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Nonlinear effects of resource allocation delay on epidemic spreading in complex networks
Xiaolong Chen1,2, Xiaolong Yang3, Ruijie Wang4
1School of Computing and Artificial Intelligence, Southwestern University of Finance and Economics, Chengdu 611130, China.
Chaos (Woodbury, N.Y.)
|January 6, 2025
Summary
Resource allocation delay impacts epidemic spreading nonlinearly. Optimal delays can improve control, but excessive delays increase infection risk, highlighting the need for strategic resource management.
Area of Science:
- Epidemiology
- Mathematical Modeling
- Public Health
Background:
- Resource allocation is crucial for epidemic control.
- Individual self-protection leads to delays in resource allocation.
- The impact of these delays on epidemic dynamics is under-researched.
Purpose of the Study:
- To develop a coupled model for resource allocation and epidemic spreading.
- To analyze the influence of resource allocation delay on epidemic dynamics.
- To investigate the relationship between delay time, cautious individuals, and epidemic threshold.
Main Methods:
- Theoretical analysis of a coupled resource allocation and epidemic spreading model.
- Numerical simulations to study dynamic characteristics.
- Stability analysis of solutions under various conditions.
Main Results:
- Resource allocation delay exhibits nonlinear effects on epidemic spreading.
- An optimal delay time was identified that maximizes the epidemic threshold.
- Increased cautious individuals raise the epidemic threshold but can hinder resource allocation.
Conclusions:
- Resource allocation delay significantly influences epidemic control effectiveness.
- Appropriate delays can enhance epidemic control, while excessive delays increase infection risk.
- Findings support optimizing resource allocation strategies for better epidemic management.
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