The European rabbit (Oryctolagus cuniculus) is one of the most successful invasive mammals in Australia, causing substantial economic losses in agriculture and damage to the environment. The Lockyer Valley in South East Queensland is an important vegetable growing region in Australia. Unlike most other regions of Australia where rabbits have been an endemic problem for a long time, rabbits invaded this region in 2009, causing increasing crop losses. Many rabbit control methods are available to vegetable growers, but there is no rabbit-density threshold available for managing damage to vegetable crops because little is known of how different densities of rabbits reduce crop yields. In this thesis, I aim to determine the density thresholds for managing rabbit damage to broccoli and corn crops, and to understand how the broccoli plant compensates for damage. This information will assist vegetable growers in developing an effective management strategy for rabbit control. Known densities of rabbits (0, 3.75, 7.5, 15 and 30 rabbits per hectare) of rabbits were introduced into broccoli crops for a predetermined period of time (24 days) at different plant development stages (single-point damage), and yield losses caused by rabbits were measured. The study was conducted in rabbit and predator-proof enclosure at The University of Queensland (UQ) Gatton campus in 2014 and 2015. When rabbits were introduced to broccoli at the seedling stage (14 days after transplanting [DAT]), the relationship between introduced rabbit density (DI) and yield loss (YL) was linear, with YL increasing with DI. When rabbits were introduced at the establishment stage (28 DAT), there was no significant relationship between DI and YL. Thus, rabbit control is most critical at the seedling stage. The density threshold (DT) was estimated based on the relationship between DI and YL at the seedling stage. DT varied depending on the effectiveness of the control method in reducing DI and on the cost of control as a percentage of the farm-gate value of broccoli. For example, DT would need to be 6.54 rabbits per hectare for triggering RABBAIT ® 1080 carrot baiting, if this method was effective in reducing DI by 94% and if the cost of baiting was 1.01% of the farm-gate value of broccoli. To assess the ability of broccoli crops to compensate for damage caused by rabbits, simulated rabbit damage was performed under greenhouse conditions at UQ Gatton campus from June 2015 to January 2016. Part of each leaf (equivalent to 5%, 10%, 25%, 50% and 80%) from each plant was removed manually to simulate these levels of canopy damage at the seedling stage (5 leaves, 17 DAT), establishment stage (7 leaves, 28 DAT