KÜHNOVÁ, Jitka and Lenka PŘIBYLOVÁ. A PREDATOR-PREY MODEL WITH ALLEE EFFECT AND FAST STRATEGY EVOLUTION DYNAMICS OF PREDATORS USING HAWK AND DOVE TACTICS. APPLIED MATHEMATICS AND INFORMATICS. Bratislava, Slovensko: Matematický ústav Slovenská akadémia vie, 2011, vol. 50, No 2011, p. 13-24. ISSN 1210-3195. Available from: https://dx.doi.org/10.2478/v10127-011-0033-1. |
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@article{974425, author = {Kühnová, Jitka and Přibylová, Lenka}, article_location = {Bratislava, Slovensko}, article_number = {2011}, doi = {http://dx.doi.org/10.2478/v10127-011-0033-1}, keywords = {prey predator model; Allee effect; strategy evolution; bifurcation; Hawk Dove evolution}, language = {eng}, issn = {1210-3195}, journal = {APPLIED MATHEMATICS AND INFORMATICS}, title = {A PREDATOR-PREY MODEL WITH ALLEE EFFECT AND FAST STRATEGY EVOLUTION DYNAMICS OF PREDATORS USING HAWK AND DOVE TACTICS}, url = {http://www.sav.sk/journals/uploads/0127102402ku-pr.pdf}, volume = {50}, year = {2011} }
TY - JOUR ID - 974425 AU - Kühnová, Jitka - Přibylová, Lenka PY - 2011 TI - A PREDATOR-PREY MODEL WITH ALLEE EFFECT AND FAST STRATEGY EVOLUTION DYNAMICS OF PREDATORS USING HAWK AND DOVE TACTICS JF - APPLIED MATHEMATICS AND INFORMATICS VL - 50 IS - 2011 SP - 13-24 EP - 13-24 PB - Matematický ústav Slovenská akadémia vie SN - 12103195 KW - prey predator model KW - Allee effect KW - strategy evolution KW - bifurcation KW - Hawk Dove evolution UR - http://www.sav.sk/journals/uploads/0127102402ku-pr.pdf L2 - http://www.sav.sk/journals/uploads/0127102402ku-pr.pdf N2 - 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. ER -
KÜHNOVÁ, Jitka and Lenka PŘIBYLOVÁ. A PREDATOR-PREY MODEL WITH ALLEE EFFECT AND FAST STRATEGY EVOLUTION DYNAMICS OF PREDATORS USING HAWK AND DOVE TACTICS. \textit{APPLIED MATHEMATICS AND INFORMATICS}. Bratislava, Slovensko: Matematický ústav Slovenská akadémia vie, 2011, vol.~50, No~2011, p.~13-24. ISSN~1210-3195. Available from: https://dx.doi.org/10.2478/v10127-011-0033-1.
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