GLOBAL STABILITY FOR A TWO-STRAIN VIRUS INFECTION MODEL WITH INTRA-CELLULAR DELAY AND IMMUNE RESPONSE

• 作者: Lingling Liu Peipei Shang Zhaohui Yuan
• 来源期刊: 微分方程年刊：英文版
• 学科: 农学
• 关键词: 数学模型 病毒感染 免疫反应 细胞内 整体稳定 延迟 LYAPUNOV泛函 双株
• 年，卷（期）: 2014,（1）
• 页码范围: 85-96
• 页数: 12页
• 分类号: S858.28

摘要

Considering the immune response and intracellular delay,we propose a two-strain virus model and investigate dynamics of this mathematical model.The global dynamics of the model are completely determined by introducing suitable Lyapunov functionals.We show that if the basic reproduction number is less than one,then both strains die out;but when the number is greater than one,at least one of the strains become endemic depending on the parameter values.The theoretical results provide some useful information on the dynamics of the two strains virus.