Global dynamics and sensitivity analysis of a vector-host-reservoir model
Other Title(s)
الديناميكية الشاملة و تحليل الحساسية لنموذج العائل-المستودع و الناقل
Joint Authors
Biswas, Santanu
Chattopadhyay, Joydev
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 21, Issue 2 (31 Dec. 2016), pp.121-139, 19 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2016-12-31
Country of Publication
Oman
No. of Pages
19
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract EN
The role of animal reservoir in the disease dynamics is not yet properly studied.
In the present investigation a mathematical model of a vector-host-reservoir is proposed and analyzed to observe the global dynamics of the disease.
We observe that the disease free equilibrium is globally asymptotically stable if the basic reproduction number ( 0 ) is less than unity whereas unique positive equilibrium is globally asymptotically stable if 0 >1 and transcritical bifurcation occurs at 0 =1.
Our numerical result suggests that the biting rate plays an important role for the propagation of the disease and the recovery rate has not such important contribution towards eradication of the disease.
We also perform sensitivity analysis of the model parameters and the results suggest that the death rate of reservoir may be used as a control parameter to eradicate the disease.
American Psychological Association (APA)
al-Mushtabh, Ibrahim Muhammad& Biswas, Santanu& Chattopadhyay, Joydev. 2016. Global dynamics and sensitivity analysis of a vector-host-reservoir model. Sultan Qaboos University Journal for Science،Vol. 21, no. 2, pp.121-139.
https://search.emarefa.net/detail/BIM-720692
Modern Language Association (MLA)
Biswas, Santanu…[et al.]. Global dynamics and sensitivity analysis of a vector-host-reservoir model. Sultan Qaboos University Journal for Science Vol. 21, no. 2 (2016), pp.121-139.
https://search.emarefa.net/detail/BIM-720692
American Medical Association (AMA)
al-Mushtabh, Ibrahim Muhammad& Biswas, Santanu& Chattopadhyay, Joydev. Global dynamics and sensitivity analysis of a vector-host-reservoir model. Sultan Qaboos University Journal for Science. 2016. Vol. 21, no. 2, pp.121-139.
https://search.emarefa.net/detail/BIM-720692
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 138-139
Record ID
BIM-720692