A PREDATOR-PREY MODEL WITH ALLEE EFFECT AND FAST STRATEGY EVOLUTION DYNAMICS OF PREDATORS USING HAWK AND DOVE TACTICS

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Authors

KÜHNOVÁ Jitka PŘIBYLOVÁ Lenka

Year of publication 2010
Type Appeared in Conference without Proceedings
MU Faculty or unit

Faculty of Science

Citation
Description 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.
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