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Träfflista för sökning "WFRF:(Klebaner Fima) srt2:(2020)"

Search: WFRF:(Klebaner Fima) > (2020)

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1.
  • Jagers, Peter, 1941, et al. (author)
  • Convergence of the age structure of general schemes of population processes
  • 2020
  • In: Bernoulli. - 1350-7265. ; 26:2, s. 893-926
  • Journal article (peer-reviewed)abstract
    • We consider a family of general branching processes with reproduction parameters depending on the age of the individual as well as the population age structure and a parameter K, which may represent the carrying capacity. These processes are Markovian in the age structure. In a previous paper [8] the Law of Large Numbers as K Ñ 8 was derived. Here we prove the Central Limit Theorem, namely the weak convergence of the fluctuation processes in an appropriate Skorokhod space. We also show that the limit is driven by a stochastic partial differential equation.
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2.
  • Yen Fan, Jie, 1988, et al. (author)
  • LIMIT THEOREMS FOR MULTI-TYPE GENERAL BRANCHING PROCESSES WITH POPULATION DEPENDENCE
  • 2020
  • In: Advances in Applied Probability. - : Cambridge University Press (CUP). - 0001-8678 .- 1475-6064. ; 52:4, s. 1127-1163
  • Journal article (peer-reviewed)abstract
    • A general multi-type population model is considered, where individuals live and reproduce according to their age and type, but also under the influence of the size and composition of the entire population. We describe the dynamics of the population as a measure-valued process and obtain its asymptotics as the population grows with the environmental carrying capacity. Thus, a deterministic approximation is given, in the form of a law of large numbers, as well as a central limit theorem. This general framework is then adapted to model sexual reproduction, with a special section on serial monogamic mating systems.
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  • Result 1-2 of 2
Type of publication
journal article (2)
Type of content
peer-reviewed (2)
Author/Editor
Hamza, K (2)
Jagers, Peter, 1941 (2)
Yen Fan, Jie, 1988 (2)
Klebaner, Fima C., 1 ... (1)
Klebaner, Fima, 1952 (1)
University
Chalmers University of Technology (2)
University of Gothenburg (1)
Language
English (2)
Research subject (UKÄ/SCB)
Natural sciences (2)
Year
2020 (2)Undo refine

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