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高校应用数学学报
Applied Mathematics A Journal of Chinese Universities  2016, Vol. 31 Issue (2): 161-166    DOI:
    
Global stability of a diffusive virus dynamics model with Beddington-DeAngelis incidence function
YANG Yu, ZHOU Jin-ling
School of Science and Technology, Zhejiang International Studies University, Hangzhou, 310012, China
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Abstract  A diffusive virus dynamics model with Beddington-DeAngelis incidence function is investigated. By constructing Lyapunov function, it is shown that the infection equilibrium is globally asymptotically stable.

Key words： virus model      diffusion      Lyapunov function      global stability     
Received: 10 August 2015      Published: 17 May 2018
CLC:  O175  
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YANG Yu
ZHOU Jin-ling
Cite this article:

YANG Yu, ZHOU Jin-ling. Global stability of a diffusive virus dynamics model with Beddington-DeAngelis incidence function. Applied Mathematics A Journal of Chinese Universities, 2016, 31(2): 161-166.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2016/V31/I2/161


一类具有扩散和Beddington-DeAngelis反应函数的病毒模型的全局稳定性

研究了一类具有扩散和Beddington-DeAngelis反应函数的病毒模型. 通过构造Lyapunov函数, 证明了模型的感染平衡点是全局渐近稳定的.

关键词： 病毒模型,  扩散,  Lyapunov函数,  全局稳定性 
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