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Asymptotic behavior of critical primitive multi-type branching processes with immigration
Asymptotic behavior critical primitive multi-type branching processes immigration Probability
2012/5/24
Under natural assumptions a Feller type diffusion approximation is derived for critical multi-type branching processes with immigration when the offspring mean matrix is primitive (in other words, pos...
Asymptotics of nearly critical Galton-Watson processes with immigration
nearly critical Galton–Watson process immigration compound Poisson distribution negative binomial distribution
2011/9/5
Abstract: We investigate the inhomogeneous Galton--Watson processes with immigration, where $\rho_n$ the offspring means in the $n^\textrm{th}$ generation tends to 1. We show that if the second deriva...
A Lamperti type representation of Continuous-State Branching Processes with Immigration
Levy processes Continuous branching processes with immigration time-change
2011/1/20
Guided by the relationship between the breadth- rst walk of a rooted tree and its sequence of generation sizes, we extend the Lamperti representation of continuous-state branching processes to allow i...
Species abundance distributions in neutral models with immigration or mutation and general lifetimes
Species abundance distribution Crump–Mode–Jagers process splitting tree branching process
2010/12/15
We consider a general, neutral, dynamical model of biodiversity. Individuals have i.i.d.
lifetime durations, which are not necessarily exponentially distributed, and each individual
gives birth inde...
The effects of immigration policies on the diffusion of infectious diseases: Demographic balance and disease control
Epidemic model immigration policies demographic balance
2010/9/10
Epidemics that are either introduced into a population or fuelled by immigrating infective
individuals are subject to dynamics that must include infectiveness external to the population itself. Immig...
Epidemics and immigration in a local community with limited resources and external demographic pressure
Epidemic model immigration demographic balance
2010/9/15
The immigration dynamics of infectives is sometimes an imprescindable modelling feature to fully understand and explain the diffusion of important infections. The inclusion of the dynamics of individu...