Qualitative Analysis of a Cholera Bacteriophage Model
Joint Authors
Mukherjee, Debasis
Das, Prasenjit
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-08
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Cholera still remains as a severe global threat and is currently spreading in Africa and other parts of the world.
The role of lytic bacteriophage as an intervention of cholera outbreaks is investigated using a mathematical model.
Dynamics of cholera is discussed on basis of the basic reproduction number R0.
Conditions of Hopf bifurcation are also derived for a positive net growth rate of Vibrio cholerae.
Stability analysis and numerical simulations suggest that bacteriophage may contribute to lessening the severity of cholera epidemics by reducing the number of Vibrio cholerae in the environment.
Hence with the presence of phage virus, cholera is self-limiting in nature.
By using phage as a biological control agent in endemic areas, one may also influence the temporal dynamics of cholera epidemics while reducing the excessive use of chemicals.
We also performed stochastic analysis which suggests that the model system is globally asymptotically stable in probability when the strengths of white noise are less than some specific quantities.
American Psychological Association (APA)
Das, Prasenjit& Mukherjee, Debasis. 2012. Qualitative Analysis of a Cholera Bacteriophage Model. ISRN Biomathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-485908
Modern Language Association (MLA)
Das, Prasenjit& Mukherjee, Debasis. Qualitative Analysis of a Cholera Bacteriophage Model. ISRN Biomathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-485908
American Medical Association (AMA)
Das, Prasenjit& Mukherjee, Debasis. Qualitative Analysis of a Cholera Bacteriophage Model. ISRN Biomathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-485908
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485908