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Existence of positive periodic solution of a hepatitis B virus infection model |
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| Authors: | Haiquan Fang Min Wang Tiejun Zhou |
| Institution: | 1. College of Science, Hunan Agricultural University, Changsha, Hunan, 410128 China;2. College of Orient Science and Technology, Hunan Agricultural University, Changsha, Hunan, 410128 China;3. College of Science, Hunan Agricultural University, Changsha, Hunan, 410128 China
Correspondence to: Tiejun Zhou, College of Science, Hunan Agricultural University, Changsha, Hunan 410128, China. E-mail: hntjzhou@126.com |
| Abstract: | 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 theorem of 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 the wave phenomenon on the density of the pathogens in patients blood and the occurrence of superinfection in hepatitis B virus infections. Copyright © 2014 John Wiley & Sons, Ltd. |
| Keywords: | periodic solution biological rhythms hepatitis B virus infection coincidence degree theory |