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This study examines how predator competition affects spatial patterns in biological pest control systems where predators receive supplemental food. Using mathematical modeling, researchers found that without self-limitation, predator populations grow unboundedly when given extra food, but introducing competition among predators creates three distinct outcomes: uniform population oscillations with weak competition, stable spatial patches with stronger competition and mobile prey, and pulsing spatial patterns at intermediate levels. The work identifies precise mathematical thresholds (Turing-Hopf bifurcations) where these pattern transitions occur in predator-prey systems with supplemental feeding.
Why it matters
The findings provide theoretical guidance for optimizing biological pest control strategies that use supplemental feeding of predator species. Understanding how predator competition shapes spatial distribution patterns could help agricultural managers prevent predator population explosions while maintaining effective pest suppression across fields.
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⚠️ Preprint – Noch nicht peer-reviewed
Dieser Artikel wurde noch nicht von unabhängigen Experten begutachtet. Die Ergebnisse sind vorläufig und sollten mit Vorsicht interpretiert werden.
Abstract: Supplying a released predator with additional, non reproducing food is a standard lever in augmentative biological control, with a known drawback with nothing limiting the predators own numbers, the extra food lets its population grow without bound. Competition among the predators supplies the missing brake. Howthis self limitation reshapes the spatial arrangement of the two species has not been asked. We address it with a reaction diffusion model of a logistically growing prey and a predator feeding through a Holling type II response that also draws on additional food , the predators competing among themselves at strength. In the well mixed setting we locate the Hopf bifurcation of the coexistence state exactly and show the cycle born there is stable, so weak competition gives boom bust oscillations, not runaway growth. Allowing movement, we obtain the diffusion driven Turing threshold at which the uniform state breaks into stationary patches of high and low density, and find the uniform oscillation stable as it appears. With prey mobility and competition strength as control parameters, the pattern forming and oscillatory instabilities meet at a single point, where we compute the dynamics. Simulations confirm the sequence weak competition gives a wholefield oscillation, stronger competition with faster prey spread gives fixed patterns, and near the crossover the two combine into patterns that pulse in time. Predator self competition therefore sets the spatial structure of the community, which is what matters when additional food is used to steer a control agent in the field.