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Zhang, Ciyuan; Leung, Humphrey; Butler, Brooks A.; Paré, Philip E. (, IEEE Transactions on Control of Network Systems)
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She, Baike; Leung, Humphrey; Sundaram, Shreyas; Pare, Philip E. (, 2021 60th IEEE Conference on Decision and Control (CDC))
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She, Baike; Leung, Humphrey C.; Sundaram, Shreyas; Paré, Philip E. (, 2021 60th IEEE Conference on Decision and Control (CDC))We propose an SIR epidemic model coupled with opinion dynamics to study an epidemic and opinions spreading in a network of communities. Our model couples networked SIR epidemic dynamics and opinions towards the severity of the epidemic. We develop an epidemic-opinion based threshold condition to capture the moment when a weighted average of the epidemic states starts to decrease exponentially fast over the network, namely the peak infection time. We define an effective reproduction number to characterize the behavior of the model through the peak infection time. We use both analytical and simulation-based results to illustrate that the opinions reflect the recovered levels within the communities after the epidemic dies out.more » « less
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