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Existence of positive periodic solution of a hepatitis B virus infection model

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成果类型:
期刊论文
作者:
Fang, Haiquan;Wang, Min;Zhou, Tiejun*
通讯作者:
Zhou, Tiejun
作者机构:
[Fang, Haiquan; Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
[Wang, Min] Hunan Agr Univ, Coll Orient Sci & Technol, Changsha 410128, Hunan, Peoples R China.
通讯机构:
[Zhou, Tiejun] H
Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
语种:
英文
关键词:
Viruses;Biological rhythm;Coincidence degree theory;Existence of positive periodic solutions;Hepatitis B virus infection;Periodic models;Periodic solution;Periodic variation;Positive periodic solution;Problem solving
期刊:
Mathematical Methods in the Applied Sciences
ISSN:
0170-4214
年:
2015
卷:
38
期:
1
页码:
188-196
基金类别:
Hunan Provincial Department of Finance [[2010]51]
机构署名:
本校为第一且通讯机构
院系归属:
理学院
东方科技学院
摘要:
In this paper, a periodic model for hepatitis B virus infection is proposed. The model describes the breeding of the infected cells and the periodic variation of the environment.On the basis of the continuation theoremof coincidence degree theory, a condition for the existence of a positive periodic solution to the model is established. The result can be used to explain thewave phenomenon on the density of the pathogens in patients blood and the occurrence of superinfection in hepatitis ...

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