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

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	KÜHNOVÁ Jitka PŘIBYLOVÁ Lenka
Year of publication	2011
Type	Article in Periodical
Magazine / Source	APPLIED MATHEMATICS AND INFORMATICS
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.sav.sk/journals/uploads/0127102402ku-pr.pdf
Doi	http://dx.doi.org/10.2478/v10127-011-0033-1
Field	General mathematics
Keywords	prey predator model; Allee effect; strategy evolution; bifurcation; Hawk Dove evolution
Description	In this work 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 Sanchez (2002) using the prey population embodying Allee effect 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, supercritical Hopf caused by Allee effect and Bogdanov-Takens) and a global bifurcation of limit cycles caused by the strategy evolution that is not possible in any of the submodels that can lead to a bluesky extinction of both populations.
Related projects:	Posílení a zkvalitnění tvůrčí činnosti studentů PřF v oborech matematika, fyzika a vědy o Zemi