The impact of media converge on complex networks on disease transmission

Maoxing Liu; Shushu He; Yongzheng Sun; Maoxing Liu; Shushu He; Yongzheng Sun

doi:10.3934/mbe.2019316

Mathematical Biosciences and Engineering

2019, Volume 16, Issue 6: 6335-6349. doi: 10.3934/mbe.2019316

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The impact of media converge on complex networks on disease transmission

1.
School of Science, North University of China, Taiyuan, Shanxi 030051, P. R. China
2.
School of Science, China University of Mining and Technology, Xuzhou, Jiangsu, 221008, P. R. China

Received: 26 March 2019 Accepted: 03 July 2019 Published: 09 July 2019

In this paper, we propose an epidemic disease model about the effect of media coverage on complex networks, where the contacts between nodes are treated as a social network. We calculate the basic reproduction number R₀ and get that the disease-free equilibrium is locally and globally asymptotically stable if R₀ < 1, otherwise disease-free equilibrium is unstable and there exists a unique endemic equilibrium, and the disease is permanent. And two immunization strategies are considered: proportional and target immunization. By comparing two immunization strategies, it is found that the target immunization is better than the proportional immunization. Finally, numerical simulations verify our results and some discussions of vaccination strategies are done in the control of infectious dseases.
- infectious diseases,
- complex network,
- basic reproduction number,
- stability,
- immunization
Citation: Maoxing Liu, Shushu He, Yongzheng Sun. The impact of media converge on complex networks on disease transmission[J]. Mathematical Biosciences and Engineering, 2019, 16(6): 6335-6349. doi: 10.3934/mbe.2019316

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Abstract

In this paper, we propose an epidemic disease model about the effect of media coverage on complex networks, where the contacts between nodes are treated as a social network. We calculate the basic reproduction number R₀ and get that the disease-free equilibrium is locally and globally asymptotically stable if R₀ < 1, otherwise disease-free equilibrium is unstable and there exists a unique endemic equilibrium, and the disease is permanent. And two immunization strategies are considered: proportional and target immunization. By comparing two immunization strategies, it is found that the target immunization is better than the proportional immunization. Finally, numerical simulations verify our results and some discussions of vaccination strategies are done in the control of infectious dseases.

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