Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy

J Deng, H Shu, L Wang, XS Wang - Journal of Mathematical Biology, 2023 - Springer
distribution of delays between cell encounters and subsequent recruitment. The rate of CTLs
… two infection modes, CTL immune response and distributed delays can be described by the …

[PDF][PDF] Global stability of an HIV infection model with saturated CTL immune response and intracellular delay

J Ren, R Xu, L Li - Math. Biosci. Eng, 2021 - aimspress.com
… rate, intracellular delay and saturated cytotoxic T lymphocyte (CTL) immune response. By …
By analyzing the distribution of roots of the corresponding characteristic equations, we study …

Mathematical analysis of a delayed HIV infection model with saturated CTL immune response and immune impairment

Y Yang, R Xu - Journal of Applied Mathematics and Computing, 2022 - Springer
… In this paper, we develop an HIV infection model with intracellular delay, Beddington–DeAngelis
incidence rate, saturated CTL immune response and immune impairment. We begin …

A delayed virus infection model with cell-to-cell transmission and CTL immune response

Y Yang, T Zhang, Y Xu, J Zhou - International Journal of Bifurcation …, 2017 - World Scientific
… and CTL immune response is investigated. In the model, time delay is incorporated into the
CTL response. By … Our results show that time delay in the CTL response process may lead to …

[HTML][HTML] Global stability of a diffusive and delayed virus dynamics model with Crowley-Martin incidence function and CTL immune response

C Kang, H Miao, X Chen, J Xu, D Huang - Advances in Difference …, 2017 - Springer
… In this paper, we propose a delayed virus infection model with diffusion, CTL immune
responses and Crowley-Martin incidence rate. We have showed the global asymptotic stability of …

A delayed diffusive HBV model with nonlinear incidence and CTL immune response

B Li, F Zhang, X Wang - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
… and delayed hepatitis B virus (HBV) infection model, which incorporates both virus‐to‐cell
and cell‐to‐cell transmissions along with cytotoxic T lymphocyte (CTL) immune response. …

[HTML][HTML] Global stability of a diffusive and delayed virus dynamics model with Beddington–DeAngelis incidence function and CTL immune response

Y Yang, Y Xu - Computers & Mathematics with Applications, 2016 - Elsevier
… few works on diffusive virus dynamics model with time delay and CTL immune response. …
cells, free virus and the magnitude of the CTLs response at position x and at time t , respectively…

Distributed runtime verification by past-ctl and the field calculus

G Audrito, F Damiani, V Stolz, G Torta… - Journal of Systems and …, 2022 - Elsevier
… to distributed runtime monitoring for space-based networks of devices. We introduce the
past-CTL … , from a past-CTL formula, monitors that can be distributed on each device and whose …

Periodic solutions of a periodic stochastic human immunodeficiency virus model with distributed delay and cytotoxic T lymphocytes immune response

Y Hou, P Shi - Mathematical Methods in the Applied Sciences, 2020 - Wiley Online Library
… In this paper, a periodic stochastic human immunodeficiency virus (HIV) model with distributed
delay and cytotoxic T lymphocytes (CTL) immune response is investigated. First, by It ô 's …

Dynamics of a delayed cytokine-enhanced diffusive HIV model with a general incidence and CTL immune response

C Chen, Z Ye, Y Zhou, Z Zheng - The European Physical Journal Plus, 2023 - Springer
… , cytokine-enhanced viral infection, CTL immune response and time delay. Our results show
that inflammatory cytokine infection, time delay and reaction-diffusion play an important role …