Qualitative behavior of vector-borne disease model
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Authors
Muhammad Ozair
- Department of Mathematics, The University of Poonch Rawalakot, Pakistan.
Qamar Din
- Department of Mathematics, The University of Poonch Rawalakot, Pakistan.
Takasar Hussain
- Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan.
Aziz Ullah Awan
- Department of Mathematics, University of the Punjab, Lahore, Pakistan.
Abstract
We investigate some qualitative behavior of a vector-borne disease model. Specially, we study local as
well as global asymptotic stability of both disease-free and endemic equilibria of the model under certain
parametric conditions. Furthermore, global behavior of disease-free equilibrium is investigated by constructing
Lyapunov function, while global behavior of endemic equilibrium is discussed through geometric
approach. Numerical simulations are provided to illustrate the theoretical discussion.
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ISRP Style
Muhammad Ozair, Qamar Din, Takasar Hussain, Aziz Ullah Awan, Qualitative behavior of vector-borne disease model, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 1382--1395
AMA Style
Ozair Muhammad, Din Qamar, Hussain Takasar, Awan Aziz Ullah, Qualitative behavior of vector-borne disease model. J. Nonlinear Sci. Appl. (2016); 9(3):1382--1395
Chicago/Turabian Style
Ozair, Muhammad, Din, Qamar, Hussain, Takasar, Awan, Aziz Ullah. "Qualitative behavior of vector-borne disease model." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 1382--1395
Keywords
- Vector-borne model
- steady-states
- stability analysis.
MSC
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