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Lotka-Volterra Model With Alternating Predator-prey Reversals in the Left-right Political Spectrum

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Predator-prey reversal: "In marine benthic communities, rock lobsters, Jasus lalandii, usually represent a keystone predator in diverse ecosystems. However, if its common prey, the whelk (Burnupena sp.), greatly outnumbers the rock lobster, it may result in an alternative stable ecosystem where rock lobsters are killed by whelks, which dominate in the alternated ecosystem." What if this system were bistable and looped indefinitely? The basic schematics of this system remind me of the alternation between left and right political dominance over time due to changes in a political landscape which shifts between two stable political paradigms, with the intermediate stance being centrism. The point at which the left-right political paradigm reversal is initiated might be explained by some kind of population threshold which, when reached, causes the 'predator' entity to become complacent and decline, or the 'prey' entity to adapt to the new paradigm and com