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The impact of behavioral change on the epidemic under the benefit comparison

School of Science, North University of China, Taiyuan 030051, China

Special Issues: Modeling, analysis and computation in Mathematical Biology

Human behavior has a major impact on the spread of the disease during an epidemic. At the same time, the spread of disease has an impact on human behavior. In this paper, we propose a coupled model of human behavior and disease transmission, take into account both individual-based risk assessment and neighbor-based replicator dynamics. The transmission threshold of epidemic disease and the stability of disease-free equilibrium point are analyzed. Some numerical simulations are carried out for the system. Three kinds of return matrices are considered and analyzed one by one. The simulation results show that the change of human behavior can effectively inhibit the spread of the disease, individual-based risk assessments had a stronger effect on disease suppression, but also more hitchhikers. This work contributes to the study of the relationship between human behavior and disease epidemics.
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Keywords behavioral change; epidemic spread; game theory; stability; hitchhiking

Citation: Maoxing Liu, Rongping Zhang, Boli Xie. The impact of behavioral change on the epidemic under the benefit comparison. Mathematical Biosciences and Engineering, 2020, 17(4): 3412-3425. doi: 10.3934/mbe.2020193

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