Human fertility is a very complex socio-cultural physiological phenomenon which needs not only one but many disciplinary approach for its study to have insight into its total reality. It is one of the three most crucial demographic factors that govern the pace of population dynamics and determines the demographic feature of any country. Because of its essential role in shaping the demographic profile to a great extent, it has appealed many sociologist, demographers for study of human reproduction. Precise estimates of human fertility are very important for formulation, implementation and execution of diversified development plans and family welfare programs. Study of fertility aroused attention to try to understand the dynamics of change in population composition and vital rates because it is one of the positive vital forces mainly responsible for higher rate of population growth. The paper is concerned with the study of age- specific fertility levels in India using a mathematical model. A skew-logistic distribution based fertility model has been used to capture the prevailing fertility pattern of Indian sates. The relevant data have been extracted from National Family Health Survey -4 (NFHS-4). The paper also focuses to develop certain new methodologies and incorporating concepts of stochastic modeling and other statistical tools for better understanding of human fertility behavior.