A MATHEMATICAL FORMULATION FOR CONTROL THE TRANSMISSION OF DENGUE DISEASE

It is transmitted between people by the bite of female adult Aedes mosquitoes. In the present work, we study amathematical modling which work as a powerful tool for controlling the dengue disease. The aim of the study is to observe the effects of control measures on the dengue disease development. Explicit formula for the metric, basic reproduction number 0 is obtained using Next Generation Matrix method. Stability of the disease free equilibrium and sensitivity analysis of model's parameters are discussed in terms of basic reproduction number. It is observed that the disease free equilibrium is locally and globally stable when 0 < 1 and unstable when 0 > 1. Numerical results are carried out to illustrate the impact of control measures in the disease transmission. We know the effect of our model on lead & also  at  global  level.  Dengue  is  a  masquito–borne  viral  infection  that  is  usually found  in  tropical  &  sub–tropical  regions  around  the  world.  In  recent  years, transmission  has  increased  pro–dominantly  in  urban  &  semi  urban  areas  &  has become a major public health cancern.