Dynamics analysis of a delayed virus model with two different transmission methods and treatments
Shandong University of Science and Technology · North China Institute of Aerospace Engineering
Abstract
In this paper, a delayed virus model with two different transmission methods and treatments is investigated. This model is a time-delayed version of the model in (Zhang et al. in Comput. Math. Methods Med. 2015:758362, 2015). We show that the virus-free equilibrium is locally asymptotically stable if the basic reproduction number is smaller than one, and by regarding the time delay as a bifurcation parameter, the existence of local Hopf bifurcation is investigated. The results show that time delay can change the stability of the endemic equilibrium. Finally, we give some numerical simulations to illustrate the theoretical findings.
Citation impact
- FWCI
- 77.67
- Percentile
- 100%
- References
- 49
Authors
5- TZTongqian ZhangCorresponding
Shandong University of Science and Technology
- JWJunling Wang
Shandong University of Science and Technology
- YLYuqing Li
Shandong University of Science and Technology
- ZJZhichao Jiang
North China Institute of Aerospace Engineering
- XHXiaofeng Han
Shandong University of Science and Technology
Topics & keywords
- Dynamics (music)
- Ordinary differential equation
- Partial differential equation
- Transmission (telecommunications)
- Mathematics
- Virus
- Applied mathematics
- Virology