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Analysis of epidemic spreading with feedback mechanism in weighted networks

Analysis of epidemic spreading with feedback mechanism in weighted networks
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摘要 In this paper, we investigate a new model with a generalized feedback mechanism in weighted networks. Compare to previous models, we consider the initiative response of people and the important impact of nodes with different edges on transmission rate as epidemics prevail. Furthermore, by constructing Lyapunov function, we prove that the disease-free equilibrium E^0 is globally asymptotically stable as the epidemic threshold R^*〈 1. When R^* 〉 1, we obtain the permanence of epidemic and the local stability of endemic equilibrium E*. Finally, one can find a good agreement between numerical simulations and our analytical results.
出处 《International Journal of Biomathematics》 2015年第1期81-91,共11页 生物数学学报(英文版)
基金 This work is supported by the National Natural Science Foundation of China under Grant 61174039. The authors would like to thank the editor and the reviewers for their constructive comments and suggestions to improve the quality of this paper.
关键词 SIS model weighted network feedback mechanism global analysis 机制分析 加权网络 反馈 李雅普诺夫函数 无病平衡点 全局渐近稳定 局部稳定性 边缘节点
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