Abstract
An analysis, using mathematical models, is presented of the ecological, genetic and economic factors that determine the optimal strategies for the long-term use of chemical control of Boophilus microplus (Can.) on cattle. As an illustration, the control of the tick in south-eastern Queensland is considered, but the approach is readily applicable in any other geographical area. It is suggested that optimal strategies take into account the need to delay the development of resistance to acaricides. The suggested strategies involve the use of tick-resistant Zebu-type cattle as a basis for tick control. High concentrations of acaricides are recommended to reduce seleotion of resistant ticks. Careful timing and moderation in the use of acaricides is also recommended to minimise the number of occasions on which resistant ticks are subjected to selection at times when they can successfully reproduce. As the spread of resistance is thought to occur primarily on moving cattle and before resistance is evident, stringent quarantine measures may slow down the spread.

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