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R. H. Martin Jr., “Logarithmic Norms and Projections Applied to Linear Differential Systems,” Journal of Ma thematical Analysis and Applications, Vol. 45, No. 2, 1974, pp. 432-454. doi:10.1016/0022-247X(74)90084-5

has been cited by the following article:

• TITLE: Impact of Awareness on the Spread of Dengue Infection in Human Population

  AUTHORS: Sunita Gakkhar, Nareshkumar C. Chavda

  KEYWORDS: Awareness; Basic Reproduction Number; Stability

  JOURNAL NAME: Applied Mathematics, Vol.4 No.8A, July 29, 2013

  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.