Evidence map›Paper›PMID 26877904›Full record

ArticleSpringerPlus2016

Codimension-one bifurcation and stability analysis in an immunosuppressive infection model.

Zohreh Dadi, Samira Alizade

Abstract read
In one paragraph

Article in SpringerPlus, 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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5 · Who and what money

Authors and funding

2 authors.

Zohreh DadiDepartment of Mathematics, University of Bojnord, Bojnord, Islamic Republic of Iran.
Samira AlizadeDepartment of Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

One of the important medical problems is infectious diseases such as HIV and hepatitis which annually causes the death of many people. So it is important to study infectious diseases parametric models. In this paper, we investigate differential equations system of HIV and hepatitis (with delay and without delay) from the stability and codimension-one bifurcation point of view. We show that their dynamical behaviour will change when the parameters vary. We prove that this model has a saddle-node bifurcation and transcritical bifurcation when the delay parameter is absent. Also by using the center manifold theory, we show that the delay model has a saddle-node bifurcation.

Indexed as

Bifurcation theoryDelay differential equationsInfectious diseases model

Identifiers

PMID26877904
PMCPMC4735110

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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.