Coupled dynamics of endemic disease transmission and gradual awareness diffusion in multiplex networks
Qingchu Wu, Tarik Hadzibeganovic, Xiao-Pu Han

TL;DR
This paper develops a mathematical model to analyze how awareness diffusion and disease transmission interact in multiplex networks, revealing that effective awareness and behavioral responses are crucial for epidemic prevention.
Contribution
The study introduces an exact analytical model combining awareness and disease dynamics on multiplex networks, outperforming previous probability-tree methods.
Findings
Awareness triggers must be strong to prevent outbreaks.
High awareness immunity raises epidemic thresholds.
Behavioral interplay significantly impacts contagion dynamics.
Abstract
Understanding the interplay between human behavioral phenomena and infectious disease dynamics has been one of the central challenges of mathematical epidemiology. However, socio-cognitive processes critical for the initiation of desired behavioral responses during an outbreak have often been neglected or oversimplified in earlier models. Combining the microscopic Markov chain approach with the law of total probability, we herein institute a mathematical model describing the dynamic interplay between stage-based progression of awareness diffusion and endemic disease transmission in multiplex networks. We analytically derived the epidemic thresholds for both discrete-time and continuous-time versions of our model, and we numerically demonstrated the accuracy of our analytic arguments in capturing the time course and the steady-state of the coupled disease-awareness dynamics. We found…
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Taxonomy
TopicsCOVID-19 epidemiological studies · Complex Network Analysis Techniques · Evolutionary Game Theory and Cooperation
