Preliminary analysis of an agent-based model for a tick-borne disease
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Received:
01 March 2010
Accepted:
29 June 2018
Published:
01 April 2011
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MSC :
Primary: 92B08; Secondary: 90B15.
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Ticks have a unique life history including a distinct set of life stages and a
single blood meal per life stage. This makes tick-host interactions more complex
from a mathematical perspective. In addition, any model of these interactions
must involve a significant degree of stochasticity on the individual tick level.
In an attempt to quantify these relationships, I have developed an individual-based
model of the interactions between ticks and their hosts as well as the transmission
of tick-borne disease between the two populations. The results from this model are
compared with those from previously published differential equation based population
models. The findings show that the agent-based model produces significantly lower prevalence
of disease in both the ticks and their hosts than what is predicted by a similar
differential equation model.
Citation: Holly Gaff. Preliminary analysis of an agent-based model for a tick-borne disease[J]. Mathematical Biosciences and Engineering, 2011, 8(2): 463-473. doi: 10.3934/mbe.2011.8.463
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Abstract
Ticks have a unique life history including a distinct set of life stages and a
single blood meal per life stage. This makes tick-host interactions more complex
from a mathematical perspective. In addition, any model of these interactions
must involve a significant degree of stochasticity on the individual tick level.
In an attempt to quantify these relationships, I have developed an individual-based
model of the interactions between ticks and their hosts as well as the transmission
of tick-borne disease between the two populations. The results from this model are
compared with those from previously published differential equation based population
models. The findings show that the agent-based model produces significantly lower prevalence
of disease in both the ticks and their hosts than what is predicted by a similar
differential equation model.
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