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Since Rosenzweig showed the destabilisation of exploited ecosystems, the so called , several
mechanisms have been proposed to resolve this paradox. In this paper we will show that a feeding threshold in the functional response for predators feeding on a prey population stabilizes the system and that there exists a minimum
threshold value above which the predator-prey system is unconditionally stable with respect to enrichment. Two models are
analysed, the first being the classical Rosenzweig-MacArthur...
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