Dynamical analysis of a nonlocal delayed and diffusive HIV latent infection model with spatial heterogeneity

2021 ◽  
Author(s):  
Peng Wu ◽  
Hongyong Zhao
Keyword(s):  
Spatial Heterogeneity ◽  
Latent Infection ◽  
Dynamical Analysis ◽  
Infection Model

scholarly journals Dynamical Analysis of a Viral Infection Model with Delays in Computer Networks

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Zizhen Zhang ◽  
Huizhong Yang
Keyword(s):  
Hopf Bifurcation ◽  
Propagation Model ◽  
Dynamical Analysis ◽  
Infection Model ◽  
Virus Propagation ◽  
Normal Form Theory ◽  
Center Manifold Theorem ◽  
Form Theory ◽  
Two Delays ◽  
The Stability

This paper is devoted to the study of an SIRS computer virus propagation model with two delays and multistate antivirus measures. We demonstrate that the system loses its stability and a Hopf bifurcation occurs when the delay passes through the corresponding critical value by choosing the possible combination of the two delays as the bifurcation parameter. Moreover, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are determined by means of the center manifold theorem and the normal form theory. Finally, some numerical simulations are performed to illustrate the obtained results.

scholarly journals RLIM: a recursive and latent infection model for the prediction of US COVID-19 infections and turning points

2021 ◽  
Author(s):  
Xiang Yu ◽  
Lihua Lu ◽  
Jianyi Shen ◽  
Jiandun Li ◽  
Wei Xiao ◽  
...  
Keyword(s):  
Latent Infection ◽  
Turning Points ◽  
Infection Model

Dynamical analysis of antigen-driven T-cell infection model with multiple delays

2019 ◽  
Vol 354 ◽  
pp. 266-281 ◽  
Author(s):  
M. Prakash ◽  
R. Rakkiyappan ◽  
A. Manivannan ◽  
Jinde Cao
Keyword(s):  
T Cell ◽  
Dynamical Analysis ◽  
Infection Model ◽  
Multiple Delays ◽  
Cell Infection

scholarly journals A Stochastic HIV Infection Model with Latent Infection and Antiretroviral Therapy

2018 ◽  
Vol 2018 ◽  
pp. 1-14
Author(s):  
Jun Liu ◽  
Yan Wang ◽  
Luju Liu ◽  
Tingting Zhao
Keyword(s):  
Hiv Infection ◽  
Stationary Distribution ◽  
Latent Infection ◽  
Infection Process ◽  
Infection Model ◽  
Rigorous Analysis ◽  
Combination Drug ◽  
Large Intensity ◽  
Hiv Infection Model ◽  
White Noises

Recent studies have demonstrated that the latent infection is a major obstacle to the viral elimination in HIV infection process. In this paper, we formulate a stochastic HIV infection model to include both latent infection and combination drug therapies. We derive that the model solution is unique and positive, and the solution is global. By constructing appropriate stochastic Lyapunov functions, the existence of an ergodic stationary distribution is obtained when the critical condition is greater than one. Furthermore, through rigorous analysis and deduction, the extinction of the virus is established under certain conditions. Numerical simulations are performed to show that small intensity of white noises can maintain the existence of a stationary distribution, while large intensity of white noises is beneficial to the extinction of the virus.

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