In this work we present the predator{prey model with Allee effect and Hawk and Dovetactics in fighting over caught prey implemented as fast strategy evolution dynamics. Weextend the work of Auger, Parra, Morand and Sánchez (2002) using the prey populationembodying Allee effect and analogously to this work we get two connected submodels withpolymorphic and monomorphic predator population. We get much richer dynamics, ineach submodel we nd local bifurcations (saddle-node, supercritical Hopf caused by Alleeeffect and Bogdanov{Takens) and a global bifurcation of limit cycles caused by the strategyevolution that is not possible in any of the submodels that can lead to a bluesky extinctionof both populations.
@article{133,
title = {A predator{prey model with Allee effect and fast strategy evolution dynamics of predators using Hawk and Dove tactics},
journal = {Tatra Mountains Mathematical Publications},
volume = {49},
year = {2011},
doi = {10.2478/tatra.v50i3.133},
language = {EN},
url = {http://dml.mathdoc.fr/item/133}
}
Kühnová, Jitka; Přibylová, Lenka. A predator{prey model with Allee effect and fast strategy evolution dynamics of predators using Hawk and Dove tactics. Tatra Mountains Mathematical Publications, Tome 49 (2011) . doi : 10.2478/tatra.v50i3.133. http://gdmltest.u-ga.fr/item/133/