STABILITY ANALYSIS OF A TWO-STRAIN EPIDEMIC MODEL ON COMPLEX NETWORKS WITH LATENCY

被引：5
|
作者：
Yang, Junyuan [1 ,2 ,3 ]
Chen, Yuming [4 ]
Liu, Jiming [5 ]
机构：
[1] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
[2] Shanxi Univ, Dept Math, Taiyuan 030006, Shanxi, Peoples R China
[3] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Shanxi, Peoples R China
[4] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
[5] Hongkong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 08期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Drug-sensitive strain; drug-resistant strain; complex network; stability; SCALE-FREE NETWORKS; GLOBAL ANALYSIS; TUBERCULOSIS; PERSISTENCE; DYNAMICS;
D O I：
10.3934/dcdsb.2016076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a two-strain epidemic model on a complex network is proposed. The two strains are the drug-sensitive strain and the drug-resistant strain. The related basic reproduction numbers R-s and R-r are obtained. If R-0 = max{R-s, R-r} < 1, then the disease-free equilibrium is globally asymptotically stable. If R-r > 1, then there is a unique drug-resistant strain dominated equilibrium E-r, which is locally asymptotically stable if the invasion reproduction number R-r(s) < 1. If R-s > 1 and R-s > R-r, then there is a unique coexistence equilibrium E*. The persistence of the model is also proved. The theoretical results are supported with numerical simulations.
引用
收藏
页码：2851 / 2866
页数：16
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