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
… analyze the global stability of the disease steady state. First, we study the local stability of …
Now, we study the influence of the different immune responses. In the absence of the efficacy …

[PDF][PDF] Global stability analysis of a generalized virus dynamics model with the immune response

K Hattaf, N Yousfi, A Tridane - Canadian Applied Mathematics …, 2012 - researchgate.net
global stability of a generalized model of a viral dynamic that includes the adaptive immune
response, … We show that the global stability of this model, using the Lyapunov function, is not …

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
… Unlike local stability, which can be analyzed by studying the … procedures for establishing
global stability. The commonly used … In this paper, we aim to establish global stability results and …

Global stability for a class of virus models with cytotoxic T lymphocyte immune response and antigenic variation

MO Souza, JP Zubelli - Bulletin of mathematical biology, 2011 - Springer
global stability of a class of models for in-vivo virus dynamics that take into account the
Cytotoxic T Lymphocyte immune response … in this class are globally asymptotically stable, under …

Global stability of a virus dynamics model with intracellular delay and CTL immune response

X Li, S Fu - Mathematical Methods in the Applied Sciences, 2015 - Wiley Online Library
global stability of a virus dynamics model with intracellular delay, Crowley–Martin functional
response of the infection rate, and CTL immune response … principle, the global dynamics is …

[HTML][HTML] Global stability of in-host viral models with humoral immunity and intracellular delays

S Wang, D Zou - Applied Mathematical Modelling, 2012 - Elsevier
… The adaptive immune response is mediated by lymphocytes expressing antigen specific …
and cellular immunity. The humoral immunity is more effective than the cell-mediated immune in …

Global stability of models of humoral immunity against multiple viral strains

T Inoue, T Kajiwara, T Sasaki - Journal of Biological Dynamics, 2010 - Taylor & Francis
global stability of equilibria for models describing the interaction between infectious agents
and humoral immunity. … extinct, die at a rate u and are killed by immune response at a rate pz. …

[PDF][PDF] Global stability analysis of virus dynamics models with linear immune response

C Vargas-De-León, L Esteva - Eureka, 2013 - researchgate.net
… functions, we have established the global stability of the steady state of two models that
include latent infected cells, a linear immune response and a generalized immune attack term. …

Global stability analysis of humoral immunity virus dynamics model including latently infected cells

AM Elaiw - Journal of biological dynamics, 2015 - Taylor & Francis
… In [Citation9], both the humoral immune response and the latently … immune response taking
into consideration both latently and actively infected cells and investigate its basic and global

Global stability of a virus dynamics model with Beddington–DeAngelis incidence rate and CTL immune response

X Wang, Y Tao, X Song - Nonlinear Dynamics, 2011 - Springer
global stability of virus dynamics model with Beddington–DeAngelis infection rate and CTL
immune response … We derive the basic reproduction number R0 and the immune response re…