Abstract

It is transmitted between people by the bite of female adult Aedes mosquitoes. In the present work, we study a mathematical 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

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