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CO-DYNAMICS OF CONSCIOUSNESS AND POPULATIONS OF THE DENGUE VECTOR IN A SPRAYING INTERVENTION SYSTEM MODELED BY DIFFERENCE EQUATIONS T. Awerbuch-Friedlander (U.S.A.), R. Levins (U.S.A.) and M. Predescu (U.S.A.) Received July 10, 2009 References:
[1] T. Awerbuch-Friedlander, R. Levins, E. Camouzis, E. A. Grove, G. Ladas and M. Predescu, A non-linear system of difference equations linking mosquitoes, habitats, and community interventions, Comm. Appl. Nonlinear Anal. 15(2) (2008), 77-88. [2] E. A. Grove and G. Ladas, Periodicities in nonlinear difference equations, Advances in Discrete Mathematics and Applications, 4, Chapman & Hall/CRC, Boca Raton, FL, 2005. [3] V. J. Kocic and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic Publishers, 1993. [4] C. J. Koenraadt, J. Aldstadt, U. Kijchalao, A. Kengluecha, J. W. Jones and T. W. Scott, Spatial and temporal patterns in the recovery of Aedes aegypti (Diptera: Culicidae) populations after insecticide treatment, J. Med. Entomol. 44(1) (2007), 65 71. [5] M. R. S. Kulenović and O. Merino, Discrete Dynamical Systems and Difference Equations with Mathematica, Chapman and Hall/CRC, Boca Raton, FL, 2002. [6] A. Lucia, L. Harburguer, S. Licastro, E. Zerba and H. Masuh, Efficacy of a new combined larvicidal-adulticidal ultralow volume formulation against Aedes aegypti (Diptera: Culicidae), vector of dengue, Parasitol Res. 104(5) (2009), 1107. [7] M. Predescu, R. Levins and T. Awerbuch-Friedlander, Analysis of a nonlinear system for community intervention in mosquito control, Discrete Contin. Dyn. Syst. Ser. B 6(3) (2006), 605-622. [8] H. Rozilawati, H. L. Lee, S. Mohd Masri, I. Mohd Noor and S. Rosman, Field bioefficacy of deltamethrin residual spraying against dengue vectors, Trop Biomed. 22(2) (2005), 143-148.

Keywords and phrases: equilibrium, invariant intervals, local and global asymptotic stability, difference equations.

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