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.
作者
李东喜
张妮
Dong-Xi Li;Ni Zhang(College of Data Science,Taiyuan University of Technology,Taiyuan 030024,China;College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China)
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).