A note on fractional linear pure birth and pure death processes in epidemic models
نویسندگان
چکیده
منابع مشابه
Fractional Pure Birth Processes
We consider a fractional version of the classical non-linear birth process of which the YuleFurry model is a particular case. Fractionality is obtained by replacing the first-order time derivative in the difference-differential equations which govern the probability law of the process, with the Dzherbashyan-Caputo fractional derivative. We derive the probability distribution of the number Nν (t...
متن کاملA Note on Quasi-stationary Distributions of Birth-death Processes and the Sis Logistic Epidemic
For Markov processes on the positive integers with the origin as an absorbing state, Ferrari, Kesten, Martinez and Picco [4] studied the existence of quasi-stationary and limiting conditional distributions by characterizing quasi-stationary distributions as fixed points of a transformation Φ on the space of probability distributions on {1, 2, . . .}. In the case of a birth-death process, one ca...
متن کاملEstimating transition intensities in pure birth processes sampled in time
We consider a situation where the state of a large number of independent pure birth processes, with common birth intensities, are observed at two time points. Estimates are derived, both when no restriction is placed on the intensities, and when they are assumed to follow a certain parametric model which assumes that the birth intensities are increasing. This is an assumptions that is sometimes...
متن کاملTwo questions on linear QBD’s (quasi-birth-and-death) processes
Contents 1 Quasi birth and death processes 1 2 The QBD of the linear retrial/overflow model 3 3 The factorial moments 8 1 Quasi birth and death processes Motivation. Many important stochastic models involve mul-tidimensional random walks with discrete state space, whose coordinates split naturally into
متن کاملA Note on Solid Coloring of Pure Simplicial Complexes
We establish a simple generalization of a known result in the plane. The simplices in any pure simplicial complex in R may be colored with d+1 colors so that no two simplices that share a (d−1)-facet have the same color. In R this says that any planar map all of whose faces are triangles may be 3-colored, and in R it says that tetrahedra in a collection may be “solid 4-colored” so that no two g...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2011
ISSN: 0378-4371
DOI: 10.1016/j.physa.2011.06.005