%0 Journal Article
	%A M. Reni Sagayaraj and  S. Anand Gnana Selvam and  R. Reynald Susainathan
	%D 2015
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 103, 2015
	%T A Study on Stochastic Integral Associated with Catastrophes
	%U https://publications.waset.org/pdf/10005954
	%V 103
	%X 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).

	%P 453 - 456