Stability and Hopf Bifurcation Analysis of a Viral Dynamic Model with Time Delay

Ziping Han, Hui Lv, Changjun Zhou, Qiang Zhang
2018 Proceedings of the 2018 2nd International Conference on Artificial Intelligence: Technologies and Applications (ICAITA 2018)   unpublished
In this paper, a new virus nonlinear dynamic model with time delay is proposed. Moreover, its stability, Hopf bifurcation and other dynamical behavior like chaos are studied. It is indicated that if the reproductive ratio is less than one, the infection-free equilibrium is partially asymptotically stable. Analytical and pictorial results show that if the reproductive ratio is greater than one, the combined effect of the reproductive ratio and the time delay is to create a rich dynamical
more » ... . Observing and analyzing the process from periodic oscillations to chaos can explain the different pathological feature of patients under different treatment stages. Finally, a simulation example is given to illustrate the correctness and assistance of the study on the virus dynamics research.
doi:10.2991/icaita-18.2018.28 fatcat:zjzvnl5lgrdwdf4viz2mjcr7ua