Evidence map›Paper›PMID 32588119›Full record

ArticleJournal of mathematical biology2020

A two-thresholds policy for a Filippov model in combating influenza.

Can Chen, Pengde Wang, Litao Zhang

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Article in Journal of mathematical biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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1 · What the graph read from it

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4 · The record

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5 · Who and what money

Authors and funding

3 authors.

Can ChenSchool of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, 450046, China. canchen1989@yeah.net.
Pengde WangCollege of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450046, China.
Litao ZhangSchool of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, 450046, China.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

This work designs a two-thresholds policy for a Filippov model in combating influenza, so as to estimate when and whether to take control strategies, including the media coverage, antiviral treatment of infected individuals and vaccination of susceptible population. By introducing two tolerance thresholds [Formula: see text] and [Formula: see text] of susceptible and infected individuals, the two-thresholds policy is designed as: a vaccination program is implemented when the number of susceptible individuals is above [Formula: see text]; an antiviral treatment strategy is taken and the mass media begins to report information about influenza when the infection number is larger than [Formula: see text]; no control strategies are required in other cases. Furthermore, the global dynamics of the model are analyzed by varying these two thresholds, including the existence and dynamics of sliding mode, and the existence and global stability of equilibrium. It is shown that the model solutions ultimately converge to a pseudoequilibrium or a pseudoattractor on the switching surface, or a real equilibrium. The obtained results indicate that, by choosing susceptible and infected thresholds properly, the infection number can be remained below or at an acceptable level.

Indexed as

Influenza, HumanModels, BiologicalDisease SusceptibilityHumansPolicyVaccinationFilippov modelGlobal dynamicsInfluenzaSliding-mode dynamicsTwo-thresholds policy

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.