An edge-based SIR model for sexually transmitted diseases on the contact network. (14th February 2018)

• Record Type: Journal Article
• Authors: Yan, Shuixian; Zhang, Yu; Ma, Junling; Yuan, Sanling
• Is Part Of: Journal of theoretical biology. Volume 439(2018)
• Page Start: 216
• Page End: 225
• Publication Date: 2018-02-14
• Subjects: Sexually transmitted diseases -- SIR epidemic model -- Bipartite random network -- Initial value -- Reproduction number -- Epidemic final size; 92D25 -- 92D30; Biology -- Periodicals; Biological Science Disciplines -- Periodicals; Biology -- Periodicals; Biologie -- Périodiques; Theoretische biologie; Biology; Periodicals; 571.05
• DOI: 10.1016/j.jtbi.2017.12.003
• Languages: English
• ISSNs: 0022-5193

Abstract

Highlights: A novel model for SIR type sexually transmitted diseases on a bipartite random contact network is developed. Our model is precise with arbitrary initial conditions. The reproduction number is derived and R 0 = 1 is shown the disease threshold. An implicit formula for the final epidemic size is also derived. Our model is suitable to study preventative vaccination strategies. Abstract: Sexually transmitted diseases, which are infections through sexual contact, pose severe public health threat nowadays. In this paper, we develop a novel model for such diseases on a bipartite random contact network. Our model is precise with arbitrary initial conditions, which makes it suitable to study preventative vaccination strategies. We derive the reproduction number and show that R 0 = 1 is the disease threshold. An implicit formula for the final epidemic size is also derived, and we show that the formula gives a unique positive final epidemic size when the reproduction number is larger than unity. We find that the final size in either sex is heavily influenced by the degree distribution of the opposite sex.