Abstract
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 ( ) is less than unity whereas unique positive equilibrium is globally asymptotically stable if and transcritical bifurcation occurs at . 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.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol21iss2pp120-138
- Journal
- Sultan Qaboos University Journal for Science, 21(2), 120
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Elmojtaba, I. M., Biswas, S., & Chattopadhyay, J. (2016). Global Dynamics and Sensitivity Analysis of a Vector-Host-Reservoir Model. Sultan Qaboos University Journal for Science, 21(2), 120. https://doi.org/10.24200/squjs.vol21iss2pp120-138
MLA 9
Elmojtaba, Ibrahim M., 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. 120. https://doi.org/10.24200/squjs.vol21iss2pp120-138.
Chicago (author–date)
Elmojtaba, Ibrahim M., Santanu Biswas, and Joydev Chattopadhyay. 2016. "Global Dynamics and Sensitivity Analysis of a Vector-Host-Reservoir Model." Sultan Qaboos University Journal for Science 21 (2): 120. https://doi.org/10.24200/squjs.vol21iss2pp120-138.
Harvard
Elmojtaba, I. M., Biswas, S. and Chattopadhyay, J. (2016) 'Global Dynamics and Sensitivity Analysis of a Vector-Host-Reservoir Model', Sultan Qaboos University Journal for Science, 21(2), pp. 120. doi:10.24200/squjs.vol21iss2pp120-138.
Vancouver
Elmojtaba IM, Biswas S, Chattopadhyay J. Global Dynamics and Sensitivity Analysis of a Vector-Host-Reservoir Model. Sultan Qaboos University Journal for Science. 2016;21(2):120. doi:10.24200/squjs.vol21iss2pp120-138
IEEE
I. M. Elmojtaba, S. Biswas, and J. Chattopadhyay, "Global Dynamics and Sensitivity Analysis of a Vector-Host-Reservoir Model," Sultan Qaboos University Journal for Science, vol. 21, no. 2, pp. 120, 2016, doi: 10.24200/squjs.vol21iss2pp120-138.