Qualitative behavior of vector-borne disease model

Volume 9, Issue 3, pp 1382--1395 http://dx.doi.org/10.22436/jnsa.009.03.62

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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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Keywords

• Vector-borne model
• steady-states
• stability analysis.

MSC

•  35Q92
•  34D20

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