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Spreading dynamics of a SIQRS epidemic model on scale-free networks
Affiliation:1. School of Electronics and Information, Yangtze University, Jingzhou 434023, PR China;2. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, PR China;1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;2. Department of Mathematics, Xinyang Normal University, Xinyang 464000, China;1. School of Management and Economics, Beijing Institute of Technology, Beijing, China;2. Sustainable Development Research Institute for Economy and Society of Beijing, Beijing, China;1. Department of Mathematics, Tongji University, Shanghai, 200092, PR China;2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, 350002, PR China;1. Department of Mathematics, Shanghai University, Shanghai 200444, PR China;2. School of Mathematics and Physics, Changzhou University, Changzhou 213016, Jiangsu, PR China;1. Department of Mathematics, National Kaohsiung Normal University, Yanchao District, Kaohsiung City 82444, Taiwan, ROC;2. Department of Computer Science and Information Engineering, Taoyuan Innovation Institute of Technology, Jhongli City, Taoyuan County 32091, Taiwan, ROC;3. Department of Mathematics, National Central University, Jhongli City, Taoyuan County 32001, Taiwan, ROC
Abstract:In order to investigate the influence of heterogeneity of the underlying networks and quarantine strategy on epidemic spreading, a SIQRS epidemic model on the scale-free networks is presented. Using the mean field theory the spreading dynamics of the virus is analyzed. The spreading critical threshold and equilibria are derived. Theoretical results indicate that the critical threshold value is significantly dependent on the topology of the underlying networks and quarantine rate. The existence of equilibria is determined by threshold value. The stability of disease-free equilibrium and the permanence of the disease are proved. Numerical simulations confirmed the analytical results.
Keywords:Epidemic spreading  Heterogeneity  Quarantine  Scale-free networks  Threshold
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