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Injurious information propagation and its global stability considering activity and normalized recovering rate.
Chaoqian Wang1,2,3, Ziwei Wang1,2, Qiuhui Pan2,4
1School of Physics, Dalian University of Technology, Dalian, China.
This study models injurious information spread, finding resource allocation for those exposed is only needed when proportions reach critical points. Inactive individuals require resources, while active ones may be ignored to curb spread.
Area of Science:
- Mathematical modeling
- Epidemiology
- Information science
Background:
- Injurious information spreads within populations, impacting individuals who adopt it.
- Understanding the dynamics of information propagation is crucial for mitigation strategies.
- Existing models may not fully capture the nuances of resource allocation for different population segments.
Purpose of the Study:
- To develop a compartment model for injurious information propagation.
- To analyze the conditions under which recovery resource allocation is necessary.
- To investigate the impact of recovery rates and leaving rates on information spread.
Main Methods:
- Development of a nonlinear compartment model for population dynamics.
- Analysis of system stability and critical thresholds.
- Calculation and interpretation of the reproduction number for injurious information.
Main Results:
- Resource allocation is not always necessary; it depends on the proportion of informed individuals.
- Inactive informed individuals require resource allocation in realistic scenarios.
- Increased recovery rates necessitate broader resource allocation.
- Higher rates of active informed individuals leaving the system can aid information removal.
Conclusions:
- The model offers qualitative insights into managing injurious information spread.
- Resource allocation strategies should be tailored based on population proportions and individual behavior (active vs. inactive).
- Dynamic factors like recovery and exit rates significantly influence optimal intervention strategies.
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