First-Passage Time moment Approximation For The Birth–Death Diffusion Process To A General moving Barrier
Journal Title: International Journal of Mathematics and Statistics Invention - Year 2017, Vol 5, Issue 9
Abstract
The development of a mathematical models for population growth of great importance in many fields. The growth and decline of real populations can in many cases be well approximated by the solutions of a stochastic differential equations. However, there are many solutions in which the essentially random nature of population growth should be taken into account. Thispaper focusses in approximating the moments of the first – passage time for the birth and death diffusion process to a general moving barriers. This was done by approximating the differential equations by an equivalent difference equations.
Authors and Affiliations
Basel M. Al- Eideh
Keywords
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