Evidence map›Paper›PMID 28115980›Full record

ArticleComputational and mathematical methods in medicine2016

Global Stability of Delayed Viral Infection Models with Nonlinear Antibody and CTL Immune Responses and General Incidence Rate.

Hui Miao, Zhidong Teng, Zhiming Li

Abstract read
In one paragraph

Article in Computational and mathematical methods in medicine, 2016. 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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3 · Its place in the literature

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4 · The record

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5 · Who and what money

Authors and funding

3 authors.

Hui MiaoCollege of Mathematics and System Sciences, Xinjiang University, Xinjiang, Urumqi 830046, China.ORCID 0000-0003-3309-697X
Zhidong TengCollege of Mathematics and System Sciences, Xinjiang University, Xinjiang, Urumqi 830046, China.ORCID 0000-0002-4285-3277
Zhiming LiCollege of Mathematics and System Sciences, Xinjiang University, Xinjiang, Urumqi 830046, China.ORCID 0000-0002-6570-6325

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The dynamical behaviors for a five-dimensional viral infection model with three delays which describes the interactions of antibody, cytotoxic T-lymphocyte (CTL) immune responses, and nonlinear incidence rate are investigated. The threshold values for viral infection, antibody response, CTL immune response, CTL immune competition, and antibody competition, respectively, are established. Under certain assumptions, the threshold value conditions on the global stability of the infection-free, immune-free, antibody response, CTL immune response, and interior equilibria are proved by using the Lyapunov functionals method, respectively. Immune delay as a bifurcation parameter is further investigated. The numerical simulations are performed in order to illustrate the dynamical behavior of the model.

Indexed as

Virus ReplicationAntibodiesComputer SimulationHumansImmune SystemIncidenceModels, ImmunologicalT-Lymphocytes, CytotoxicVirus DiseasesAntibodies

Identifiers

PMID28115980
PMCPMC5198507

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