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Impact of Awareness on the Spread of Dengue Infection in Human Population
Department of Mathematics, Indian Institute of Technology, Roorkee, India
Department of Mathematics, Indian Institute of Technology, Roorkee, India
- 1 Department of Mathematics, Indian Institute of Technology, Roorkee, India
- 2 Department of Mathematics, Indian Institute of Technology, Roorkee, India
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Abstract
In this paper, a model is proposed to study the impact of awareness on the dynamics of dengue. It is assumed that due to awareness of the disease some susceptible take necessary precautionary measures to protect themselves from mosquito bite. A threshold is obtained for the stability of the disease-free equilibrium state. The awareness is found to affect the threshold. For the sufficiently large awareness rate, the endemic state does not exist and disease-free state remains globally stable. It is concluded that the increase in the awareness rate decreases the densities of infectious populations of human as well as mosquitoes.
KeywordsAwarenessBasic Reproduction NumberStability
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