Comparison between Numerical and Simulation Methods for Age-dependent Branching Models with Immigration


Autoria(s): Martinez, R.; Slavtchova-Bojkova, M.
Data(s)

26/01/2014

26/01/2014

2005

Resumo

2000 Mathematics Subject Classification: primary: 60J80, 60J85, secondary: 62M09, 92D40

This work aims to provide and to compare numerical computation and simulation method to estimate the distribution of some relevant variables related to an age-dependent model allowing immigration at state zero. Specifically, we analyze the behaviour of the following variables: the extinction time and the waiting time for the beginning of the survival of population forever. They are strongly related to the population and re-population experiments in biology and to the wastewater treatment, as well. Throughout the paper, we illustrate the methods provided by some proper examples.

This paper is partly supported by NFSI-Bulgaria, Grant No. MM-1101/2001.

Identificador

Pliska Studia Mathematica Bulgarica, Vol. 17, No 1, (2005), 147p-154p

0204-9805

http://hdl.handle.net/10525/2280

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Age-dependent Branching Processes with Immigration at Zero State #Numerical Computations #Monte-Carlo Method
Tipo

Article