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Markovian Process of Weiss Epidemic and Branching Process

Authors: Kalinkin A.V., Mastikhin A.V. Published: 17.03.2014
Published in issue: #2(21)/2006  
DOI:

 
Category: Mathematics and Mechanics  
Keywords:

Offered method of construction of the closed solution ofKolmogorov’s equations for the exponential (dual) generating function of transition probabilities is applied to 2-D Markovian process of species death. An integral approximation using special functions is derived for the generating function of transition probabilities. Expressions of the random process expectancy and variance are given and the limiting theorem is stated.