AN SIRS MODEL WITH DIFFERENTIAL SUSCEPTIBILITY AND INFECTIVITY ON UNCORRELATED NETWORKS

被引：6

作者：

Liu, Maoxing ^{[1
]}

Chen, Yuming ^{[2
,3
]}

机构：

[1] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

[2] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Shanxi, Peoples R China

[3] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2015年 / 12卷 / 03期

基金：

加拿大自然科学与工程研究理事会; 中国国家自然科学基金;

关键词：

Sexually transmitted infection; uncorrelated network; spreading threshold; permanence; SCALE-FREE NETWORKS; EPIDEMIC MODELS; COMPLEX NETWORKS; SEXUAL CONTACTS; STABILITY; DYNAMICS; SPREAD;

D O I：

10.3934/mbe.2015.12.415

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We propose and study a model for sexually transmitted infections on uncorrelated networks, where both differential susceptibility and infectivity are considered. We first establish the spreading threshold, which. exists even in the infinite networks. Moreover, it is possible to have backward bifurcation. Then for bounded hard cutoff networks, the stability of the disease free equilibrium and the permanence of infection are analyzed. Finally, the effects of two immunization strategies are compared. It turns out that generally, the targeted immunization is better than the proportional immunization.

引用

页码：415 / 429

页数：15

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