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A two-group epidemic model with heterogeneity in cognitive effects.
Zehan Liu1, Daoxin Qiu1, Shengqiang Liu1
1School of Mathematical Sciences, Tiangong University, Tianjin 300387, China.
Mathematical Biosciences and Engineering : MBE
|April 29, 2025
Summary
This study models infectious disease spread considering media information and limited medical resources. Allocating media resources to less responsive groups is key for controlling epidemics in diverse populations.
Area of Science:
- Epidemiology
- Mathematical Biology
- Public Health Communication
Background:
- Infectious disease outbreaks are influenced by media information and medical resource availability.
- Population heterogeneity in information reception complicates disease control strategies.
Purpose of the Study:
- To investigate the combined impact of media information and limited medical resources on disease transmission dynamics.
- To develop and analyze a mathematical model for optimizing public health communication and resource allocation.
Main Methods:
- A two-group compartmental model was developed, dividing the population by information reception ability.
- Mathematical analysis included derivation of the basic reproduction number and stability analysis of equilibria.
- Optimal and constant control strategies were explored using numerical simulations and the forward-backward sweep method.
Main Results:
- Enhanced population responsiveness to media and medical resources reduces infection rates.
- Complex dynamics like bifurcations present control challenges.
- For constant control, media resources should favor information-insensitive groups as population disparity grows.
- Optimal control also suggests increased media resource allocation to information-insensitive groups with rising population heterogeneity.
Conclusions:
- Strategic allocation of limited media resources is crucial for effective disease control in heterogeneous populations.
- The study provides an empirical framework for optimizing media-driven public health interventions.
- Understanding population information reception dynamics is vital for mitigating infectious disease spread.
Keywords:
bifurcationcontrol strategiesheterogeneouslimited medical resourcesmedia informationtwo-group compartment modelMore Related Videos
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