Analysis of a Mathematical Model of Emerging Infectious Disease Leading to Amphibian Decline
Joint Authors
Dur-e-Ahmad, Muhammad
Imran, Mudassar
Khan, Adnan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-28
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We formulate a three-dimensional deterministic model of amphibian larvae population to investigate the cause of extinction due to the infectious disease.
The larvae population of the model is subdivided into two classes, exposed and unexposed, depending on their vulnerability to disease.
Reproduction ratio ℛ0 has been calculated and we have shown that if ℛ0<1, the whole population will be extinct.
For the case of ℛ0>1, we discussed different scenarios under which an infected population can survive or be eliminated using stability and persistence analysis.
Finally, we also used Hopf bifurcation analysis to study the stability of periodic solutions.
American Psychological Association (APA)
Dur-e-Ahmad, Muhammad& Imran, Mudassar& Khan, Adnan. 2014. Analysis of a Mathematical Model of Emerging Infectious Disease Leading to Amphibian Decline. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1013345
Modern Language Association (MLA)
Dur-e-Ahmad, Muhammad…[et al.]. Analysis of a Mathematical Model of Emerging Infectious Disease Leading to Amphibian Decline. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1013345
American Medical Association (AMA)
Dur-e-Ahmad, Muhammad& Imran, Mudassar& Khan, Adnan. Analysis of a Mathematical Model of Emerging Infectious Disease Leading to Amphibian Decline. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1013345
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013345