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A mathematical model is proposed and analyzed for the understanding of growth pattern of mosquito vector looking into its life cycle. The objective of this study is to develop a mathematical model that can fit to the real data provided by DRDE scientist for different month at different stations so that the seasonal variation in population density of mosquitoes can be reported accurately to the estimated data obtained by the proposed mathematical model.  The aquatic class $(L)$ and adult stage is divided in two class, indoor population $(I)$ and outdoor population $(O)$. Here we estimated different parameters of our proposed continuous model and numerically simulation is done to compare the estimated data with the original data.