TY - JFULL AU - M. Reni Sagayaraj and S. Anand Gnana Selvam and R. Reynald Susainathan PY - 2015/8/ TI - A Study on Stochastic Integral Associated with Catastrophes T2 - International Journal of Mathematical and Computational Sciences SP - 452 EP - 456 VL - 9 SN - 1307-6892 UR - https://publications.waset.org/pdf/10005954 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 103, 2015 N2 - We analyze stochastic integrals associated with a mutation process. To be specific, we describe the cell population process and derive the differential equations for the joint generating functions for the number of mutants and their integrals in generating functions and their applications. We obtain first-order moments of the processes of the two-way mutation process in first-order moment structure of X (t) and Y (t) and the second-order moments of a one-way mutation process. In this paper, we obtain the limiting behaviour of the integrals in limiting distributions of X (t) and Y (t). ER -