Preliminary analysis of an agent-based model for a tick-borne disease
Ticks have a unique life history including a distinct set of life stages and asingle blood meal per life stage. This makes tick-host interactions more complexfrom a mathematical perspective. In addition, any model of these interactionsmust involve a significant degree of stochasticity on the individ...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.463 |
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| _version_ | 1832590222100004864 |
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| author | Holly Gaff |
| author_facet | Holly Gaff |
| author_sort | Holly Gaff |
| collection | DOAJ |
| description | Ticks have a unique life history including a distinct set of life stages and asingle blood meal per life stage. This makes tick-host interactions more complexfrom a mathematical perspective. In addition, any model of these interactionsmust involve a significant degree of stochasticity on the individual tick level.In an attempt to quantify these relationships, I have developed an individual-basedmodel of the interactions between ticks and their hosts as well as the transmissionof tick-borne disease between the two populations. The results from this model arecompared with those from previously published differential equation based populationmodels. The findings show that the agent-based model produces significantly lower prevalenceof disease in both the ticks and their hosts than what is predicted by a similardifferential equation model. |
| format | Article |
| id | doaj-art-d91f1e7cff0745f5aff70b9847753155 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-d91f1e7cff0745f5aff70b98477531552025-01-24T02:01:39ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-03-018246347310.3934/mbe.2011.8.463Preliminary analysis of an agent-based model for a tick-borne diseaseHolly Gaff0Department of Biological Sciences, Old Dominion University, Norfolk, VA 23529Ticks have a unique life history including a distinct set of life stages and asingle blood meal per life stage. This makes tick-host interactions more complexfrom a mathematical perspective. In addition, any model of these interactionsmust involve a significant degree of stochasticity on the individual tick level.In an attempt to quantify these relationships, I have developed an individual-basedmodel of the interactions between ticks and their hosts as well as the transmissionof tick-borne disease between the two populations. The results from this model arecompared with those from previously published differential equation based populationmodels. The findings show that the agent-based model produces significantly lower prevalenceof disease in both the ticks and their hosts than what is predicted by a similardifferential equation model.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.463agent-based modeltick-borne disease. |
| spellingShingle | Holly Gaff Preliminary analysis of an agent-based model for a tick-borne disease Mathematical Biosciences and Engineering agent-based model tick-borne disease. |
| title | Preliminary analysis of an agent-based model for a tick-borne disease |
| title_full | Preliminary analysis of an agent-based model for a tick-borne disease |
| title_fullStr | Preliminary analysis of an agent-based model for a tick-borne disease |
| title_full_unstemmed | Preliminary analysis of an agent-based model for a tick-borne disease |
| title_short | Preliminary analysis of an agent-based model for a tick-borne disease |
| title_sort | preliminary analysis of an agent based model for a tick borne disease |
| topic | agent-based model tick-borne disease. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.463 |
| work_keys_str_mv | AT hollygaff preliminaryanalysisofanagentbasedmodelforatickbornedisease |