Mathematical Analysis of a Malaria Model with Partial Immunity to Reinfection
Joint Authors
Seo, Young Il
Lashari, Abid Ali
Okosun, Kazeem Oare
Jung, Il Hyo
Cai, Li-Ming
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-27
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A deterministic model with variable human population for the transmission dynamics of malaria disease, which allows transmission by the recovered humans, is first developed and rigorously analyzed.
The model reveals the presence of the phenomenon of backward bifurcation, where a stable disease-free equilibrium coexists with one or more stable endemic equilibria when the associated reproduction number is less than unity.
This phenomenon may arise due to the reinfection of host individuals who recovered from the disease.
The model in an asymptotical constant population is also investigated.
This results in a model with mass action incidence.
A complete global analysis of the model with mass action incidence is given, which reveals that the global dynamics of malaria disease with reinfection is completely determined by the associated reproduction number.
Moreover, it is shown that the phenomenon of backward bifurcation can be removed by replacing the standard incidence function with a mass action incidence.
Graphical representations are provided to study the effect of reinfection rate and to qualitatively support the analytical results on the transmission dynamics of malaria.
American Psychological Association (APA)
Cai, Li-Ming& Lashari, Abid Ali& Jung, Il Hyo& Okosun, Kazeem Oare& Seo, Young Il. 2013. Mathematical Analysis of a Malaria Model with Partial Immunity to Reinfection. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-469455
Modern Language Association (MLA)
Cai, Li-Ming…[et al.]. Mathematical Analysis of a Malaria Model with Partial Immunity to Reinfection. Abstract and Applied Analysis No. 2013 (2013), pp.1-17.
https://search.emarefa.net/detail/BIM-469455
American Medical Association (AMA)
Cai, Li-Ming& Lashari, Abid Ali& Jung, Il Hyo& Okosun, Kazeem Oare& Seo, Young Il. Mathematical Analysis of a Malaria Model with Partial Immunity to Reinfection. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-17.
https://search.emarefa.net/detail/BIM-469455
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469455