, https://openalex.org/W2064577438, https://openalex.org/W2034678786, https://openalex.org/W1623819843, https://openalex.org/W1985952539, https://openalex.org/W2335668704, https://openalex.org/W1966335199, https://openalex.org/W4225272135, https://openalex.org/W3100639125, https://openalex.org/W2146948188, https://openalex.org/W2205703172, https://openalex.org/W3010131837, https://openalex.org/W3117830403, https://openalex.org/W3099011804, https://openalex.org/W3183741867, https://openalex.org/W1968750653, https://openalex.org/W2263607183, https://openalex.org/W4205817641, https://openalex.org/W3172408252, https://openalex.org/W1587744656, https://openalex.org/W2140015226, https://openalex.org/W2050766178, https://openalex.org/W2963209811, https://openalex.org/W2083787309, https://openalex.org/W2112680994, https://openalex.org/W2002727114, https://openalex.org/W2096287634, https://openalex.org/W4321478290, https://openalex.org/W4214668313, https://openalex.org/W1812342127, https://openalex.org/W4252045046 |
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