Abstract
In this work we examine a predator-prey system which incorporates competition among prey and a fairly general functional response. Hopf bifurcation theory is used to determine the direction, period, stability and asymptotic amplitude of small amplitude periodic solutions for this system. These are computed for Holling's type 2 functional response which allows for predator satiation, and are further discussed in the special case when this satiation is weaker than the interaction between prey and predator. The effect of harvesting predators at a rate proportional to their population is briefly examined. Finally, we give the results for a more general sigmoid functional response.
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