Abstract
Ecological communities can lose their permanence if a predator or a competitor is removed: the remaining species no longer coexist. This well-known phenomenon is analysed for some low dimensional examples of Lotka-Volterra type, with special attention paid to the occurrence of heteroclinic cycles.
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Hofbauer, J., Sigmund, K. On the stabilizing effect of predators and competitors on ecological communities. J. Math. Biology 27, 537–548 (1989). https://doi.org/10.1007/BF00288433
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DOI: https://doi.org/10.1007/BF00288433