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Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
http://hdl.handle.net/10297/5648
http://hdl.handle.net/10297/564800f8c305-016f-418e-ba7f-e854667b01bc
名前 / ファイル | ライセンス | アクション |
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110520001.pdf (149.0 kB)
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Item type | 学術雑誌論文 / Journal Article_01(1) | |||||||||
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公開日 | 2011-05-22 | |||||||||
タイトル | ||||||||||
言語 | en | |||||||||
タイトル | Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
資源タイプ | ||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
資源タイプ | journal article | |||||||||
著者 |
Huang, Gang
× Huang, Gang× Ma, Wanbiao
WEKO
1840
× Takeuchi, Yasuhiro
WEKO
2415
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書誌情報 |
Applied Mathematics Letters 巻 24, 号 7, p. 1199-1203, 発行日 2011-07 |
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出版者 | ||||||||||
出版者 | Elsevier | |||||||||
権利情報 | ||||||||||
権利情報 | (c) 2011 Elsevier Ltd. All rights reserved. | |||||||||
NDC | ||||||||||
主題Scheme | NDC | |||||||||
主題 | 501 | |||||||||
抄録 | ||||||||||
内容記述タイプ | Abstract | |||||||||
内容記述 | A class of virus dynamics model with intracellular delay and nonlinear infection rate of Beddington-DeAngelis functional response is analysed in this paper. By constructing suitable Lyapunov functionals and using LaSalle-type theorem for delay differential equations, we show that the global stability of the infection-free equilibrium and the infected equilibrium depends on the basic reproductive ratio R-0, that is, the former is globally stable if R-0 <= 1 and so is the latter if R-0 > 1. Our results extend the known results on delay virus dynamics considered in the other papers and suggest useful methods to control virus infection. | |||||||||
ISSN | ||||||||||
収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 08939659 | |||||||||
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収録物識別子タイプ | NCID | |||||||||
収録物識別子 | AA1066807X | |||||||||
出版者DOI | ||||||||||
関連タイプ | isVersionOf | |||||||||
識別子タイプ | DOI | |||||||||
関連識別子 | 10.1016/j.aml.2011.02.007 | |||||||||
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内容記述タイプ | Other | |||||||||
内容記述 | application/pdf | |||||||||
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出版タイプ | AM | |||||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||
出版者版 | ||||||||||
関連タイプ | isVersionOf | |||||||||
識別子タイプ | URI | |||||||||
関連識別子 | https://doi.org/10.1016/j.aml.2011.02.007 |