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Mathematical Biosciences and Engineering

2014, Volume 11, Issue 3: 471-509. doi: 10.3934/mbe.2014.11.471
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A metapopulation model for sylvatic T. cruzi transmission with vector migration

  • 1.
    Dallas Baptist University, 3000 Mountain Creek Pkwy, Dallas, TX 75211
  • 2.
    UT Arlington Mathematics Dept, Box 19408, Arlington, TX 76019-0408
  • Received: 01 May 2012 Accepted: 29 June 2018 Published: 01 January 2014

  • MSC : Primary: 92D30, 92D40; Secondary: 37N25.

  • 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[J]. Mathematical Biosciences and Engineering, 2014, 11(3): 471-509. doi: 10.3934/mbe.2014.11.471

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  • 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.


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