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Mathematical Analysis of Influenza A Dynamics in the Emergence of Drug Resistance
Joint Authors
Luboobi, Livingstone
Kimathi, Mark
Kanyiri, Caroline W.
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-29
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Every year, influenza causes high morbidity and mortality especially among the immunocompromised persons worldwide.
The emergence of drug resistance has been a major challenge in curbing the spread of influenza.
In this paper, a mathematical model is formulated and used to analyze the transmission dynamics of influenza A virus having incorporated the aspect of drug resistance.
The qualitative analysis of the model is given in terms of the control reproduction number, Rc.
The model equilibria are computed and stability analysis carried out.
The model is found to exhibit backward bifurcation prompting the need to lower Rc to a critical value Rc∗ for effective disease control.
Sensitivity analysis results reveal that vaccine efficacy is the parameter with the most control over the spread of influenza.
Numerical simulations reveal that despite vaccination reducing the reproduction number below unity, influenza still persists in the population.
Hence, it is essential, in addition to vaccination, to apply other strategies to curb the spread of influenza.
American Psychological Association (APA)
Kanyiri, Caroline W.& Kimathi, Mark& Luboobi, Livingstone. 2018. Mathematical Analysis of Influenza A Dynamics in the Emergence of Drug Resistance. Computational and Mathematical Methods in Medicine،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1131839
Modern Language Association (MLA)
Kanyiri, Caroline W.…[et al.]. Mathematical Analysis of Influenza A Dynamics in the Emergence of Drug Resistance. Computational and Mathematical Methods in Medicine No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1131839
American Medical Association (AMA)
Kanyiri, Caroline W.& Kimathi, Mark& Luboobi, Livingstone. Mathematical Analysis of Influenza A Dynamics in the Emergence of Drug Resistance. Computational and Mathematical Methods in Medicine. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1131839
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131839