Global dynamics of a delayed HTLV-I infection model with Beddington-DeAngelis incidence and immune impairment

X Jia, R Xu - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, we investigate a delayed HTLV-I infection model with Beddington-DeAngelis
incidence, CTL immune response and immune impairment. In the model, the intracellular …

A mathematical model of HTLV-I infection with two time delays

X Lu, L Hui, S Liu, J Li - Mathematical Biosciences & Engineering, 2014 - aimsciences.org
In this paper, we include two time delays in a mathematical model for the CD8+ cytotoxic T
lymphocytes (CTLs) response to the Human T-cell leukaemia virus type I (HTLV-I) infection …

Analyzing global stability of a viral model with general incidence rate and cytotoxic T lymphocytes immune response

H Yang, J Wei - Nonlinear Dynamics, 2015 - Springer
The global dynamics of a viral model with general incidence rate and CTL immune response
is investigated. We derive the basic reproduction number for viral infection R_ 0 R 0 and the …

[PDF][PDF] Stability analysis of general delayed HTLV-I dynamics model with mitosis and CTL immunity

AM Elaiw, AS Shflot, AD Hobiny - Math. Biosci. Eng, 2022 - aimspress.com
This paper formulates and analyzes a general delayed mathematical model which describe
the within-host dynamics of Human T-cell lymphotropic virus class I (HTLV-I) under the effect …

[HTML][HTML] Stability and bifurcation analysis in a viral infection model with delays

X Sun, J Wei - Advances in Difference Equations, 2015 - Springer
In this paper, a class of virus infection models with CTLs response is considered. We
incorporate an immune delay and two intracellular delays into the virus infection model. It is …

Mathematical analysis of human viral infection models

ASA Shflot - 2023 - platform.almanhal.com
Abstract The coronavirus disease 2019 (COVID-19) has caused fatal consequences in
people with underlying illnesses. Severe acute respiratory syndrome coronavirus 2 (SARS …

具logistic 增长的HTLV-I 模型稳定性分析.

高亚男, 胡新利, 杨高艳 - Basic Sciences Journal of Textile …, 2017 - search.ebscohost.com
建立一个具有logistic 增长的HTLV-I 传染模型, 并研究模型的动力学性态.
得到病毒感染再生数尺. 和CTL 免疫再生数. 通过构造Lyapunov 函数, 证明了: 当尺.< 1 …

Dynamics of an infection model with two delays

X Sun, J Wei - International Journal of Biomathematics, 2015 - World Scientific
In this paper, a HTLV-I infection model with two delays is considered. It is found that the
dynamics of this model are determined by two threshold parameters R0 and R1, basic …

[HTML][HTML] Global existence of periodic solutions in an infection model

X Sun, J Wei - Applied Mathematics Letters, 2015 - Elsevier
Global existence of periodic solutions in an infection model - ScienceDirect Skip to main
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Turing instability and traveling fronts for a reaction-diffusion model with cross-diffusion in plasmas.

L Heyang, P Yahong - Basic Sciences Journal of Textile …, 2017 - search.ebscohost.com
The model of turbulence shear flow interaction has been widely studied in the magnet ically
confined plasmas? and an important problem is to understand how Turing pattern forms …