Analysis of metapopulation Epidemic process on arbitrary networks

Taro Takaguchi; Renaud Lambiotte

doi:10.1016/j.ifacol.2015.11.026

Analysis of metapopulation Epidemic process on arbitrary networks

Taro Takaguchi, Renaud Lambiotte

Namur Institute for Complex Systems

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Conference contribution

Abstract

Epidemic process on networks is considered. The system is discribed as a metapopulation network in which a node represents subpopulation (e.g., city or school) and is connected to other nodes via undirected links. Particles represent the subject of infection (e.g., individuals) and interact with each other within nodes while migrating from nodes to nodes in the manner of random diffusion. The nonlinear dependence of contact rate within a node on its population size is introduced, according to the recent finding based on emprical phone-call data. The impacts of the nonlinear dependence are investigated for three aspects of epidemic process: epidemic threshold, infection size at stationary state, and transient dynamics.

Original language	English
Title of host publication	IFAC Proceedings Volumes (IFAC-PapersOnline)
Publisher	IFAC Secretariat
Pages	141-145
Number of pages	5
Volume	48
Edition	18
DOIs	https://doi.org/10.1016/j.ifacol.2015.11.026
Publication status	Published - 1 Nov 2015
Event	4th IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2015 - Tokyo, Japan Duration: 26 Aug 2015 → 28 Aug 2015

Conference

Conference	4th IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2015
Country/Territory	Japan
City	Tokyo
Period	26/08/15 → 28/08/15

Keywords

Complex systems
Differential equations
Eigenmode analysis
Monte carlo simulation
Networks

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10.1016/j.ifacol.2015.11.026

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title = "Analysis of metapopulation Epidemic process on arbitrary networks",

abstract = "Epidemic process on networks is considered. The system is discribed as a metapopulation network in which a node represents subpopulation (e.g., city or school) and is connected to other nodes via undirected links. Particles represent the subject of infection (e.g., individuals) and interact with each other within nodes while migrating from nodes to nodes in the manner of random diffusion. The nonlinear dependence of contact rate within a node on its population size is introduced, according to the recent finding based on emprical phone-call data. The impacts of the nonlinear dependence are investigated for three aspects of epidemic process: epidemic threshold, infection size at stationary state, and transient dynamics.",

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AU - Takaguchi, Taro

AU - Lambiotte, Renaud

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AB - Epidemic process on networks is considered. The system is discribed as a metapopulation network in which a node represents subpopulation (e.g., city or school) and is connected to other nodes via undirected links. Particles represent the subject of infection (e.g., individuals) and interact with each other within nodes while migrating from nodes to nodes in the manner of random diffusion. The nonlinear dependence of contact rate within a node on its population size is introduced, according to the recent finding based on emprical phone-call data. The impacts of the nonlinear dependence are investigated for three aspects of epidemic process: epidemic threshold, infection size at stationary state, and transient dynamics.

KW - Complex systems

KW - Differential equations

KW - Eigenmode analysis

KW - Monte carlo simulation

KW - Networks

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DO - 10.1016/j.ifacol.2015.11.026

M3 - Conference contribution

VL - 48

SP - 141

EP - 145

BT - IFAC Proceedings Volumes (IFAC-PapersOnline)

PB - IFAC Secretariat

T2 - 4th IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2015

Y2 - 26 August 2015 through 28 August 2015

ER -

Analysis of metapopulation Epidemic process on arbitrary networks

Abstract

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Keywords

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