Modeling evolution and persistence of neurological viral diseases in wild populations
Viral infections are one of the leading source of mortality worldwide.The great majority of them circulate and persist in wild reservoirs and periodically spill over into humans or domestic animals.In the wild reservoirs, the progression of disease is frequently quite different from that in spillove...
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| Format: | Article |
| Language: | English |
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AIMS Press
2008-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.729 |
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| author | Dobromir T. Dimitrov Aaron A. King |
| author_facet | Dobromir T. Dimitrov Aaron A. King |
| author_sort | Dobromir T. Dimitrov |
| collection | DOAJ |
| description | Viral infections are one of the leading source of mortality worldwide.The great majority of them circulate and persist in wild reservoirs and periodically spill over into humans or domestic animals.In the wild reservoirs, the progression of disease is frequently quite different from that in spillover hosts.We propose a mathematical treatment of the dynamics of viral infections in wild mammals using models with alternative outcomes.We develop and analyze compartmental epizootic models assuming permanent or temporary immunity of the individuals surviving infections and apply them to rabies in bats.We identify parameter relations that support the existing patterns in the viral ecology and estimate those parameters that are unattainable through direct measurement.We also investigate how the duration of the acquired immunity affects the disease and population dynamics. |
| format | Article |
| id | doaj-art-af2d309ab0354882a1dbcde356675be1 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-af2d309ab0354882a1dbcde356675be12025-01-24T01:58:42ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-09-015472974110.3934/mbe.2008.5.729Modeling evolution and persistence of neurological viral diseases in wild populationsDobromir T. Dimitrov0Aaron A. King1Fred Hutchinson Cancer Research Center, 1100 Fairview Ave N., LE-400, P.O. Box 19024, Seattle, WA 98109-1024Fred Hutchinson Cancer Research Center, 1100 Fairview Ave N., LE-400, P.O. Box 19024, Seattle, WA 98109-1024Viral infections are one of the leading source of mortality worldwide.The great majority of them circulate and persist in wild reservoirs and periodically spill over into humans or domestic animals.In the wild reservoirs, the progression of disease is frequently quite different from that in spillover hosts.We propose a mathematical treatment of the dynamics of viral infections in wild mammals using models with alternative outcomes.We develop and analyze compartmental epizootic models assuming permanent or temporary immunity of the individuals surviving infections and apply them to rabies in bats.We identify parameter relations that support the existing patterns in the viral ecology and estimate those parameters that are unattainable through direct measurement.We also investigate how the duration of the acquired immunity affects the disease and population dynamics.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.729epizootic models; zoonotic infection; rabies; bats |
| spellingShingle | Dobromir T. Dimitrov Aaron A. King Modeling evolution and persistence of neurological viral diseases in wild populations Mathematical Biosciences and Engineering epizootic models; zoonotic infection; rabies; bats |
| title | Modeling evolution and persistence of neurological viral diseases in wild populations |
| title_full | Modeling evolution and persistence of neurological viral diseases in wild populations |
| title_fullStr | Modeling evolution and persistence of neurological viral diseases in wild populations |
| title_full_unstemmed | Modeling evolution and persistence of neurological viral diseases in wild populations |
| title_short | Modeling evolution and persistence of neurological viral diseases in wild populations |
| title_sort | modeling evolution and persistence of neurological viral diseases in wild populations |
| topic | epizootic models; zoonotic infection; rabies; bats |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.729 |
| work_keys_str_mv | AT dobromirtdimitrov modelingevolutionandpersistenceofneurologicalviraldiseasesinwildpopulations AT aaronaking modelingevolutionandpersistenceofneurologicalviraldiseasesinwildpopulations |