Evidence map›Paper›PMID 26413141›Full record

ArticleComputational and mathematical methods in medicine2015

Stability and Hopf Bifurcation in a Delayed HIV Infection Model with General Incidence Rate and Immune Impairment.

Fuxiang Li, Wanbiao Ma, Zhichao Jiang, Dan Li

Abstract read
In one paragraph

Article in Computational and mathematical methods in medicine, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.

0numbers the graph read from it
0cells of the map it votes in
3citing papers in PubMed
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1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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3 · Its place in the literature

Who cites it

3 citing papers in PubMed.

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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Fuxiang LiDepartment of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China.
Wanbiao MaDepartment of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China.
Zhichao JiangFundamental Science Department, North China Institute of Aerospace Engineering, Langfang, Hebei 065000, China.
Dan LiDepartment of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

We investigate the dynamical behavior of a delayed HIV infection model with general incidence rate and immune impairment. We derive two threshold parameters, the basic reproduction number R 0 and the immune response reproduction number R 1. By using Lyapunov functional and LaSalle invariance principle, we prove the global stability of the infection-free equilibrium and the infected equilibrium without immunity. Furthermore, the existence of Hopf bifurcations at the infected equilibrium with CTL response is also studied. By theoretical analysis and numerical simulations, the effect of the immune impairment rate on the stability of the infected equilibrium with CTL response has been studied.

Indexed as

Basic Reproduction NumberComputer SimulationHIV InfectionsHumansIncidenceModels, BiologicalModels, ImmunologicalModels, StatisticalT-Lymphocytes, Cytotoxic

Identifiers

PMID26413141
PMCPMC4539976

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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.