Results 81 to 90 of about 587 (192)
The probability of containment for multitype branching process models for emerging epidemics
, 2011 This paper is concerned with the definition and calculation of containment probabilities for emerging disease epidemics. A general multitype branching process is used to model an emerging infectious disease in a population of households. It is shown that
O'Neill, P. D. +3 more
core +1 more source
Conditional Distributions and Waiting Times in Multitype Branching Processes [PDF]
Advances in Applied Probability, 2013 In this paper we present novel results for discrete-time and Markovian continuous-time multitype branching processes. As a population develops, we are interested in the waiting time until a particular type of interest (such as an escape mutant) appears, and in how the distribution of individuals depends on whether this type has yet appeared ...
openaire +3 more sources
Controlled Multitype Branching Models: Geometric Growth [PDF]
, 2007 2000 Mathematics Subject Classi cation: 60J80, 60F25.In this work we deal with a multitype branching process that puts together control in the number of reproductive units of each type and population size - dependent reproduction.
Martinez, Rodrigo +2 more
core
Continuous-time multitype branching processes conditioned on very late extinction
, 2011 Multitype branching processes and Feller diffusion processes are conditioned on very late extinction. The conditioned laws are expressed as Doob h-transforms of the unconditioned laws, and an interpretation of the conditioned paths for the branching ...
Pénisson, Sophie
core
Genealogical methods for multitype branching processes with applications in biology
, 2001 Biological populations are naturally organized into lineages of reproducing particles. Multitype branching processes are a probabilistic description of such systems.
Shaw, Chad Abramson
core
A Branching Process Approximation of the Final Size of a Multitype Collective Reed-Frost Model
, 2013 We consider the asymptotic behavior of the final size of a multitype collective Reed-Frost process. This type of models was introduced by [9] and include most known epidemic models of the type SIR (Susceptible, Infected, Removed) as special cases.
Ziad, T. +3 more
core +1 more source
A Note on the Asymptotic Behaviour of a Periodic Multitype Galton-Watson Branching Process [PDF]
, 2004 2000 Mathematics Subject Classification: 60J80.In this work, the problem of the limiting behaviour of an irreducible Multitype Galton-Watson Branching Process with period d greater than 1 is considered.
González, M., Martínez, R., Mota, M.
core
The multitype branching diffusion
The multitype branching diffusion (MBD) is considered. A review of the general theory of multitype point processes is given in Section 2, and spatial central limit theorems for homogeneous infinitely divisible processes are proven in Section 3.
Ivanoff, B. Gail
core
On multitype branching processes in a random environment
Advances in Applied Probability, 1981 This paper is concerned with the growth of multitype branching processes in a random environment (mbpre). It is shown that, under suitable regularity conditions, the process either explodes of becomes extinct. A classification theorem is given delineating the cases of explosion or extinction.
openaire +4 more sources
Some properties of the multitype measure branching process
Qualitative properties of the multitype measure branching process and its occupation time process are investigated, including martingale properties, Hausdorff dimension of supports, existence of densities and stochastic equations.multitype measure ...
Roelly, Sylvie, Gorostiza, Luis G.
core