Global dynamics of virus infection model with antibody immune response and distributed delays

AM Elaiw, A Alhejelan… - Discrete Dynamics in …, 2013 - Wiley Online Library
Global Stability In this section, we prove the global stability of the steady states of system (2)–(5)
employing the method of Lyapunov functional which is used in [32] for SIR epidemic …

Global stability and hopf bifurcation for a virus dynamics model with general incidence rate and delayed ctl immune response

AS Ndongo - Applied Mathematics, 2021 - research.send4journal.com
… rate and delayed CTL immune response. The model admits three possi- … In this section, we
study the global stability of the infection-… In this section, we study the global stability of the CTL-…

Global dynamics of a delayed HIV‐1 infection model with CTL immune response

Y Li, R Xu, Z Li, S Mao - Discrete Dynamics in Nature and …, 2011 - Wiley Online Library
… In Section 3, by means of suitable Lyapunov functionals and LaSalle′s invariant principle,
we discuss the global stability of the infection-free equilibrium, the CTL-inactivated infection …

Global properties of a model of immune effector responses to viral infections

X Wang, X Song - Advances in Complex Systems, 2007 - World Scientific
… , the immunefree equilibrium E0 is globally asymptotically stable. The equilibrium E1 exists
and is globally asymptotically stale if the CTL immune response … that immune responses can …

Global properties for a virus dynamics model with lytic and non-lytic immune responses, and nonlinear immune attack rates

C Vargas-De-Leon - Journal of Biological Systems, 2014 - World Scientific
… 8 gave a complete global analysis of system (1.2), and constructed Volterra-type Lyapunov
functions for the global stability analysis. We will analyze the global stability of the equilibria …

Global dynamics of humoral and cellular immune responses to virus infection

M Cerón-Gómez, HM Yang - Universitas Scientiarum, 2019 - revistas.javeriana.edu.co
… the global stability of a model of virus dynamics with consideration of humoral and cellular
immune responses. … to obtain sufficient conditions for the global stability of virus-free and virus…

Immune response to a malaria infection: properties of a mathematical model

P De Leenheer, SS Pilyugin - Journal of biological dynamics, 2008 - Taylor & Francis
… We provide criteria for global stability, competitive exclusion and persistence. We also
demonstrate that the disease equilibrium can be destabilized by non-symmetric cross-reactive …

Stability analysis of pathogen-immune interaction dynamics

A Murase, T Sasaki, T Kajiwara - Journal of Mathematical Biology, 2005 - Springer
Immune response against pathogens In this section, we consider immune response against
… We note that the stability shown here is not global but local. We hence can not regorously …

Global Stability of HIV Infection of CD4+ T Cells and Macrophages with CTL Immune Response and Distributed Delays

AM Elaiw, RM Abukwaik… - … mathematical methods in …, 2013 - Wiley Online Library
global stability of a human immunodeficiency virus (HIV) infection model with Cytotoxic T
Lymphocytes (CTL) immune response. … have established that the global stability of the model is …

Global stability of a five-dimensional model with immune responsesand delay

Y Yan, W Wang - Discrete and Continuous Dynamical Systems-B, 2011 - aimsciences.org
… In this article, we study a virus model with immune responses … By constructing suitable
Liapunov functionals, the global … CTL immune response $R_1$, for antibody immune response $…