Chaos in a Predator-Prey Model with an Omnivore∗†
نویسنده
چکیده
The dynamics of the planar two-species Lotka-Volterra predator-prey model are well-understood. Onto such a predator-prey model, we introduce a third species, a scavenger of the prey. Our model allows for two scenarios, one where the scavenger is also a predator of the original prey, and one where the presence of the scavenger simply inhibits the prey. We show all trajectories are bounded in forward time, and numerically demonstrate persistent cascades of period-doubling orbits over a wide range of parameter values.
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