On the stabilizing effect of predators and competitors on ecological communities |
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| Authors: | J Hofbauer K Sigmund |
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| Institution: | (1) Institut für Mathematik der Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria;(2) IIASA, Laxenburg, Austria |
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| 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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| Keywords: | Permanence Heteroclinic cycles Lotka-Volterra equations |
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