Results 141 to 150 of about 532 (176)

The multitype measure branching process

Advances in Applied Probability, 1990
The existence of the multitype measure branching process is established as a small particle limit of a system of particles of several types in R d with immigration undergoing migration, branching and mutation.
Luis G. Gorostiza, Jose A. Lopez-Mimbela
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Estimation for multitype branching processes

Journal of Applied Probability, 1977
It is shown that certain estimators of the matrix of offspring means and the vector of stationary means in a subcritical multitype branching process with immigration are strongly consistent and obey the central limit theorem under fairly natural conditions.
Quine, M. P., Durham, P.
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Optimization of Multitype Branching Processes

Management Science, 1976
We consider either a discrete time or an age-dependent branching process where the population consists of k types of individuals. Each time an individual is born, an action is chosen, for him which affects his lifetime, the number and types of his offspring, and the reward received.
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Multitype branching processes in random environment

Russian Mathematical Surveys, 2021
Abstract A survey of results in the theory of multitype branching processes evolving in a random environment is presented. Bibliography: 104 titles.
Vatutin, Vladimir A., Dyakonova, Elena E.   +1 more
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Multitype Branching Processes

1985
The concepts and results of Chapter 2 are readily extended to aggregates of more than one particle type. Our interest lies in the aggregation behavior of f-valent antigen and bivalent antibody. Processes involving more than two types, [for example, f-valent antigen in solution with either a mixture of bivalent antibody and Fab fragments (univalent ...
Catherine A. Macken, Alan S. Perelson
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On Multitype Branching Processes in a Random Environment

Journal of Mathematical Sciences, 2002
For a critical multitype Galton-Watson process in an i.i.d. random environment the probability of extinction at time \(T\) is shown to be of order \(T^{-3/2}\) as \(T\to\infty\). This generalizes a result of \textit{V. A. Vatutin} and the author [Discrete Math. Appl. 7, No. 5, 469-496 (1997); translation from Diskretn. Mat. 9, No. 4, 100-126 (1997; Zbl
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Multitype Branching Processes and Some Queueing Systems

Journal of Mathematical Sciences, 2002
The authors derive limit theorems for multitype Galton-Watson branching processes with immigration at zero in the near critical case and apply them to obtain heavy traffic limit theorems in polling systems with gated service and exhaustive service.
Vatutin, V. A., Dyakonova, E. E.
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Inclusive Fitness from Multitype Branching Processes

Bulletin of Mathematical Biology, 2010
I use multitype branching processes to study genetic models for the evolution of social behaviour, i.e. behaviours that, when acted out, affect the success of the actor's neighbours. Here, I suppose an individual bearing a mutant copy of a gene influences the reproductive success of a neighbour by altering its own competitive ability.
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Multitype Contact Branching Processes

1995
Connections exist between n-type contact branching processes and deterministic models for spatial epidemics. Let the position of the furthest individual in a contact branching process from position 0 at time t in a given direction be denoted by U(t). Define \(y_i(s,t) = P[U(t) > s| \ \textup{one} \ \textup{type} \ i \ \textup dividual \ \textup{at} \ \
J. Radcliffe, L. Rass
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A Multitype Branching Process Model

1988
The model we develop is one of the simplest nontrivial models of cell growth in culture. We assume that there are three general classes of cells, which we label stem cells (S), macrophage progenitors (M), and end cells (E). Discrimination among the classes is on the basis of function of the member cells since typically the cell types cannot be ...
Catherine A. Macken, Alan S. Perelson
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