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.
Related projects:	Jaroslav Hájek Center for Theoretical and Applied Statistics