The discrete dual-harvester single-resource model is derived; two populations differing only in their harvesting rates compete for a single-resource. It is shown that the only stable equilibrium occurs when the lower harvesting population reaches extinction. The stability conditions for that equilibrium are derived. The consequence of the fact that the higher harvesting population dominates is a potential ‘harvest-rate arms-race’ that ends with extinction of both populations.

harvesting models, discrete population dynamics, linear stability analysis.