Injurious information propagation and its global stability considering activity and normalized recovering rate.

This paper establishes a compartment model describing the propagation of injurious information among a well-mixed population. We define the information's injuriousness as the people practicing the information being injured and leaving the system. Some informed people practice the information an...

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Autores principales:	Chaoqian Wang, Ziwei Wang, Qiuhui Pan
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/273bced563e54f6c91dade4145748822
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spelling	oai:doaj.org-article:273bced563e54f6c91dade41457488222021-12-02T20:16:29ZInjurious information propagation and its global stability considering activity and normalized recovering rate.1932-620310.1371/journal.pone.0258859https://doaj.org/article/273bced563e54f6c91dade41457488222021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0258859https://doaj.org/toc/1932-6203This paper establishes a compartment model describing the propagation of injurious information among a well-mixed population. We define the information's injuriousness as the people practicing the information being injured and leaving the system. Some informed people practice the information and are active, while others do not practice and are inactive. With the recovery resources fixed, the two groups of informed people's recovering rates are normalized considering the information features. The stability of the nonlinear system is thoroughly studied. Analyzing the reproduction number of the injurious information, we find that in general parameter space, when there are people in an informed compartment, it is not always necessary to consider their recovery resource allocation. Instead, only when their proportion reaches a critical point should it be allocated. Unless the people in an informed compartment form a certain proportion, we can take a laissez-faire attitude towards them. In a more realistic parameter space, once inactive informed people exist, they should be allocated recovery resources. On the one hand, when the recovering rate rises, the focus on both groups of informed people is necessary for more situations. On the other hand, when the rate of active informed people leaving the system rises, ignoring active informed people benefits removing the injurious information in more cases. The model provides qualitative ways in the scenarios of removing injurious information.Chaoqian WangZiwei WangQiuhui PanPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 10, p e0258859 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Chaoqian Wang Ziwei Wang Qiuhui Pan Injurious information propagation and its global stability considering activity and normalized recovering rate.
description	This paper establishes a compartment model describing the propagation of injurious information among a well-mixed population. We define the information's injuriousness as the people practicing the information being injured and leaving the system. Some informed people practice the information and are active, while others do not practice and are inactive. With the recovery resources fixed, the two groups of informed people's recovering rates are normalized considering the information features. The stability of the nonlinear system is thoroughly studied. Analyzing the reproduction number of the injurious information, we find that in general parameter space, when there are people in an informed compartment, it is not always necessary to consider their recovery resource allocation. Instead, only when their proportion reaches a critical point should it be allocated. Unless the people in an informed compartment form a certain proportion, we can take a laissez-faire attitude towards them. In a more realistic parameter space, once inactive informed people exist, they should be allocated recovery resources. On the one hand, when the recovering rate rises, the focus on both groups of informed people is necessary for more situations. On the other hand, when the rate of active informed people leaving the system rises, ignoring active informed people benefits removing the injurious information in more cases. The model provides qualitative ways in the scenarios of removing injurious information.
format	article
author	Chaoqian Wang Ziwei Wang Qiuhui Pan
author_facet	Chaoqian Wang Ziwei Wang Qiuhui Pan
author_sort	Chaoqian Wang
title	Injurious information propagation and its global stability considering activity and normalized recovering rate.
title_short	Injurious information propagation and its global stability considering activity and normalized recovering rate.
title_full	Injurious information propagation and its global stability considering activity and normalized recovering rate.
title_fullStr	Injurious information propagation and its global stability considering activity and normalized recovering rate.
title_full_unstemmed	Injurious information propagation and its global stability considering activity and normalized recovering rate.
title_sort	injurious information propagation and its global stability considering activity and normalized recovering rate.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/273bced563e54f6c91dade4145748822
work_keys_str_mv	AT chaoqianwang injuriousinformationpropagationanditsglobalstabilityconsideringactivityandnormalizedrecoveringrate AT ziweiwang injuriousinformationpropagationanditsglobalstabilityconsideringactivityandnormalizedrecoveringrate AT qiuhuipan injuriousinformationpropagationanditsglobalstabilityconsideringactivityandnormalizedrecoveringrate
_version_	1718374457328795648

Injurious information propagation and its global stability considering activity and normalized recovering rate.

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