Document Type
Article
Source Publication Title
Mathematical Biosciences and Engineering
First Page
471
Last Page
509
DOI
http://dx.doi.org/10.3934/mbe.2014.11.471
Abstract
This study presents a metapopulation model for the sylvatic transmission of Trypanosoma cruzi, the etiological agent of Chagas' disease, across multiple geographical regions and multiple overlapping host-vector transmission cycles. Classical qualitative analysis of the model and several submodels focuses on the parasite's basic reproductive number, illustrating how vector migration across patches and multiple transmission routes to hosts (including vertical transmission) determine the infection's persistence in each cycle. Numerical results focus on trends in endemic [equilibrium] persistence levels as functions of vector migration rates, and highlight the significance of the different epidemiological characteristics of transmission in each of the three regions.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
6-1-2014
Language
English
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Kribs, Christopher and Crawford, Britnee, "A metapopulation model for sylvatic T. cruzi transmission with vector migration" (2014). Mathematics Faculty Publications. 35.
https://mavmatrix.uta.edu/math_facpubs/35
Comments
This research was supported by a 2008 Norman Hackerman Advanced Research Program grant and by the National Science Foundation under grant DMS-1020880.