Dynamical analysis for hybrid virus infection system in switching environment

作     者：Dong-Xi Li Ni Zhang 李东喜;张妮

作者机构：College of Data ScienceTaiyuan University of TechnologyTaiyuan 030024China College of MathematicsTaiyuan University of TechnologyTaiyuan 030024China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2020年第29卷第9期

页      面：186-193页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 1004[医学-公共卫生与预防医学(可授医学、理学学位)] 07[理学] 100401[医学-流行病与卫生统计学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 10[医学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11571009) the Applied Basic Research Programs of Shanxi Province of China(Grant No.201901D111086) 

主　　题：dynamical behavior hybrid virus infection system switching environment extinction 

摘      要：We investigate the dynamical behavior of hybrid virus infection systems with nonlytic immune response in switching environment, which is modeled as a stochastic process of telegraph noise and represented as a multi-state Markov chains. Firstly, The existence of unique positive solution and boundedness of the new hybrid system is proved. Furthermore, the sufficient conditions for extinction and persistence of virus are established. Finally, stochastic simulations are performed to test and demonstrate the conclusions. As a consequence, our work suggests that stochastic switching environment plays a crucial role in the process of virus prevention and treatment.