Global stability of models of humoral immunity against multiple viral strains

T Inoue, T Kajiwara, T Sasaki - Journal of Biological Dynamics, 2010 - Taylor & Francis
We analyse, from a mathematical point of view, the global stability of equilibria for models
describing the interaction between infectious agents and humoral immunity. We consider the …

A chronic viral infection model with immune impairment

Z Wang, X Liu - Journal of Theoretical Biology, 2007 - Elsevier
In this paper, a chronic viral infection model with cell-mediated immunity and immune
impairment is proposed and studied, under the assumption that the presence of the antigen …

Global asymptotic stability of equilibria in models for virus dynamics

J Prüss, R Zacher, R Schnaubelt - Mathematical Modelling of Natural …, 2008 - cambridge.org
In this paper several models in virus dynamics with and without immune response are
discussed concerning asymptotic behaviour. The case of immobile cells but diffusing viruses …

A simple model of pathogen–immune dynamics including specific and non-specific immunity

A Pugliese, A Gandolfi - Mathematical biosciences, 2008 - Elsevier
We present and analyze a model for the dynamics of the interactions between a pathogen
and its host's immune response. The model consists of two differential equations, one for …

Analysis of a vaccine model with cross-immunity: when can two competing infectious strains coexist?

I Dorigatti, A Pugliese - Mathematical Biosciences, 2011 - Elsevier
We analyse here the vaccine model with cross-immunity proposed by Porco and Blower [1].
Porco and Blower [1] show that vaccination can shift the competitive balance in favour of a …

Stability analysis of pathogen-immune interaction dynamics

A Murase, T Sasaki, T Kajiwara - Journal of Mathematical Biology, 2005 - Springer
The paper considers models of dynamics of infectious disease in vivo from the standpoint of
the mathematical analysis of stability. The models describe the interaction of the target cells …

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
We consider a mathematical model that describes a viral infection with lytic and non-lytic
immune responses. One of the main features of the model is that it includes a rate of linear …

Modeling and research on an immuno-epidemiological coupled system with coinfection

XZ Li, S Gao, YK Fu, M Martcheva - Bulletin of mathematical biology, 2021 - Springer
In this paper, a two-strain model with coinfection that links immunological and
epidemiological dynamics across scales is formulated. On the with-in host scale, the two …

The influence of different forms of cross-protective immunity on the population dynamics of antigenically diverse pathogens

N Ferguson, V Andreasen - Mathematical approaches for emerging and …, 2002 - Springer
We develop simple epidemic models of co-circulating strains of an infectious disease in
which the strains interact immunologically via cross-protective acquired immune responses …

Some basic properties of immune selection

Y Iwasa, F Michor, M Nowak - Journal of theoretical biology, 2004 - Elsevier
We analyze models for the evolutionary dynamics of viral or other infectious agents within a
host. We study how the invasion of a new strain affects the composition and diversity of the …