Global stability in a viral infection model with lytic and nonlytic immune responses
K Wang, W Wang, X Liu - Computers & Mathematics with Applications, 2006 - Elsevier
… paper investigates the global stability of a viral infection model with lyric and nonlytic immune
… analyze the global stability of the disease steady state. First, we study the local stability of …
… analyze the global stability of the disease steady state. First, we study the local stability of …
[PDF][PDF] Global stability of HIV infection models with intracellular delays
A Elaiw, I Hassanien, S Azoz - Journal of the Korean Mathematical …, 2012 - researchgate.net
… with two target cells and investigated the global asymptotic stability of their steady … global
stability of two HIV infection models with two classes of target cells and delays. The first model …
stability of two HIV infection models with two classes of target cells and delays. The first model …
Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immune responses
H Shu, L Wang, J Watmough - SIAM Journal on Applied Mathematics, 2013 - SIAM
… no standard procedures for establishing global stability. The commonly used … global stability
results and find sufficient conditions under which oscillations are impossible for a viral model …
results and find sufficient conditions under which oscillations are impossible for a viral model …
Global stability of an HIV-1 infection model with saturation infection and intracellular delay
R Xu - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
… study the global stability of … global dynamics are resolved for SEIR and SIR models with
time delay, respectively. We first state and prove our result on the global stability of the infection-…
time delay, respectively. We first state and prove our result on the global stability of the infection-…
Lyapunov functions and global stability for age-structured HIV infection model
G Huang, X Liu, Y Takeuchi - SIAM Journal on Applied Mathematics, 2012 - SIAM
… These functions also achieved the global stability of a delay SIR (susceptible-infected-… aim
is to establish global asymptotic stability of the infection-free equilibrium E0 and the infected …
is to establish global asymptotic stability of the infection-free equilibrium E0 and the infected …
Global stability of infection‐free state and endemic infection state of a modified human immunodeficiency virus infection model
Q Sun, L Min, Y Kuang - IET systems biology, 2015 - Wiley Online Library
… infection model in [13], this paper considers a modified HIV infection model containing the
saturated infection … The basic reproductive number R 0 of the model is independent of plasma …
saturated infection … The basic reproductive number R 0 of the model is independent of plasma …
Global stability analysis of viral infection model with logistic growth rate, general incidence function and cellular immunity
TK Gharahasanlou, V Roomi… - … and Computers in …, 2022 - Elsevier
… infection models such as HIV, HBV, HCV, Ebola and Influenza. This paper deals with the global
dynamics of generalized virus model … We prove the global stability of the rest points of the …
dynamics of generalized virus model … We prove the global stability of the rest points of the …
Global stability for a virus dynamics model with nonlinear incidence of infection and removal
P Georgescu, YH Hsieh - SIAM Journal on Applied Mathematics, 2007 - SIAM
… our model, with no exposed class and extra linearity assumptions. However, the proof of our
global stability … In particular, our model does not admit orbitally asymptotically stable periodic …
global stability … In particular, our model does not admit orbitally asymptotically stable periodic …
Global stability for an HIV-1 infection model including an eclipse stage of infected cells
B Buonomo, C Vargas-De-León - Journal of Mathematical Analysis and …, 2012 - Elsevier
… stability of the infected equilibrium has been analyzed locally. Here, we perform the
global stability … direct method and the geometric approach to stability, based on the higher-order …
global stability … direct method and the geometric approach to stability, based on the higher-order …
Global stability for a delayed HIV-1 infection model with nonlinear incidence of infection
LM Cai, BZ Guo, XZ Li - Applied Mathematics and Computation, 2012 - Elsevier
… In this paper, a delayed HIV-1 infection model with nonlinear incidence of infection is …
of the system is globally asymptotically stable. Thus, the global dynamics of the system is …
of the system is globally asymptotically stable. Thus, the global dynamics of the system is …
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