The global stability of a class of infectious disease model for the disease free equilibrium

doi:10.3785/j.issn.1008-9497.2014.04.006

Journal of ZheJIang University(Science Edition)

2014, Vol. 41

Issue (4): 391-398 DOI: 10.3785/j.issn.1008-9497.2014.04.006

The global stability of a class of infectious disease model for the disease free equilibrium

Download:

HTML ( )

PDF(1777KB)
Export: BibTeX | EndNote (RIS)

Received: 10 July 2013 Published: 01 April 2014

	Service
	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	XIA Libiao

Cite this article:

XIA Libiao. The global stability of a class of infectious disease model for the disease free equilibrium. Journal of ZheJIang University(Science Edition), 2014, 41(4): 391-398.

URL:

https://www.zjujournals.com/sci/10.3785/j.issn.1008-9497.2014.04.006 OR https://www.zjujournals.com/sci/Y2014/V41/I4/391

一类传染病模型无病平衡点的全局稳定性

过去的半个多世纪，传染病模型在数学生态学领域已受广泛重视.研究了一个具时滞和扩散的传染病模型，重点讨论了该模型解的定性性质和稳态解的渐近行为；利用线性化和特征值方法讨论了正稳态解的局部稳定性，通过构造单调迭代序列，给出了正稳态解的全局稳定性. 最后给出了数值模拟和讨论，当接触率充分小时，问题的无病平衡点是全局渐近稳定的.

No related articles found!

Viewed

Full text

Abstract

Cited

Shared

Discussed