Saddam Hossain¹, Jannatum Nayeem², Chandranath Podder³

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¹ BRAC University, Dhaka, Bangladesh.
² Ahsanullah Universities of Science and Technology, Dhaka, Bangladesh.
³ Department of Mathematics, University of Dhaka, Dhaka, Bangladesh.
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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.

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

Cite this paper: Hossain, S. , Nayeem, J. and Podder, C. (2015) Effective Control Strategies on the Transmission Dynamics of a Vector-Borne Disease. Open Journal of Modelling and Simulation, 3, 111-119. doi: 10.4236/ojmsi.2015.33012.

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