一类具有常数免疫输入的病毒-免疫应答动力学模型分析  

Analysis of a class of virus-immune response dynamic model with constant immune input

作　　者：李亚男 王晓琴 李建全 LI Ya-nan;WANG Xiao-qin;LI Jian-quan(School of Arts and Sciences,Shaanxi University of Science ＆ Technology,Xi＇an 710021,China)

机构地区：[1]陕西科技大学文理学院,陕西西安710021

出　　处：《陕西科技大学学报》2018年第6期176-182,共7页Journal of Shaanxi University of Science & Technology

基　　金：国家自然科学基金项目(11371369)

摘　　要：在假设病毒以饱和形式刺激免疫应答的基础上,将免疫细胞的常数输入引入病毒-免疫应答模型.此模型平衡点的存在性和稳定性得到了完整的分析.其全局稳定性是通过构造恰当的Lyapunov函数证得.并发现免疫存在时的病毒内禀增长率决定模型的动力学性态.也就各免疫因素对病毒持续的影响进行了讨论,同时用数值模拟验证了所得的理论结果.Based on the assumption that the virus stimulates the immune response in a satu rated form, the constant input of the immune cell is incorporated into the virus immune re sponse model. The existence and stability of equilibria of the model are completely analyzed. Their global stabilities are proved by constructing the appropriate Lyapunov functions. Our results show that the dynamics of the model is determined by the intrinsic growth rate of the virus in the presence of immunity. The effect of various immune factors on the persistence of virus is also discussed. The theoretic results obtained are verified by means of numerical siulation.

关 键 词：病毒感染 免疫应答 平衡点 稳定性 

分 类 号：O175.12[理学—数学]