In: Tatra Mountains Mathematical Publications, vol. 50, no. 3
Jitka Kühnová - Lenka Přibylová
Detaily:
Rok, strany: 2011, 13 - 24
Kľúčové slová:
prey-predator model, Allee effect, strategy evolution, bifurcation, Hawk-Dove evolution
O článku:
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 Sánchez (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
Ako citovať:
ISO 690:
Kühnová, J., Přibylová, L. 2011. A predator-prey model with Allee effect and fast strategy evolution dynamics of predators using Hawk and Dove tactics. In Tatra Mountains Mathematical Publications, vol. 50, no.3, pp. 13-24. 1210-3195.
APA:
Kühnová, J., Přibylová, L. (2011). A predator-prey model with Allee effect and fast strategy evolution dynamics of predators using Hawk and Dove tactics. Tatra Mountains Mathematical Publications, 50(3), 13-24. 1210-3195.