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

DOI

10.2991/icaita-18.2018.28How to use a DOI?

Keywords

virus model; time delay; stability; Hopf bifurcation; uniform bounded

Abstract

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 behavior. 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.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Ziping Han
AU  - Hui Lv
AU  - Changjun Zhou
AU  - Qiang Zhang
PY  - 2018/03
DA  - 2018/03
TI  - Stability and Hopf Bifurcation Analysis of a Viral Dynamic Model with Time Delay
BT  - Proceedings of the 2018 2nd International Conference on Artificial Intelligence: Technologies and Applications (ICAITA 2018)
PB  - Atlantis Press
SP  - 111
EP  - 114
SN  - 1951-6851
UR  - https://doi.org/10.2991/icaita-18.2018.28
DO  - 10.2991/icaita-18.2018.28
ID  - Han2018/03
ER  -