44 citations · 53 across the 5 of their papers we have counts for
5 papers
Markov branching process with infinite variance and non-homogeneous immigration with infinite mean
Kosto V. Mitov, Nikolay M. Yanev
The paper studies a class of critical Markov branching processes with infinite variance of the offspring distribution. The processes admit also an immigration component at the jump…
On a class of critical Markov branching processes with non-homogeneous Poisson immigration
Kosto V. Mitov, Nikolay M. Yanev
The paper studies a class of critical Markov branching processes with infinite variance of the offspring distribution. The processes admit also an immigration component at the jump…
Branching stochastic processes as models of Covid-19 epidemic development
Nikolay M. Yanev, Vessela K. Stoimenova, Dimitar V. Atanasov
The aim of the paper is to describe two models of Covid-19 infection dynamics. For this purpose a special class of branching processes with two types of individuals is considered.…
Stochastic modeling and estimation of COVID-19 population dynamics
Nikolay M. Yanev, Vessela K. Stoimenova, Dimitar V. Atanasov
The aim of the paper is to describe a model of the development of the Covid-19 contamination of the population of a country or a region. For this purpose a special branching proces…
Relative frequencies in multitype branching processes
Andrei Y. Yakovlev, Nikolay M. Yanev
This paper considers the relative frequencies of distinct types of individuals in multitype branching processes. We prove that the frequencies are asymptotically multivariate norma…