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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| Main Author: | |
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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 |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.463 |
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| Summary: | 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. |
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| ISSN: | 1551-0018 |