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Research Paper | Mathematics | Volume 6 Issue 12, December 2017 | Pages: 1090 - 1094 | Nigeria
Stochastic Differential Equation on Extinction Probability
Abstract: This study was designed to develop and apply a stochastic differential equation that proves and computes the probability of extinction of a giving family using factorization method. This method was used on the stochastic birth-death process equation to determine the probability generating function. The limiting values of the generating function G (t, z) as t, z = 0 were taken to determine the extinction probability. Forty (40) families were studied and purposefully administered ( by one-on-one interaction) to heads of families using the ten (10) wards in Bekwarra Local Government Area, Cross River State to ascertain the birth rate, date rate and extinction probability.
Keywords: Extinction probability, Stochastic differential equation, Birth-death process
How to Cite?: Agba M. E, Ugbebor O. O., "Stochastic Differential Equation on Extinction Probability", Volume 6 Issue 12, December 2017, International Journal of Science and Research (IJSR), Pages: 1090-1094, https://www.ijsr.net/getabstract.php?paperid=23111706, DOI: https://dx.doi.org/10.21275/23111706