Abstract
A simple mathematical model has been formulated to model a simple rotational grazing system of two fields, where a mob of animals is grazed first in one field, then the other. By using linear functions for the rate of herbage mass accumulation and for the rate of animal herbage intake, this system may be solved explicitly to yield expressions for (1) the total intake per animal over the time period, and (2) the total remaining herbage after grazing. Regarding the swap over time as an optimal control variable, these expressions can be optimized. The results are analysed for various initial conditions, including stocking rate, initial biomass in each field, and field Comparisons are made with continuous grazing. Extensions to the model are discussed.
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