backgroundeach year about 32.4 million of children are born with low birth weight, which is below the 10th percentile for their gestational ages; moreover, about fifteen million of them are premature. actually, about 60% of neonatal deaths occur in low birth weight neonates related to their prematurity. this study aimed to determine the neonatal death rate and the most common causes of the hosp...

Carcinogenesis is a multistage random process involving generic changes and stochastic proliferation and differentiation of normal cells and genetically altered stem cells. In this paper, we present the probability of time to tumour onset for a carcinogenesis model wherein the cells grow according to a birth and death process with density-dependent birth and death rates. This is achieved by tra...

In a first part, we prove a Lyapunov-type criterion for the ξ1-positive recurrence of absorbed birth and death processes and provide new results on the domain of attraction of the minimal quasi-stationary distribution. In a second part, we study the ergodicity and the convergence of a Fleming-Viot type particle system whose particles evolve independently as a birth and death process and jump on...

We introduce the concept of asymptotic period for an irreducible and aperiodic discrete-time Markov chain on a countable state space. If the chain is transient its asymptotic period may be larger than one. We present some sufficient conditions and, in the more restricted setting of birth-death processes, a necessary and sufficient condition for asymptotic aperiodicity . It is subsequently shown...