Dynamics of a pathogen-immune interaction model

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dc.contributor.advisorWang, Lin
dc.contributor.advisorWatmough, James
dc.contributor.authorAlshobrami, Norah
dc.date.accessioned2023-03-01T16:43:42Z
dc.date.available2023-03-01T16:43:42Z
dc.date.issued2013
dc.date.updated2020-07-08T00:00:00Z
dc.description.abstractA new mathematical model is proposed to describe the interaction between the virus and the immune cells in an HIV infected host. For this new model, we study the existence of non-negative equilibria, bifurcation of equilibria, and stability of equilibria. We also carry out numerical simulations to illustrate all possible dynamics. In addition, we numerically explore drug therapy treatment strategies to find the right regimes for the strengths of the therapy and the duration of the treatment so that sustained immunity can be established.
dc.description.copyright© Norah Alshobrami, 2013
dc.description.noteA Report Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics in the Graduate Academic Unit of Mathematics and Statistics. Scanned from archival print submission.
dc.description.noteM.Sc. University of New Brunswick, Department of Mathematics and Statistics, 2013.
dc.formattext/xml
dc.format.extentix, 57 pages
dc.format.mediumelectronic
dc.identifier.oclc(OCoLC)1150888836
dc.identifier.otherThesis 9304
dc.identifier.urihttps://unbscholar.lib.unb.ca/handle/1882/14393
dc.language.isoen_CA
dc.publisherUniversity of New Brunswick
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.subject.disciplineMathematics and Statistics
dc.subject.lcshHIV (Viruses) -- Mathematical models.
dc.subject.lcshHIV infections -- Mathematical models.
dc.subject.lcshImmunocompetent cells -- Mathematical models.
dc.subject.lcshHIV-positive persons -- Chemotherapy -- Mathematical models.
dc.titleDynamics of a pathogen-immune interaction model
dc.typemaster thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.fullnameMaster of Science in Mathematics
thesis.degree.fullnameMaster of Science in Mathematics
thesis.degree.grantorUniversity of New Brunswick
thesis.degree.levelmasters
thesis.degree.nameM.Sc.
thesis.degree.nameMaster of Science in Mathematics

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