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Multiple stable equilibria in a predator-prey system (1986)

Harrison, Gary W.

Springer

Bulletin of mathematical biology 48 (1986), S. 137-148

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ISSN: 1522-9602

Source: Springer Online Journal Archives 1860-2000

Topics: Biology , Mathematics

Notes: Abstract Necessary and sufficient conditions are given for three equilibria to occur in a predatorprey model and conditions are given for two of these to be stable. The existence of two stable equilibria requires predator intraspecific competition for either space or food, and the lower the prey growth rate the stronger this predator self-regulation must be. A prey growth rate that is skewed to the right, the ability of a few predators to survive at low prey densities, and predators with high searching effectiveness, long handling times, and large maximum per capita rate of increase all make two stable equilibria more likely.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02460019

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