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DYNAMICS OF A DELAY DIFFERENTIAL EQUATION MODEL OF PHAGE GROWTH IN TWO-STAGE CHEMOSTAT

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成果类型:
期刊论文
作者:
Zhu, Huiyan*;Luo, Yang
通讯作者:
Zhu, Huiyan
作者机构:
[Zhu, Huiyan] Univ S China, Coll Math Phys, Hengyang 421001, Hunan, Peoples R China.
[Luo, Yang] Univ S China, Coll Comp Sci & Technol, Hengyang 421001, Hunan, Peoples R China.
通讯机构:
[Zhu, Huiyan] U
Univ S China, Coll Math Phys, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
Dynamics;delay differential equation;stability;phage;two-stage chemostat
期刊:
QUARTERLY OF APPLIED MATHEMATICS
ISSN:
0033-569X
年:
2012
卷:
70
期:
2
页码:
299-310
基金类别:
Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [11JJ9001]; Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11071060]; Hunan Provincial Science AMP; Technology Department [2010GK3013]
机构署名:
本校为第一且通讯机构
院系归属:
计算机科学与技术学院
数理学院
摘要:
In this paper, we consider a mathematical model for phage growth in a two-stage chemostat, taking account of the delay from infection to lysis. We give sufficient conditions for the globally asymptotic stability of noninfected equilibrium and obtain sufficient conditions for the local stability of infected equilibrium. We also perform some numerical simulations which illustrate the theoretical results obtained. The formula for R0 shows that decreasing the delay and/or increasing the burst size will inc...

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