|

Solving Stationary First Kolmogorov’s Equation for Markovian Process of Epidemic Developing According to the Scheme T1 + T2 -> T1 + T3, T1 + T3 -> T1, T1 -> 0

Authors: Mastikhin A.V. Published: 22.04.2014
Published in issue: #2(17)/2005  
DOI:

 
Category: Mathematics and Mechanics  
Keywords:

For the three-dimensional Markovian process of a special type the stationary first Kolmogorov’s equation is solved relative to transitional probabilities. Representation for a generating function of final probabilities is derived. Asymptotic values for both a mathematical mean and final distribution variance are found and limiting theorems are stated.