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ROSENZWEIG'S RESULT (ROSENZWEIG 1971)

Rosenzweig used Ordinary Differential Equation models to simulate the prey population. Models only represented prey populations. Enrichment was taken to be increasing the prey Carrying Capacity and showing that the prey population destabilized, usually into a Limit Cycle .

The cycling behavior after destabilization was more thoroughly explored in a subsequent paper (May 1972) and discussion (Gilpin and Rozenzweig 1972).


REFERENCES

  • Gilpin, Michael and Michael Rosenzweig. 1972. "Enriched Predator-Prey Systems: Theoretical Stability" ''Science'' Vol. 177, pp. 902-904.

  • May, Robert. 1972. "Limit Cycles in Predator-Prey Communities" ''Science'' Vol. 177, pp. 900-902.

  • Rosenzweig, Michael. 1971. "The Paradox of Enrichment" ''Science'' Vol. 171: pp. 385-387