Mathematical Biosciences & Engineering
Ticks and tick-borne diseases have been on the move throughout the United State over the past twenty years. We use an agent-based model, TICKSIM, to identify the key parameters that determine the success of invasion of the tick and if that is successful, the success of the tick-borne pathogen. We find that if an area has competent hosts, an initial population of ten ticks is predicted to always establish a new population. The establishment of the tick-borne pathogen depends on three parameters: the initial prevalence in the ten founding ticks, the probability that a tick infects the longer-lived hosts and the probability that a tick infects the shorter lived hosts. These results indicate that the transmission rates to hosts in the newly established area can be used to predict the potential risk of disease to humans.
Original Publication Citation
Gaff, H., & Nadolny, R. (2013). Identifying requirements for the invasion of a tick species and tick-borne pathogen through TICKSIM. Mathematical Biosciences & Engineering, 10(3), 625-635. doi:10.3934/mbe.2013.10.625
Gaff, Holly and Nadolny, Robyn, "Identifying Requirements for the Invasion of a Tick Species and Tick-Borne Pathogen Through TICKSIM" (2013). Biological Sciences Faculty Publications. 260.