A complete description of dynamics generated by birth-and-death problem: a semigroup approach

• Autorzy: Jacek Banasiak
• Języki publikacji: EN

Abstrakty

EN

We shall present necessary and sufficient conditions for both conservativity and uniqueness of solutions to birth-and-death system of equations using methods of semigroup theory. The derived conditions correspond to the uniqueness criteria for forward and backward birth-and-death systems due to Reuter, [10,11,1], that were derived in a different context by Markov processes' techniques.

Kategorie tematyczne

• 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
• 47D06: One-parameter semigroups and linear evolution equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 63
• Numer: 1
• Strony: 123-163

Daty

wydano

2003

Twórcy

autor

Jacek Banasiak

• School of Mathematical and Statistical Sciences, University of Natal, Durban 4041, South Africa

Identyfikatory

DOI

10.4064/bc63-0-5