Dynamics model analysis of bacteriophage infection of bacteria

Abstract A bacteriophage (in short, phage) is a virus that can infect and replicate within bacteria. Assuming that uninfected and infected bacteria are capable of reproducing with logistic law, we investigate a model of bacteriophage infection that resembles simple SI-models widely used in epidemiol...

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Autores principales:	Xiaoping Li, Rong Huang, Minyuan He
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Bacteriophage Virus Stability Numerical simulation Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/a416e9aef0ea4fe78b73da6c04cdc3de
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spelling	oai:doaj.org-article:a416e9aef0ea4fe78b73da6c04cdc3de2021-11-14T12:10:28ZDynamics model analysis of bacteriophage infection of bacteria10.1186/s13662-021-03466-x1687-1847https://doaj.org/article/a416e9aef0ea4fe78b73da6c04cdc3de2021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03466-xhttps://doaj.org/toc/1687-1847Abstract A bacteriophage (in short, phage) is a virus that can infect and replicate within bacteria. Assuming that uninfected and infected bacteria are capable of reproducing with logistic law, we investigate a model of bacteriophage infection that resembles simple SI-models widely used in epidemiology. The dynamics of host-parasite co-extinctions may exhibit four scenarios: hosts and parasites go extinct, parasites go extinct, hosts go extinct, and hosts and parasites coexist. By using the Jacobian matrix and Bendixson–Dulac theory, local and global stability analysis of uninfected and infected steady states is provided; the basic reproduction number of the model is given; general results are supported by numerical simulations. We show that bacteriophages can reduce a host density. This provides a theoretical framework for studying the problem of whether phages can effectively prevent, control, and treat infectious diseases.Xiaoping LiRong HuangMinyuan HeSpringerOpenarticleBacteriophageVirusStabilityNumerical simulationMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Bacteriophage Virus Stability Numerical simulation Mathematics QA1-939
spellingShingle	Bacteriophage Virus Stability Numerical simulation Mathematics QA1-939 Xiaoping Li Rong Huang Minyuan He Dynamics model analysis of bacteriophage infection of bacteria
description	Abstract A bacteriophage (in short, phage) is a virus that can infect and replicate within bacteria. Assuming that uninfected and infected bacteria are capable of reproducing with logistic law, we investigate a model of bacteriophage infection that resembles simple SI-models widely used in epidemiology. The dynamics of host-parasite co-extinctions may exhibit four scenarios: hosts and parasites go extinct, parasites go extinct, hosts go extinct, and hosts and parasites coexist. By using the Jacobian matrix and Bendixson–Dulac theory, local and global stability analysis of uninfected and infected steady states is provided; the basic reproduction number of the model is given; general results are supported by numerical simulations. We show that bacteriophages can reduce a host density. This provides a theoretical framework for studying the problem of whether phages can effectively prevent, control, and treat infectious diseases.
format	article
author	Xiaoping Li Rong Huang Minyuan He
author_facet	Xiaoping Li Rong Huang Minyuan He
author_sort	Xiaoping Li
title	Dynamics model analysis of bacteriophage infection of bacteria
title_short	Dynamics model analysis of bacteriophage infection of bacteria
title_full	Dynamics model analysis of bacteriophage infection of bacteria
title_fullStr	Dynamics model analysis of bacteriophage infection of bacteria
title_full_unstemmed	Dynamics model analysis of bacteriophage infection of bacteria
title_sort	dynamics model analysis of bacteriophage infection of bacteria
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/a416e9aef0ea4fe78b73da6c04cdc3de
work_keys_str_mv	AT xiaopingli dynamicsmodelanalysisofbacteriophageinfectionofbacteria AT ronghuang dynamicsmodelanalysisofbacteriophageinfectionofbacteria AT minyuanhe dynamicsmodelanalysisofbacteriophageinfectionofbacteria
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Dynamics model analysis of bacteriophage infection of bacteria

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