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Vector Borne Disease Research Paper

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Words 1385
Pages 6
SEEMA KHEKARE1 and SUJATHA JANARDHAN2
1Department of Applied Mathematics, G.H.Raisoni. Inst. of Engg. & Tech. for Women, Nagpur. E-mail: seema.ssk83@yahoo.in
2Department of Mathematics, St. Francis De Sales College, Nagpur. E-mail: sujata_jana@yahoo.com
Abstract: In this paper, we formulate and analyze a vector host epidemic model with non-monotonic incidence rates for vector and host both. We investigate the existence and stabilities of disease free equilibrium and endemic equilibrium. We prove that the disease reach to endemic state for the basic reproduction number greater than one the only possible equilibrium for basic reproduction number less than one is disease free equilibrium. We present numerical simulation to justify the theoretical results.
Key words: vector borne disease, basic reproduction number, disease free equilibrium, endemic equilibrium, stability.
1 Introduction …show more content…
Statement of WHO on World Health Day: Preventing vector born diseases shows that more than one billion people are infected and more than one million die from vector-borne diseases every year. WHO also highlights that vector born diseases are totally avoidable. Vector-borne diseases mostly invade the poorest population having lack of sanitation, safe drinking water and living in inadequate housing. Especially susceptible individuals are malnourished population and the population with less immunity. The number of vectors is increasing and spreading globally due to rapid international travel, global trade, changes in climate and speedily growing unplanned urbanization. Hence the vector-borne diseases are spreading

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