A metapopulation model for sylvatic T. cruzi transmission with vector migration
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 submode...
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.471 |
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| author | Britnee Crawford Christopher Kribs-Zaleta |
| author_facet | Britnee Crawford Christopher Kribs-Zaleta |
| author_sort | Britnee Crawford |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8d70ccbbca6340a5948bf26fa45d6eca |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-8d70ccbbca6340a5948bf26fa45d6eca2025-01-24T02:28:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-12-0111347150910.3934/mbe.2014.11.471A metapopulation model for sylvatic T. cruzi transmission with vector migrationBritnee Crawford0Christopher Kribs-Zaleta1Dallas Baptist University, 3000 Mountain Creek Pkwy, Dallas, TX 75211UT Arlington Mathematics Dept, Box 19408, Arlington, TX 76019-0408This 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.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.471dynamical systemst. cruzireproductive number.vector migrationmetapopulation model |
| spellingShingle | Britnee Crawford Christopher Kribs-Zaleta A metapopulation model for sylvatic T. cruzi transmission with vector migration Mathematical Biosciences and Engineering dynamical systems t. cruzi reproductive number. vector migration metapopulation model |
| title | A metapopulation model for sylvatic T. cruzi transmission with vector migration |
| title_full | A metapopulation model for sylvatic T. cruzi transmission with vector migration |
| title_fullStr | A metapopulation model for sylvatic T. cruzi transmission with vector migration |
| title_full_unstemmed | A metapopulation model for sylvatic T. cruzi transmission with vector migration |
| title_short | A metapopulation model for sylvatic T. cruzi transmission with vector migration |
| title_sort | metapopulation model for sylvatic t cruzi transmission with vector migration |
| topic | dynamical systems t. cruzi reproductive number. vector migration metapopulation model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.471 |
| work_keys_str_mv | AT britneecrawford ametapopulationmodelforsylvatictcruzitransmissionwithvectormigration AT christopherkribszaleta ametapopulationmodelforsylvatictcruzitransmissionwithvectormigration AT britneecrawford metapopulationmodelforsylvatictcruzitransmissionwithvectormigration AT christopherkribszaleta metapopulationmodelforsylvatictcruzitransmissionwithvectormigration |