# American Institute of Mathematical Sciences

2014, 11(3): 471-509. doi: 10.3934/mbe.2014.11.471

## A metapopulation model for sylvatic T. cruzi transmission with vector migration

 1 Dallas Baptist University, 3000 Mountain Creek Pkwy, Dallas, TX 75211, United States 2 UT Arlington Mathematics Dept, Box 19408, Arlington, TX 76019-0408, United States

Received  May 2012 Revised  April 2013 Published  January 2014

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.
Citation: Britnee Crawford, Christopher Kribs-Zaleta. A metapopulation model for sylvatic T. cruzi transmission with vector migration. Mathematical Biosciences & Engineering, 2014, 11 (3) : 471-509. doi: 10.3934/mbe.2014.11.471
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