78 citations · 178 across the 13 of their papers we have counts for
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Some Combinatorial Aspects of Discrete Non-linear Population Dynamics
Nicolas Grosjean, Thierry Huillet
Motivated by issues arising in population dynamics, we consider the problem of iterating a given analytic function a number of times. We use the celebrated technique known as Carle…
Additional aspects of the generalized linear-fractional branching process
Nicolas Grosjean, Thierry Huillet
We derive some additional results on the Bienyamé-Galton-Watson branching process with linear fractional branching mechanism, as studied in \cite{Sag}. This includes: the expli…
On discrete evolutionary dynamics driven by quadratic interactions
Nicolas Grosjean, Thierry Huillet, Geneviève Rollet
After an introduction to the general topic of models for a given locus of a diploid population whose quadratic dynamics is determined by a fitness landscape, we consider more speci…
Deterministic versus stochastic aspects of superexponential population growth models
Nicolas Grosjean, Thierry Huillet
Deterministic population growth models with power-law rates can exhibit a large variety of growth behaviors, ranging from algebraic, exponential to hyperexponential (finite time ex…