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Novel epidemic models on PSO-based networks.

Dongmei Fan1, Guo-Ping Jiang2, Yu-Rong Song2

  • 1School of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, China; School of Science, Anhui Agricultural University, Hefei 230036, China.

Journal of Theoretical Biology
|June 14, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces two new spatio-temporal epidemic network models, r-SI and r-SIS, incorporating popularity and similarity for network connections. These models effectively simulate epidemic spread using diffusion equations and logistic maps, proving effective in network simulations.

Keywords:
Epidemic dynamicsHyperbolic spacePopularitySimilarity

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Area of Science:

  • Epidemiology
  • Network Science
  • Mathematical Modeling

Background:

  • Understanding epidemic dynamics in complex networks is crucial.
  • Existing models often overlook the influence of network structure on spread.
  • Spatio-temporal factors significantly impact disease transmission.

Purpose of the Study:

  • To propose novel spatio-temporal epidemic network models.
  • To incorporate popularity and similarity optimization (PSO) in network formation.
  • To analyze epidemic spread considering both spatial and temporal dimensions.

Main Methods:

  • Developed two models: r-SI and r-SIS, integrating popularity and similarity.
  • Modeled spatial spread using diffusion equations.
  • Modeled temporal spread using the logistic map.
  • Represented models using partial differential equations for analytical and simulation purposes.

Main Results:

  • Simulations on artificial and real networks demonstrated model effectiveness.
  • The proposed models successfully capture spatio-temporal epidemic dynamics.
  • Integration of PSO in network formation influences epidemic spread patterns.

Conclusions:

  • The r-SI and r-SIS models provide a robust framework for studying epidemics in evolving networks.
  • Popularity and similarity are key factors in spatio-temporal epidemic network modeling.
  • The models are computationally tractable and validated through simulations.