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<dc:title xml:lang="pl"><![CDATA[Stability and hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays]]></dc:title>
<dc:creator><![CDATA[Xu, Changjin]]></dc:creator>
<dc:creator><![CDATA[Liao, Maoxin]]></dc:creator>
<dc:creator><![CDATA[He, Xiaofei]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[predator-prey model]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[delay]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[stability]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Hopf bifurcation]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[In this paper, a two-species Lotka?Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, the linear stability of the positive equilibrium is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and direction of Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical simulations for supporting the theoretical results are also included.]]></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[2011]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/46901/AMCS_2011_21_1_7.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/54999/edition/46901/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:46901]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, Volume 21, Number 1 (2011)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=paper&paper=537]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:54999]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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