Numerical modeling of fractional‐order biological systems
FA Rihan - Abstract and applied analysis, 2013 - Wiley Online Library
We provide a class of fractional‐order differential models of biological systems with memory,
such as dynamics of tumor‐immune system and dynamics of HIV infection of CD4+ T cells …
such as dynamics of tumor‐immune system and dynamics of HIV infection of CD4+ T cells …
Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions
Y Yang, L Zou, S Ruan - Mathematical biosciences, 2015 - Elsevier
A within-host viral infection model with both virus-to-cell and cell-to-cell transmissions and
three distributed delays is investigated, in which the first distributed delay describes the …
three distributed delays is investigated, in which the first distributed delay describes the …
The review of differential equation models of HBV infection dynamics
M Li, J Zu - Journal of virological methods, 2019 - Elsevier
Understanding the infection and pathogenesis mechanism of hepatitis B virus (HBV) is very
important for the prevention and treatment of hepatitis B. Mathematical models contribute to …
important for the prevention and treatment of hepatitis B. Mathematical models contribute to …
[HTML][HTML] Global analysis of within-host SARS-CoV-2/HIV coinfection model with latency
Abstract The coronavirus disease 2019 (COVID-19) is a respiratory disease caused by a
virus called the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). In this …
virus called the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). In this …
Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
The goal of this paper is to study the threshold dynamics of an HIV-1 viral infection model
with cell-mediated immune responses and direct cell-to-cell transmission mechanism. The …
with cell-mediated immune responses and direct cell-to-cell transmission mechanism. The …
[HTML][HTML] Stability analysis in delayed within-host viral dynamics with both viral and cellular infections
We consider a within-host viral model by incorporating (i) mitosis of the healthy target cells
which is described by the logistic term;(ii) two routes of infection via, respectively, binding of …
which is described by the logistic term;(ii) two routes of infection via, respectively, binding of …
Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity
T Wang, Z Hu, F Liao, W Ma - Mathematics and Computers in Simulation, 2013 - Elsevier
In this paper, we investigate the dynamical behavior of a virus infection model with general
incidence rate and humoral immunity. By using suitable Lyapunov functional and the …
incidence rate and humoral immunity. By using suitable Lyapunov functional and the …
[HTML][HTML] Stability and Hopf bifurcation for a virus infection model with delayed humoral immunity response
T Wang, Z Hu, F Liao - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
In this paper, we investigate the dynamical behavior of a virus infection model with delayed
humoral immunity. By using suitable Lyapunov functional and the LaSalleʼs invariance …
humoral immunity. By using suitable Lyapunov functional and the LaSalleʼs invariance …
Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays
In this paper, we investigate the dynamics of a five-dimensional virus model with immune
responses and an intracellular delay which describes the interactions of the HIV virus, CD4 …
responses and an intracellular delay which describes the interactions of the HIV virus, CD4 …
Stability analysis of within‐host SARS‐CoV‐2/HIV coinfection model
The world has been suffering from the coronavirus disease 2019 (COVID‐19) since late
2019. COVID‐19 is caused by a virus called the severe acute respiratory syndrome …
2019. COVID‐19 is caused by a virus called the severe acute respiratory syndrome …