Comparison between Numerical and Simulation Methods for Age-dependent Branching Models with Immigration
Data(s) |
26/01/2014
26/01/2014
2005
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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 |
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 |