Holmes, P. and Guckenheimer, J. (1990) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer-Verlag, New York Inc., New York.

has been cited by the following article:

• TITLE: Effective Control Strategies on the Transmission Dynamics of a Vector-Borne Disease

  AUTHORS: Saddam Hossain, Jannatum Nayeem, Chandranath Podder

  KEYWORDS: Vector-Borne Disease, Dengue, Reproduction Number, Force of Infection, Control Strategies

  JOURNAL NAME: Open Journal of Modelling and Simulation, Vol.3 No.3, July 16, 2015

  ABSTRACT: In this paper, we have rigorously analyzed a model to find the effective control strategies on the transmission dynamics of a vector-borne disease. It is proved that the global dynamics of the disease are completely determined by the basic reproduction number. The numerical simulations (using MatLab and Maple) of the model reveal that the precautionary measures at the aquatic and adult stage decrease the number of new cases of dengue virus. Numerical simulation indicates that if we take the precautionary measures seriously then it would be more effective than even giving the treatment to the infected individuals.