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Global stability for a tuberculosis model with isolation and incomplete treatment

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成果类型:
期刊论文
作者:
Zhang, Jinhui*;Feng, Guangting
通讯作者:
Zhang, Jinhui
作者机构:
[Zhang, Jinhui] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Feng, Guangting] Hubei Univ Educ, Sch Math & Stat, Wuhan 430205, Peoples R China.
通讯机构:
[Zhang, Jinhui] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Basic reproductive number;Generalized Dulac–Bendixson criterion;Global stability
期刊:
Computational and Applied Mathematics
ISSN:
2238-3603
年:
2015
卷:
34
期:
3
页码:
1237-1249
基金类别:
Natural Science Foundation of Hubei Province, ChinaNatural Science Foundation of Hubei Province [2013CFB013]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
This paper deals with the global analysis of a dynamical model for the spread of tuberculosis with isolation and incomplete treatment. The model exhibits the traditional threshold behavior. We prove that when the basic reproductive number is less than unity, the disease-free equilibrium is globally asymptotically stable. When the basic reproductive number is greater than unity, the disease-free equilibrium is unstable and a unique endemic equilibrium exists which is locally asymptotically stable and globally asymptotically stable when the disea...

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