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<dc:title xml:lang="pl"><![CDATA[Bifurcation and control for a discrete-time prey-predator model with Holling-IV functional response]]></dc:title>
<dc:creator><![CDATA[Chen, Qiaoling]]></dc:creator>
<dc:creator><![CDATA[Teng, Zhidong]]></dc:creator>
<dc:creator><![CDATA[Hu, Zengyun]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[discrete prey?predator model]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[flip bifurcation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Hopf bifurcation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[saddle-node bifurcation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[OGY chaotic control]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[The dynamics of a discrete-time predator?prey model with Holling-IV functional response are investigated. It is shown that the model undergoes a flip bifurcation, a Hopf bifurcation and a saddle-node bifurcation by using the center manifold theorem and bifurcation theory.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[Numerical simulations not only exhibit our results with the theoretical analysis, but also show the complex dynamical behaviors, such as the period-3, 6, 9, 12, 20, 63, 70, 112 orbits, a cascade of period-doubling bifurcations in period-2, 4, 8, 16, quasi-periodic orbits, an attracting invariant circle, an inverse period-doubling bifurcation from the period-32 orbit leading to chaos and a boundary crisis, a sudden onset of chaos and a sudden disappearance of the chaotic dynamics, attracting chaotic sets and non-attracting sets.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[We also observe that when the prey is in chaotic dynamics the predator can tend to extinction or to a stable equilibrium. Specifically, we stabilize the chaotic orbits at an unstable fixed point by using OGY chaotic control.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2013]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/78824/AMCS_2013_23_2_1.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/88618/edition/78824/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:78824]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 23, number 2 (2013)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=53]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:88618]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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