On global stability of discrete population models |
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Authors: | Gerd Rosenkranz |
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Affiliation: | Universität Heidelberg, Sonderforschungsbereich 123, Im Neuenheimer Feld 293, D-6900 Heidelberg 1, West GermanyGermany |
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Abstract: | A necessary and sufficient condition for the global stability of a large class of discrete population models is provided which does not require the construction of a Liapunov function. The general result is applied to difference equations defined in terms of “two hump” functions and to an example of frequency dependent selection. |
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