Branching processes. II
VA Vatutin, AM Zubkov - Journal of Soviet Mathematics, 1993 - Springer
The first part of our survey [64] was published in 1985. The long time that has elapsed has
prompted us to consider the second part not only as a continuation of the first, which treates …
prompted us to consider the second part not only as a continuation of the first, which treates …
The branching process with logistic growth
A Lambert - 2005 - projecteuclid.org
In order to model random density-dependence in population dynamics, we construct the
random analogue of the well-known logistic process in the branching process' framework …
random analogue of the well-known logistic process in the branching process' framework …
Ch. 18. biological applications of branching processes
AG Pakes - Handbook of statistics, 2003 - Elsevier
Publisher Summary Branching process models occur in an amazing variety of applications.
It certainly embraces modeling involving branching process structures designed to further …
It certainly embraces modeling involving branching process structures designed to further …
Modeling the interaction of HIV with cells of the immune system
SJ Merrill - Mathematical and statistical approaches to AIDS …, 1989 - Springer
Several mathematical models describing the interaction of HIV with T4 lymphocytes and
macrophages are presented. The primary problems addressed involve the decline of …
macrophages are presented. The primary problems addressed involve the decline of …
Diffusion approximation of controlled branching processes with random environments
G Rosenkranz - Stochastic Analysis and Applications, 1985 - Taylor & Francis
Diffusion approximation of controlled branching processes with random environments Page 1
STOCHASTIC ANALYSIS AND APPLICATIONS, 3(3), 363-377 (1985) DIFFUSION …
STOCHASTIC ANALYSIS AND APPLICATIONS, 3(3), 363-377 (1985) DIFFUSION …
Stochastic models of tumor growth and the probability of elimination by cytotoxic cells
SJ Merrill - Journal of mathematical biology, 1984 - Springer
The probability of tumor extinction due to the action of cytotoxic cell populations is
investigated by several one dimensional stochastic models of the population growth and …
investigated by several one dimensional stochastic models of the population growth and …
Positive recurrence of multi-dimensional population-dependent branching processes
W Rittgen - Biological Growth and Spread: Mathematical Theories …, 1980 - Springer
Continuous time branching processes are appropriate stochastic models for the temporal
description of cell populations as long as the ce" lls existing simultaneously can be assumed …
description of cell populations as long as the ce" lls existing simultaneously can be assumed …
Stochastic measure diffusions as models of growth and spread
G Rosenkranz - … Theories and Biological Applications Proceedings of a …, 2006 - Springer
The primary purpose of this paper is to introduce measure valued diffusion processes as
epprcx r me ti ons for certain spacetime population models which can roughly be …
epprcx r me ti ons for certain spacetime population models which can roughly be …