18 citations · 51 across the 12 of their papers we have counts for
13 papers
Populations in environments with a soft carrying capacity are eventually extinct
Peter Jagers, Sergei Zuyev
Consider a population whose size changes stepwise by its members reproducing or dying (disappearing), but is otherwise quite general. Denote the initial (non-random) size by …
Limit theorems for multi-type general branching processes with population dependence
Jie Yen Fan, Kais Hamza, Peter Jagers +1
A general multi-type population model is considered, where individuals live and reproduce according to their age and type, but also under the influence of the size and composition…
On the establishment of a mutant
J. Baker, P. Chigansky, P. Jagers +1
How long does it take for an initially advantageous mutant to establish itself in a resident population, and what does the population composition look like then? We approach these…
Populations with interaction and environmental dependence: from few, (almost) independent, members into deterministic evolution of high densities
P. Chigansky, P. Jagers, F. C. Klebaner
Many populations, e.g. of cells, bacteria, viruses, or replicating DNA molecules, start small, from a few individuals, and grow large into a noticeable fraction of the environmenta…
Convergence of the age structure of general schemes of population processes
Jie Yen Fan, Kais Hamza, Peter Jagers +1
We consider a family of general branching processes with reproduction parameters depending on the age of the individual as well as the population age structure and a parameter ,…
What can be observed in real time PCR and when does it show?
Pavel Chigansky, Peter Jagers, Fima Klebaner
Real time, or quantitative, PCR typically starts from a very low concentration of initial DNA strands. During iterations the numbers increase, first essentially by doubling, later…