THE IMPACT OF HUMAN LOCATION-SPECIFIC CONTACT PATTERN ON THE SIR EPIDEMIC TRANSMISSION BETWEEN POPULATIONS

被引:28
|
作者
Wang, Lin [1 ]
Zhang, Yan [1 ]
Wang, Zhen [2 ,3 ]
Li, Xiang [1 ]
机构
[1] Fudan Univ, Dept Elect Engn, Adapt Networks & Control Lab, Shanghai 200433, Peoples R China
[2] Hong Kong Baptist Univ, Dept Phys, Ctr Nonlinear Studies, Kowloon Tong, Hong Kong, Peoples R China
[3] Hong Kong Baptist Univ, Beijing Hong Kong Singapore Joint Ctr Nonlinear &, Kowloon Tong, Hong Kong, Peoples R China
来源
基金
高等学校博士学科点专项科研基金;
关键词
Complex dynamics behaviors in spreading; structured populations; human contact pattern; epidemic threshold; next generation matrix; SMALL-WORLD; SPREAD; MODEL; NETWORKS;
D O I
10.1142/S0218127413500958
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The structured-population model is extensively used to study the complexity of epidemic dynamics. In many seminal researches, the impact of human mobility on the outbreak threshold has been profoundly studied, with the general assumption that the human contact pattern is mixing homogeneously. As the individual contact is assumed uniform among different subpopulations, the basic reproductive number, R-0, which relates to the stability at the disease-free equilibrium, is equal to the same constant on separate locations. However, recent studies have shown that there may exist location-related factors driving the variance of disease incidence between populations, in reality. Therefore, in this study, the location-specific heterogeneous contact pattern has been introduced into a famous phenomenological structured-population model, where bidirectional recurrent commuting flows couple two typical subpopulations, to study the complex dynamics behaviors of spatial transmission of epidemics. Besides the usual SIR epidemic dynamics with birth and death processes, we take into account the contact process by assigning each member from a given subpopulation with a characteristic contact rate. Through theoretical arguments and agent-based computer simulations, we unveil that the stressed element dramatically affects the epidemic threshold of the system.
引用
收藏
页数:9
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