Interplay between HIV/AIDS Epidemics and Demographic Structures Based on Sexual Contact Networks
arXiv:physics/0602173 · doi:10.1142/S0129183107011108
Abstract
In this article, we propose a network spread model for HIV epidemics, wherein each individual is represented by a node of the transmission network and the edges are the connections between individuals along which the infection may spread. The sexual activity of each individual, measured by its degree, is not homogeneous but obeys a power-law distribution. Due to the heterogeneity of activity, the infection can persistently exist at a very low prevalence, which has been observed in real data but can not be illuminated by previous models with homogeneous mixing hypothesis. Furthermore, the model displays a clear picture of hierarchical spread: In the early stage the infection is adhered to these high-risk persons, and then, diffuses toward low-risk population. The prediction results show that the development of epidemics can be roughly categorized into three patterns for different countries, and the pattern of a given country is mainly determined by the average sex-activity and transmission probability per sexual partner. In most cases, the effect of HIV epidemics on demographic structure is very small. However, for some extremely countries, like Botswana, the number of sex-active people can be depressed to nearly a half by AIDS.
23 pages, 12 figures
References in corpus (21)
- Emergence of scaling in random networks
- Statistical mechanics of complex networks
- The structure and function of complex networks
- Epidemic spreading in scale-free networks
- Uncovering the overlapping community structure of complex networks in nature and society
- Random graphs with arbitrary degree distributions and their applications
- Evolution of networks
- The Web of Human Sexual Contacts
- Velocity and hierarchical spread of epidemic outbreaks in scale-free networks
- Small world effect in an epidemiological model
- Behaviors of susceptible-infected epidemics on scale-free networks with identical infectivity
- Maximal planar networks with large clustering coefficient and power-law degree distribution
- Epidemic Incidence in Correlated Complex Networks
- Epidemic spread in weighted scale-free networks
- Efficiency and reliability of epidemic data dissemination in complex networks
- On network bipartivity
- Recoverable prevalence in growing scale-free networks and the effective immunization
- Human Sexual Contact Network as a Bipartite Graph
- Distribution of infected mass in disease spreading in scale-free networks
- Model of mobile agents for sexual interactions networks
- Cluster size distribution of infection in a system of mobile agents