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

被引：0

作者：

Shi, Ruiqing ^{[1
]}

Chen, Lansun ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R China

来源：

PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS | 2008年

关键词：

stage-structured; delay; epidemic; equilibrium;

D O I：

暂无

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：476 / 481

页数：6

共 6 条

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[2] A TIME-DELAY MODEL OF SINGLE-SPECIES GROWTH WITH STAGE STRUCTURE
AIELLO, WG
FREEDMAN, HI
[J]. MATHEMATICAL BIOSCIENCES, 1990, 101 (02) : 139 - 153
[3] SHI RQ, DELAYED STA IN PRESS
[4] Optimal harvesting and stability for a two-species competitive system with stage structure
Song, XY
Chen, LS
[J]. MATHEMATICAL BIOSCIENCES, 2001, 170 (02) : 173 - 186
[5] Xiao Y. N., 2002, ACTA MATH APPL SIN, V18, P607
[6] Xiao Yanni, 2003, Journal of Systems Science and Complexity, V16, P275

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