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@inproceedings{1169091, author = {Přibylová, Lenka}, address = {Brno}, booktitle = {Mathematical Models and Financial Mathematics Book of short papers}, edition = {2014}, editor = {Jiří Zelinka, Martin Řezáč}, keywords = {population stability; functional response; predator-prey model; hysteresis; Hopf bifurcation}, howpublished = {tištěná verze "print"}, language = {eng}, location = {Brno}, isbn = {978-80-210-6648-9}, pages = {59-70}, publisher = {Masaryk University}, title = {PREDATOR-PREY MODEL WITH PREDATOR INTERFERENCE}, year = {2014} }
TY - JOUR ID - 1169091 AU - Přibylová, Lenka PY - 2014 TI - PREDATOR-PREY MODEL WITH PREDATOR INTERFERENCE PB - Masaryk University CY - Brno SN - 9788021066489 KW - population stability KW - functional response KW - predator-prey model KW - hysteresis KW - Hopf bifurcation N2 - Rosenzweig-MacArthur-like predator-prey model with predator interference is studied. Predator interference as a decline in the per predator consumption rate as predator density increases is generally thought to promote predator-prey stability. Indeed, this has been demonstrated in many theoretical studies on predator-prey dynamics. In virtually all of these studies, the stabilization role is demonstrated as a weakening of the paradox of enrichment. With predator interference, stable limit cycles that appear as a result of environmental enrichment occur for higher values of the environmental carrying capacity of prey, and even a complete absence of the limit cycles can happen. By means of a bifurcation analysis it can be shown that sufficiently strong redator interference may bring about another stabilizing mechanism. In particular, hysteresis combined with (dis)appearance of stable limit cycles imply the presence of abrupt increases in both prey and predator densities and enhanced persistence and resilience of the predator-prey system. ER -
PŘIBYLOVÁ, Lenka. PREDATOR-PREY MODEL WITH PREDATOR INTERFERENCE. In Jiří Zelinka, Martin Řezáč. \textit{Mathematical Models and Financial Mathematics Book of short papers}. 2014. vyd. Brno: Masaryk University, 2014, s.~59-70. ISBN~978-80-210-6648-9.
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