Journal
MATHEMATICAL BIOSCIENCES
Volume 270, Issue -, Pages 115-125Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.mbs.2015.10.012
Keywords
Basic reproduction number; HPV; Multisite model; Autoinoculation; Heterogeneity; Disease control
Categories
Funding
- NIH [1U01CA182915-01A1]
- University of Michigan MCubed program
Ask authors/readers for more resources
The human papillomavirus (HPV) is sexually transmitted and can infect oral, genital, and anal sites in the human epithelium. Here, we develop a multisite transmission model that includes autoinoculation to study HPV and other multisite diseases. Under a homogeneous-contacts assumption, we analyze the basic reproduction number R-0, as well as type and target reproduction numbers, for a two-site model. In particular, we find that R-0 occupies a space between taking the maximum of next generation matrix terms for same site transmission and taking the geometric average of cross-site transmission terms in such a way that heterogeneity in the same-site transmission rates increases Ro while heterogeneity in the cross-site transmission decreases it. Additionally, autoinoculation adds considerable complexity to the form of Ro. We extend this analysis to a heterosexual population, which additionally yields dynamics analogous to those of vector-host models. We also examine how these issues of heterogeneity may affect disease control, using type and target reproduction numbers. (C) 2015 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available