The Asymptotic Behavior of a Delayed Stage-structured Model with a Disease in the Infant

机译：婴幼儿疾病的延迟阶段结构模型的渐近行为

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In this paper, a delayed stage-structured single-species model with a disease in the infant is studied. By using the comparison principle in differential equations, we get the sufficient conditions for the global stability of the trivial equilibrium and boundary equilibrium. By constructing Liapunov function, we prove that the endemic equilibrium is not always globally stable and then a semistable limit cycle may exist.

机译：本文研究了一种带有婴儿疾病的延迟阶段结构的单物种模型。通过在微分方程中使用比较原理，我们获得了微不足道平衡和边界平衡的全局稳定性的充分条件。通过构造Liapunov函数，我们证明地方均衡并不总是全局稳定的，然后可能存在一个半稳定的极限环。

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来源
《The World Advances in ELID-Grinding Technologies: Trends on High Efficiency and Essential Processing》|2008年|476-481|共6页
会议地点 Changsha(CN)
作者
Li Zhang; rnBruce Wylie; rnLei Ji; rnTagir Gilmanov; rnLarry L.Tieszen;
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作者单位

Ruiqing Shi@Dept. Of Appl. Math., Dalian Univ. Of Technol. , Dalian, Liaoning 116024;

School of Math. And Comput. Sci.,Shanxi Normal Univ.,Linfen,Shanxi 041004--Lansun Chen@Dept. of Appl. math., Dalian Univ. of Technol. , Dalian, Liaoning 116024--;

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中图分类 TTB30;
关键词
stage-structured; delay; epidemic; equilibrium;

机译：阶段结构的；延迟;流行性;平衡;

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4. The Asymptotic Behavior of a Delayed Stage-structured Model with a Disease in the Infant [C] . Chengzhang Yu, Wenze Fu, Wenzhong He, Conference of Biomathematics . 2008

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The Asymptotic Behavior of a Delayed Stage-structured Model with a Disease in the Infant

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