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Mathematical Modeling is an interdisciplinary approach applied in every domain of research. In 'bio-mathematical' research mathematical modeling is one of the main approaches to be applied. The numerical data collected from various sources could be proved by 'Mathematical Modeling to improve medication. With new opportunities and scope, bio-mathematical modeling has been proved a significant application. Mathematical modeling is used to define and measure the frequency of various infectious diseases in different stages in human population. Some new mathematical models have been developed with the help of SIR model so that some parameters could be developed for further analysis.