Global dynamics of humoral and cellular immune responses to virus infection

We study the global stability of a model of virus dynamics with consideration of humoral and cellular immune responses. We use a Lyapunov direct method to obtain sufficient conditions for the global s tability of virus-free and viruspresence equilibriums. First, we analyze the model without an imm...

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Autor principal:	Miller Cerón-Gómez, Hyun Mo Yang
Formato:	article
Lenguaje:	EN ES
Publicado:	Pontificia Universidad Javeriana 2019
Materias:	global stability; immune response; lyapunov direct method. Science (General) Q1-390
Acceso en línea:	https://doaj.org/article/bfb64f36eb974980a297591624bd079f
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spelling	oai:doaj.org-article:bfb64f36eb974980a297591624bd079f2021-11-16T15:39:12ZGlobal dynamics of humoral and cellular immune responses to virus infection10.11144/Javeriana.SC24-2.gdoh0122-74832027-1352https://doaj.org/article/bfb64f36eb974980a297591624bd079f2019-08-01T00:00:00Zhttps://revistas.javeriana.edu.co/index.php/scientarium/article/view/23601https://doaj.org/toc/0122-7483https://doaj.org/toc/2027-1352We study the global stability of a model of virus dynamics with consideration of humoral and cellular immune responses. We use a Lyapunov direct method to obtain sufficient conditions for the global s tability of virus-free and viruspresence equilibriums. First, we analyze the model without an immune response and found that if the reproductive number of the virus is less than or equal to one, the virus-free equilibrium is globally asymptotically stable. However, for the virus-presence equilibrium, global stability is obtained if the virus entrance rate into the target cells is less than one. We analyze the model with humoral and cellular immune responses and found similar results. The difference is that in the reproductive number of the virus and in the virus entrance rate into the target cells appear parameters of humoral and cellular immune responses, which means that the adaptive immune response will cease or control the rise of the infectionWe study the global stability of a model of virus dynamics with consideration of humoral and cellular immune responses. We use a Lyapunov direct method to obtain sufficient conditions for the global s tability of virus-free and viruspresence equilibriums. First, we analyze the model without an immune response and found that if the reproductive number of the virus is less than or equal to one, the virus-free equilibrium is globally asymptotically stable. However, for the virus-presence equilibrium, global stability is obtained if the virus entrance rate into the target cells is less than one. We analyze the model with humoral and cellular immune responses and found similar results. The difference is that in the reproductive number of the virus and in the virus entrance rate into the target cells appear parameters of humoral and cellular immune responses, which means that the adaptive immune response will cease or control the rise of the infection.Miller Cerón-Gómez, Hyun Mo YangPontificia Universidad Javerianaarticleglobal stability; immune response; lyapunov direct method.Science (General)Q1-390ENESUniversitas Scientiarum, Vol 24, Iss 1, Pp 407-423 (2019)
institution	DOAJ
collection	DOAJ
language	EN ES
topic	global stability; immune response; lyapunov direct method. Science (General) Q1-390
spellingShingle	global stability; immune response; lyapunov direct method. Science (General) Q1-390 Miller Cerón-Gómez, Hyun Mo Yang Global dynamics of humoral and cellular immune responses to virus infection
description	We study the global stability of a model of virus dynamics with consideration of humoral and cellular immune responses. We use a Lyapunov direct method to obtain sufficient conditions for the global s tability of virus-free and viruspresence equilibriums. First, we analyze the model without an immune response and found that if the reproductive number of the virus is less than or equal to one, the virus-free equilibrium is globally asymptotically stable. However, for the virus-presence equilibrium, global stability is obtained if the virus entrance rate into the target cells is less than one. We analyze the model with humoral and cellular immune responses and found similar results. The difference is that in the reproductive number of the virus and in the virus entrance rate into the target cells appear parameters of humoral and cellular immune responses, which means that the adaptive immune response will cease or control the rise of the infectionWe study the global stability of a model of virus dynamics with consideration of humoral and cellular immune responses. We use a Lyapunov direct method to obtain sufficient conditions for the global s tability of virus-free and viruspresence equilibriums. First, we analyze the model without an immune response and found that if the reproductive number of the virus is less than or equal to one, the virus-free equilibrium is globally asymptotically stable. However, for the virus-presence equilibrium, global stability is obtained if the virus entrance rate into the target cells is less than one. We analyze the model with humoral and cellular immune responses and found similar results. The difference is that in the reproductive number of the virus and in the virus entrance rate into the target cells appear parameters of humoral and cellular immune responses, which means that the adaptive immune response will cease or control the rise of the infection.
format	article
author	Miller Cerón-Gómez, Hyun Mo Yang
author_facet	Miller Cerón-Gómez, Hyun Mo Yang
author_sort	Miller Cerón-Gómez, Hyun Mo Yang
title	Global dynamics of humoral and cellular immune responses to virus infection
title_short	Global dynamics of humoral and cellular immune responses to virus infection
title_full	Global dynamics of humoral and cellular immune responses to virus infection
title_fullStr	Global dynamics of humoral and cellular immune responses to virus infection
title_full_unstemmed	Global dynamics of humoral and cellular immune responses to virus infection
title_sort	global dynamics of humoral and cellular immune responses to virus infection
publisher	Pontificia Universidad Javeriana
publishDate	2019
url	https://doaj.org/article/bfb64f36eb974980a297591624bd079f
work_keys_str_mv	AT millercerongomezhyunmoyang globaldynamicsofhumoralandcellularimmuneresponsestovirusinfection
_version_	1718426325014806528

Global dynamics of humoral and cellular immune responses to virus infection

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