Dynamical analysis for hybrid virus infection system in switching environment

doi:10.1088/1674-1056/ab8c3f

中国物理B ›› 2020, Vol. 29 ›› Issue (9): 90201-090201.doi: 10.1088/1674-1056/ab8c3f

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Dynamical analysis for hybrid virus infection system in switching environment

Dong-Xi Li(李东喜), Ni Zhang(张妮)

1 College of Data Science, Taiyuan University of Technology, Taiyuan 030024, China;
2 College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

收稿日期:2020-03-05 修回日期:2020-04-16 接受日期:2020-04-23 出版日期:2020-09-05 发布日期:2020-09-05
通讯作者: Dong-Xi Li E-mail:dxli0426@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11571009) and the Applied Basic Research Programs of Shanxi Province of China (Grant No. 201901D111086).

Dynamical analysis for hybrid virus infection system in switching environment

Dong-Xi Li(李东喜)¹, Ni Zhang(张妮)²

1 College of Data Science, Taiyuan University of Technology, Taiyuan 030024, China;
2 College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

Received:2020-03-05 Revised:2020-04-16 Accepted:2020-04-23 Online:2020-09-05 Published:2020-09-05
Contact: Dong-Xi Li E-mail:dxli0426@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11571009) and the Applied Basic Research Programs of Shanxi Province of China (Grant No. 201901D111086).

摘要/Abstract

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.

关键词: dynamical behavior, hybrid virus infection system, switching environment, extinction

Abstract: 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.

Key words: dynamical behavior, hybrid virus infection system, switching environment, extinction

中图分类号: (Probability theory, stochastic processes, and statistics)

02.50.-r

05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)

李东喜, 张妮. Dynamical analysis for hybrid virus infection system in switching environment[J]. 中国物理B, 2020, 29(9): 90201-090201.

Dong-Xi Li(李东喜), Ni Zhang(张妮). Dynamical analysis for hybrid virus infection system in switching environment[J]. Chin. Phys. B, 2020, 29(9): 90201-090201.

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Dynamical analysis for hybrid virus infection system in switching environment

Dynamical analysis for hybrid virus infection system in switching environment

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