On the Computation of R(o) and Its Role on Global Stability

On the Computation of R(o) and Its Role on Global Stability
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DOI:
10.1007/978-1-4757-3667-0_13
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发表时间:
2001-02
期刊:
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影响因子:
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通讯作者:
C. Castillo-Chavez;Zhilan Feng;Wenzhang Huang
C. Castillo-Chavez;Zhilan Feng;Wenzhang Huang
中科院分区:
其他
文献类型:
--
作者:
C. Castillo-Chavez;Zhilan Feng;Wenzhang Huang

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在本文中,我们概述了第二代运营商开发的Diekmann和合作者的基本再生数,R 0的计算方法。这种方法的使用说明流行病模型,主要是由作者开发的,将不同程度的主机和病原体的异质性。最后,澄清Ro之间的连接和它的关系的无病平衡的全局渐近稳定性的条件进行了讨论。
In this paper we outline the second generation operator approach developed by Diekmann and collaborators for the computation of the basic reproductive number, R 0. The use of this method is illustrated on epidemic models, mostly developed by the authors, that incorporate various degree of host and pathogen heterogeneity. Finally, conditions that clarify the connections between Ro and its relationship to the global asymptotic stability of the disease-free equilibrium are discussed.