Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting

Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting
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具有庇护和持续收获的比率相关 Holling-Tanner 系统的分叉

DOI:
10.1155/2013/478315
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发表时间:
2013-03
影响因子:
--
通讯作者:
Xing, Yepeng
Xing, Yepeng
中科院分区:
--
文献类型:
--
作者:
Liu, Xia;Xing, Yepeng

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研究了具有庇护和持续收获的捕食者猎物系统的分叉特性。由于避难和收获,平衡点的数量和系统的性质会发生变化,从而导致多种分岔现象的出现,例如鞍结分岔、Bogdanov-Takens分岔、Hopf分岔、后向分岔、连接鞍结点和鞍结分岔的分界线以及异宿 分叉等等。我们的主要结果揭示了与没有避难所和收获的系统相比,该系统的动态更加丰富。
The bifurcation properties of a predator prey system with refuge and constant harvesting are investigated. The number of the equilibria and the properties of the system will change due to refuge and harvesting, which leads to the occurrence of several kinds bifurcation phenomena, for example, the saddle-node bifurcation, Bogdanov-Takens bifurcation, Hopf bifurcation, backward bifurcation, separatrix connecting a saddle-node and a saddle bifurcation and heteroclinic bifurcation, and so forth. Our main results reveal much richer dynamics of the system compared to the system with no refuge and harvesting.
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