STABILITY ANALYSIS OF A VECTOR HOST EPIDEMIC MODEL

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Published: 2017-10-27

Page: 98-109


SEEMA KHEKARE *

Department of Applied Mathematics, G. H. Raisoni Institute of Engineering and Technology, Nagpur, India.

SUJATHA JANARDHAN

Department of Mathematics, St. Francis De Sales College, Nagpur, India.

*Author to whom correspondence should be addressed.


Abstract

In this paper, we formulate and analyze a vector host epidemic model with non-monotonic incidence rates for both vector and host to understand the transmission mechanism of vector borne diseases better. We investigate the stabilities of disease free and endemic equilibriums. We also show that the disease reach to endemic state for the basic reproduction number greater than one. We analyze the effects of psychological and social awareness on disease endemic and validate these results through numerical simulation.

Keywords: Vector borne disease, basic reproduction number, disease free equilibrium, endemic equilibrium, stability


How to Cite

KHEKARE, S., & JANARDHAN, S. (2017). STABILITY ANALYSIS OF A VECTOR HOST EPIDEMIC MODEL. Asian Journal of Mathematics and Computer Research, 21(3), 98–109. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/1136

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