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	Modeling Heterogeneity in Direct Infectious Disease Transmission in a Compartmental Model
	Kong L. C.; Wang, J. F.; Han, W. G.; Cao, Z. D.
	2016
关键词	infectious diseases heterogeneity negative binomial distribution homogeneous mixing mathematical models acute-respiratory-syndrome vaccination strategies nonlinear transmission epidemiologic models pandemic influenza dynamics networks measles environments impact
英文摘要	Mathematical models have been used to understand the transmission dynamics of infectious diseases and to assess the impact of intervention strategies. Traditional mathematical models usually assume a homogeneous mixing in the population, which is rarely the case in reality. Here, we construct a new transmission function by using as the probability density function a negative binomial distribution, and we develop a compartmental model using it to model the heterogeneity of contact rates in the population. We explore the transmission dynamics of the developed model using numerical simulations with different parameter settings, which characterize different levels of heterogeneity. The results show that when the reproductive number, [GRAPHICS] , is larger than one, a low level of heterogeneity results in dynamics similar to those predicted by the homogeneous mixing model. As the level of heterogeneity increases, the dynamics become more different. As a test case, we calibrated the model with the case incidence data for severe acute respiratory syndrome (SARS) in Beijing in 2003, and the estimated parameters demonstrated the effectiveness of the control measures taken during that period.
出处	International Journal of Environmental Research and Public Health
卷	13
期	3
语种	英语
ISSN号	1660-4601
DOI标识	10.3390/ijerph13030253
内容类型	SCI/SSCI论文
源URL	[http://ir.igsnrr.ac.cn/handle/311030/43018]
专题	地理科学与资源研究所_历年回溯文献
推荐引用方式 GB/T 7714	Kong L. C.,Wang, J. F.,Han, W. G.,et al. Modeling Heterogeneity in Direct Infectious Disease Transmission in a Compartmental Model. 2016.

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