Cyclic prey evolution with cannibalistic predators

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http://hdl.handle.net/10138/304285

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Lehtinen , S O & Geritz , S A H 2019 , ' Cyclic prey evolution with cannibalistic predators ' , Journal of Theoretical Biology , vol. 479 , no. 479 , pp. 1-13 . https://doi.org/10.1016/j.jtbi.2019.06.025

Title: Cyclic prey evolution with cannibalistic predators
Author: Lehtinen, Sami O.; Geritz, Stefanus A.H.
Contributor: University of Helsinki, Department of Mathematics and Statistics
University of Helsinki, Department of Mathematics and Statistics
Date: 2019-10-21
Language: eng
Number of pages: 13
Belongs to series: Journal of Theoretical Biology
ISSN: 0022-5193
URI: http://hdl.handle.net/10138/304285
Abstract: We investigate the evolution of timidity in a prey species whose predator has cannibalistic tendencies. The ecological model is derived from individual-level processes, in which the prey seeks refuge after detecting a predator, and the predator cannibalises on the conspecific juveniles. Bifurcation analysis of the model reveals ecological bistability between equilibrium and periodic attractors. Using the framework of adaptive dynamics, we classify ten qualitatively different evolutionary scenarios induced by the ecological bistability. These scenarios include ecological attractor switching through catastrophic bifurcations, which can reverse the direction of evolution. We show that such reversals often result in evolutionary cycling of the level of timidity. In the absence of cannibalism, the model never exhibits ecological bistability nor evolutionary cycling. We conclude that cannibalistic predator behaviour can completely change both the ecological dynamics and the evolution of prey. (C) 2019 The Authors. Published by Elsevier Ltd.
Subject: 1181 Ecology, evolutionary biology
Adaptive dynamics
Ecological bistability
Fold bifurcation of periodic orbits
Subcritical Hopf bifurcation
Supercritical Hopf bifurcation
PERCH PERCA-FLUVIATILIS
CATASTROPHIC SHIFTS
DYNAMICS
MODEL
BISTABILITY
EXTINCTION
GROWTH
SIZE
FOOD
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