Dynamical analysis for hybrid virus infection system in switching environment

doi:10.1088/1674-1056/ab8c3f

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.

Keywords: dynamical behavior hybrid virus infection system switching environment extinction

Received: 05 March 2020
Revised: 16 April 2020
Accepted manuscript online: 23 April 2020

PACS:	02.50.-r	(Probability theory, stochastic processes, and statistics)
	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)

Fund: 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).

Corresponding Authors: Dong-Xi Li
E-mail: dxli0426@126.com

Cite this article:

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

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