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@proceedings{900630,
author = {Kühnová, Jitka and Přibylová, Lenka},
keywords = {Predator-prey model; hawk and dove tactics; ODE; Allee effect; mathematical model; bifurcation.},
language = {eng},
title = {A PREDATOR-PREY MODEL WITH ALLEE EFFECT AND FAST STRATEGY EVOLUTION DYNAMICS OF PREDATORS USING HAWK AND DOVE TACTICS},
url = {http://www.sm.u-bordeaux2.fr/CMPD3/index.html},
year = {2010}
}
TY - CONF
ID - 900630
AU - Kühnová, Jitka - Přibylová, Lenka
PY - 2010
TI - A PREDATOR-PREY MODEL WITH ALLEE EFFECT AND FAST STRATEGY EVOLUTION DYNAMICS OF PREDATORS USING HAWK AND DOVE TACTICS
KW - Predator-prey model
KW - hawk and dove tactics
KW - ODE
KW - Allee effect
KW - mathematical model
KW - bifurcation.
UR - http://www.sm.u-bordeaux2.fr/CMPD3/index.html
N2 - In this contribution we present the predator-prey model with Allee effect and hawk and dove tactics in fighting over caught prey implemented as fast strategy evolution dynamics. We extend the work of Auger, Parra, Morand and Sánchez (2002) using the prey population embodying Allee efect and analogously to this work we get two connected submodels with polymorphic and monomorphic predator population. We get much richer dynamics, in each submodel we find local bifurcations (saddle-node and Hopf caused by Allee effect) and a global bifurcation of limit cycles caused by the strategy evolution that is not possible in any of the submodels.
ER -
KÜHNOVÁ, Jitka and Lenka PŘIBYLOVÁ. \textit{A PREDATOR-PREY MODEL WITH ALLEE EFFECT AND FAST STRATEGY EVOLUTION DYNAMICS OF PREDATORS USING HAWK AND DOVE TACTICS}. 2010.
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