Global stability analysis of oseltamivir-resistant influenza virus model

被引：9
作者：
Kaymakamzade, Bilgen [1 ]
Baba, Isa Abdullahi [1 ]
Hincal, Evren [1 ]
机构：
[1] Near East Univ, Dept Math, POB 99138, North Cyprus 10, Mersin, Turkey
来源：
12TH INTERNATIONAL CONFERENCE ON APPLICATION OF FUZZY SYSTEMS AND SOFT COMPUTING, ICAFS 2016 | 2016年 / 102卷
关键词：
Oseltamivir; nalidixic acid; dorzolomide; h1n1 influenza virus; next generation matrix; lyapunov function; basic reproduction ratio;
D O I：
10.1016/j.procs.2016.09.409
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We study a new model describing the dynamics of both Oseltamivir resistant and non-resistant Influenza virus. Incorporated in the model is oseltamivir drug for the non-resistant strain and nalidixic acid or dorzolomide drugs for the resistant strain. The basic reproduction ratios R-0 are determined using the next generation matrix. The local and global asymptotic stability of the disease free equilibrium are determined and shown to only exist if R01 <= 1 and R02 <= 1. Local and global asymptotic stability of the endemic equilibria exist if R01>1 and R02>1. Lyapunov function was used to show the global stabilities. (C) 2016 The Authors. Published by Elsevier B.V.
引用
收藏
页码：333 / 341
页数：9
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