Bifurcation of nontrivial periodic solutions for a Beddington-DeAngelis interference model with impulsive biological control

Shuai Wang; Qingdao Huang

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Bifurcation of nontrivial periodic solutions for a Beddington-DeAngelis interference model with impulsive biological control

机译：具有脉冲生物控制的Beddington-DeAngelis干扰模型的非平凡周期解的分支

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摘要

In this paper, a Beddington-DeAngelis interference model with impulsive biological control is studied. The pest-free periodic solution is local asymptotically stable if the impulsive control rate is larger than a critical value or the release period is smaller than another critical value. Conditions for permanence of the model are established. The existence of nontrivial periodic solution is established when the pest-free periodic solution loses its stability.

机译：本文研究了具有脉冲生物控制的Beddington-DeAngelis干扰模型。如果脉冲控制率大于临界值或释放周期小于另一个临界值，则无病虫害周期解是局部渐近稳定的。建立模型永久性的条件。当无虫害定期溶液失去其稳定性时，便确定了非平凡周期溶液的存在。

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来源
《Applied Mathematical Modelling》 |2015年第6期|1470-1479|共10页
作者
Shuai Wang; Qingdao Huang;
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作者单位

College of Mathematics, Jilin University, Changchun 130012, China;

College of Mathematics, Jilin University, Changchun 130012, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Predator-pest model; Periodic releases; Permanence; Existence of nontrivial solution;

机译：捕食者-害虫模型;定期发布;永久性非平凡解的存在;

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Bifurcation of nontrivial periodic solutions for a Beddington-DeAngelis interference model with impulsive biological control

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