Adaptive behaviour and multiple equilibrium states in a predator–prey model

Alexander Pimenov, Thomas C. Kelly, Andrei Korobeinikov, O’Callaghan, Michael J.A. and Dmitrii Rachinskii

Theoretical Population Biology, 2015, vol. 101, issue C, 24-30

Abstract: There is evidence that multiple stable equilibrium states are possible in real-life ecological systems. Phenomenological mathematical models which exhibit such properties can be constructed rather straightforwardly. For instance, for a predator–prey system this result can be achieved through the use of non-monotonic functional response for the predator. However, while formal formulation of such a model is not a problem, the biological justification for such functional responses and models is usually inconclusive.

Keywords: Predator–prey model; Co-existence; Stability of biosystems; Multiple equilibria; Predator pit; Fold bifurcation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:101:y:2015:i:c:p:24-30

DOI: 10.1016/j.tpb.2015.02.004

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