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Epidemic spreading in heterogeneous networks with recurrent mobility patterns.
Liang Feng1, Qianchuan Zhao1, Cangqi Zhou2
1Center for Intelligent and Networked Systems (CFINS), Department of Automation and BNRist, Tsinghua University, Beijing 100084, China.
Physical Review. E
|September 18, 2020
Summary
This study models epidemic spreading in networks using a Markov chain. It reveals how mobility and network structure impact disease transmission, offering insights for public health policy.
Area of Science:
- Epidemiology
- Network Science
- Mathematical Modeling
Background:
- Network structure and human mobility significantly influence epidemic spreading.
- Understanding these dynamics is crucial for effective disease control.
Purpose of the Study:
- To propose a discrete-time Markov chain model for susceptible-infected-susceptible (SIS) epidemic dynamics in heterogeneous networks.
- To analyze the impact of mobility and isolation on the epidemic threshold.
- To investigate how network characteristics affect epidemic spreading.
Main Methods:
- Developed a discrete-time Markov chain model incorporating two location types: residences and common places.
- Implemented different infection mechanisms for each location type.
- Conducted theoretical analysis and numerical simulations to validate the model.
Main Results:
- Theoretical results demonstrate the influence of mobility probability and isolation on the epidemic threshold.
- Numerical simulations confirm the analytical findings.
- Observed that the dominance of different residence types can reverse with varying mobility probabilities in certain networks.
Conclusions:
- The proposed model provides a framework for understanding epidemic dynamics in complex networks.
- Findings highlight the critical role of human mobility and network heterogeneity in disease transmission.
- Results offer valuable insights for public health interventions and policy-making to prevent epidemics.
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