Impact of constrained rewiring on network structure and node dynamics
P Rattana1, L Berthouze2, I Z Kiss1
1Department of Mathematics, School of Mathematical and Physical Sciences, University of Sussex, Falmer, Brighton BN1 9QH, United Kingdom.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2014
Summary
This study examines how spatial networks adapt during epidemics. Larger rewiring distances reduce disease spread by altering network structure, leading to lower prevalence.
Area of Science:
- Epidemiology
- Network Science
- Computational Biology
Background:
- Susceptible-Infected-Susceptible (SIS) models are crucial for understanding disease dynamics.
- Spatial networks influence epidemic transmission and control strategies.
- Adaptive network structures can alter disease spread.
Purpose of the Study:
- To investigate the impact of adaptive spatial networks on epidemic dynamics.
- To analyze how link rewiring, constrained by spatial proximity, affects disease prevalence.
- To understand the interplay between network structure evolution and epidemic behavior.
Main Methods:
- Simulating an SIS epidemic on a spatial network with distance-constrained rewiring.
- Analyzing network structure changes in the absence of disease, with disease status, and with full dynamics.
- Developing analytic and semianalytic formulas for network clustering.
- Systematically varying the rewiring radius to observe its effects.
Main Results:
- Rewiring radius significantly impacts network clustering and epidemic endemic equilibrium.
- Larger rewiring radii lead to decreased disease prevalence.
- Initial network structure also plays a crucial role in epidemic outcomes.
Conclusions:
- Adaptive spatial networks offer a mechanism for disease mitigation.
- Controlling the rewiring radius is a potential strategy for managing epidemics.
- Network structure and epidemic dynamics are intrinsically linked in adaptive systems.
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