Stability analysis and persistence of a phage therapy model

This study deals with a phage therapy model involving nonlinear interactions of the bacteria–phage–innate immune response. The main aim of this work is to analytically and numerically examine the dynamic behavior of the phage therapy model. First, we investigate the positivity and boundedness of the...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Ei Ei Kyaw, Hongchan Zheng, Jingjing Wang, Htoo Kyaw Hlaing
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	phage therapy model persistence extinction stability lyapunov functional Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/f7c79ff4b1b046cebff23f11a809a761
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:f7c79ff4b1b046cebff23f11a809a761
record_format	dspace
spelling	oai:doaj.org-article:f7c79ff4b1b046cebff23f11a809a7612021-11-09T02:23:13ZStability analysis and persistence of a phage therapy model10.3934/mbe.20212801551-0018https://doaj.org/article/f7c79ff4b1b046cebff23f11a809a7612021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021280?viewType=HTMLhttps://doaj.org/toc/1551-0018This study deals with a phage therapy model involving nonlinear interactions of the bacteria–phage–innate immune response. The main aim of this work is to analytically and numerically examine the dynamic behavior of the phage therapy model. First, we investigate the positivity and boundedness of the system. Second, we analyze the existence and local asymptotic stability of different equilibrium solutions. Third, we investigate the global stability for equilibrium without immune system and equilibrium without phages, and coexistence equilibrium by means of the Bendixson–Dulac criterion and the Lyapunov functional method, respectively. Furthermore, we discuss the persistence and nonpersistence of the system under some conditions. Finally, we perform numerical simulations to substantiate the results obtained in this research.Ei Ei KyawHongchan ZhengJingjing WangHtoo Kyaw HlaingAIMS Pressarticlephage therapy modelpersistenceextinctionstabilitylyapunov functionalBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5552-5572 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	phage therapy model persistence extinction stability lyapunov functional Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	phage therapy model persistence extinction stability lyapunov functional Biotechnology TP248.13-248.65 Mathematics QA1-939 Ei Ei Kyaw Hongchan Zheng Jingjing Wang Htoo Kyaw Hlaing Stability analysis and persistence of a phage therapy model
description	This study deals with a phage therapy model involving nonlinear interactions of the bacteria–phage–innate immune response. The main aim of this work is to analytically and numerically examine the dynamic behavior of the phage therapy model. First, we investigate the positivity and boundedness of the system. Second, we analyze the existence and local asymptotic stability of different equilibrium solutions. Third, we investigate the global stability for equilibrium without immune system and equilibrium without phages, and coexistence equilibrium by means of the Bendixson–Dulac criterion and the Lyapunov functional method, respectively. Furthermore, we discuss the persistence and nonpersistence of the system under some conditions. Finally, we perform numerical simulations to substantiate the results obtained in this research.
format	article
author	Ei Ei Kyaw Hongchan Zheng Jingjing Wang Htoo Kyaw Hlaing
author_facet	Ei Ei Kyaw Hongchan Zheng Jingjing Wang Htoo Kyaw Hlaing
author_sort	Ei Ei Kyaw
title	Stability analysis and persistence of a phage therapy model
title_short	Stability analysis and persistence of a phage therapy model
title_full	Stability analysis and persistence of a phage therapy model
title_fullStr	Stability analysis and persistence of a phage therapy model
title_full_unstemmed	Stability analysis and persistence of a phage therapy model
title_sort	stability analysis and persistence of a phage therapy model
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/f7c79ff4b1b046cebff23f11a809a761
work_keys_str_mv	AT eieikyaw stabilityanalysisandpersistenceofaphagetherapymodel AT hongchanzheng stabilityanalysisandpersistenceofaphagetherapymodel AT jingjingwang stabilityanalysisandpersistenceofaphagetherapymodel AT htookyawhlaing stabilityanalysisandpersistenceofaphagetherapymodel
_version_	1718441441708998656

Stability analysis and persistence of a phage therapy model

Ejemplares similares